granicus.if.org Git - imagemagick/blob - MagickCore/effect.c

   1 /*
   2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   3 %                                                                             %
   4 %                                                                             %
   5 %                                                                             %
   6 %                   EEEEE  FFFFF  FFFFF  EEEEE  CCCC  TTTTT                   %
   7 %                   E      F      F      E     C        T                     %
   8 %                   EEE    FFF    FFF    EEE   C        T                     %
   9 %                   E      F      F      E     C        T                     %
  10 %                   EEEEE  F      F      EEEEE  CCCC    T                     %
  11 %                                                                             %
  12 %                                                                             %
  13 %                       MagickCore Image Effects Methods                      %
  14 %                                                                             %
  15 %                               Software Design                               %
  16 %                                 John Cristy                                 %
  17 %                                 October 1996                                %
  18 %                                                                             %
  19 %                                                                             %
  20 %  Copyright 1999-2011 ImageMagick Studio LLC, a non-profit organization      %
  21 %  dedicated to making software imaging solutions freely available.           %
  22 %                                                                             %
  23 %  You may not use this file except in compliance with the License.  You may  %
  24 %  obtain a copy of the License at                                            %
  25 %                                                                             %
  26 %    http://www.imagemagick.org/script/license.php                            %
  27 %                                                                             %
  28 %  Unless required by applicable law or agreed to in writing, software        %
  29 %  distributed under the License is distributed on an "AS IS" BASIS,          %
  30 %  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.   %
  31 %  See the License for the specific language governing permissions and        %
  32 %  limitations under the License.                                             %
  33 %                                                                             %
  34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  35 %
  36 %
  37 %
  38 */
  39 \f
  40 /*
  41   Include declarations.
  42 */
  43 #include "MagickCore/studio.h"
  44 #include "MagickCore/accelerate.h"
  45 #include "MagickCore/blob.h"
  46 #include "MagickCore/cache-view.h"
  47 #include "MagickCore/color.h"
  48 #include "MagickCore/color-private.h"
  49 #include "MagickCore/colorspace.h"
  50 #include "MagickCore/constitute.h"
  51 #include "MagickCore/decorate.h"
  52 #include "MagickCore/draw.h"
  53 #include "MagickCore/enhance.h"
  54 #include "MagickCore/exception.h"
  55 #include "MagickCore/exception-private.h"
  56 #include "MagickCore/effect.h"
  57 #include "MagickCore/fx.h"
  58 #include "MagickCore/gem.h"
  59 #include "MagickCore/gem-private.h"
  60 #include "MagickCore/geometry.h"
  61 #include "MagickCore/image-private.h"
  62 #include "MagickCore/list.h"
  63 #include "MagickCore/log.h"
  64 #include "MagickCore/memory_.h"
  65 #include "MagickCore/monitor.h"
  66 #include "MagickCore/monitor-private.h"
  67 #include "MagickCore/montage.h"
  68 #include "MagickCore/morphology.h"
  69 #include "MagickCore/paint.h"
  70 #include "MagickCore/pixel-accessor.h"
  71 #include "MagickCore/property.h"
  72 #include "MagickCore/quantize.h"
  73 #include "MagickCore/quantum.h"
  74 #include "MagickCore/quantum-private.h"
  75 #include "MagickCore/random_.h"
  76 #include "MagickCore/random-private.h"
  77 #include "MagickCore/resample.h"
  78 #include "MagickCore/resample-private.h"
  79 #include "MagickCore/resize.h"
  80 #include "MagickCore/resource_.h"
  81 #include "MagickCore/segment.h"
  82 #include "MagickCore/shear.h"
  83 #include "MagickCore/signature-private.h"
  84 #include "MagickCore/string_.h"
  85 #include "MagickCore/thread-private.h"
  86 #include "MagickCore/transform.h"
  87 #include "MagickCore/threshold.h"
  88 \f
  89 /*
  90 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  91 %                                                                             %
  92 %                                                                             %
  93 %                                                                             %
  94 %     A d a p t i v e B l u r I m a g e                                       %
  95 %                                                                             %
  96 %                                                                             %
  97 %                                                                             %
  98 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  99 %
 100 %  AdaptiveBlurImage() adaptively blurs the image by blurring less
 101 %  intensely near image edges and more intensely far from edges.  We blur the
 102 %  image with a Gaussian operator of the given radius and standard deviation
 103 %  (sigma).  For reasonable results, radius should be larger than sigma.  Use a
 104 %  radius of 0 and AdaptiveBlurImage() selects a suitable radius for you.
 105 %
 106 %  The format of the AdaptiveBlurImage method is:
 107 %
 108 %      Image *AdaptiveBlurImage(const Image *image,const double radius,
 109 %        const double sigma,const double bias,ExceptionInfo *exception)
 110 %
 111 %  A description of each parameter follows:
 112 %
 113 %    o image: the image.
 114 %
 115 %    o radius: the radius of the Gaussian, in pixels, not counting the center
 116 %      pixel.
 117 %
 118 %    o sigma: the standard deviation of the Laplacian, in pixels.
 119 %
 120 %    o bias: the bias.
 121 %
 122 %    o exception: return any errors or warnings in this structure.
 123 %
 124 */
 125
 126 MagickExport MagickBooleanType AdaptiveLevelImage(Image *image,
 127   const char *levels,ExceptionInfo *exception)
 128 {
 129   double
 130     black_point,
 131     gamma,
 132     white_point;
 133
 134   GeometryInfo
 135     geometry_info;
 136
 137   MagickBooleanType
 138     status;
 139
 140   MagickStatusType
 141     flags;
 142
 143   /*
 144     Parse levels.
 145   */
 146   if (levels == (char *) NULL)
 147     return(MagickFalse);
 148   flags=ParseGeometry(levels,&geometry_info);
 149   black_point=geometry_info.rho;
 150   white_point=(double) QuantumRange;
 151   if ((flags & SigmaValue) != 0)
 152     white_point=geometry_info.sigma;
 153   gamma=1.0;
 154   if ((flags & XiValue) != 0)
 155     gamma=geometry_info.xi;
 156   if ((flags & PercentValue) != 0)
 157     {
 158       black_point*=(double) image->columns*image->rows/100.0;
 159       white_point*=(double) image->columns*image->rows/100.0;
 160     }
 161   if ((flags & SigmaValue) == 0)
 162     white_point=(double) QuantumRange-black_point;
 163   if ((flags & AspectValue ) == 0)
 164     status=LevelImage(image,black_point,white_point,gamma,exception);
 165   else
 166     status=LevelizeImage(image,black_point,white_point,gamma,exception);
 167   return(status);
 168 }
 169
 170 MagickExport Image *AdaptiveBlurImage(const Image *image,
 171   const double radius,const double sigma,const double bias,
 172   ExceptionInfo *exception)
 173 {
 174 #define AdaptiveBlurImageTag  "Convolve/Image"
 175 #define MagickSigma  (fabs(sigma) <= MagickEpsilon ? 1.0 : sigma)
 176
 177   CacheView
 178     *blur_view,
 179     *edge_view,
 180     *image_view;
 181
 182   double
 183     **kernel,
 184     normalize;
 185
 186   Image
 187     *blur_image,
 188     *edge_image,
 189     *gaussian_image;
 190
 191   MagickBooleanType
 192     status;
 193
 194   MagickOffsetType
 195     progress;
 196
 197   register ssize_t
 198     i;
 199
 200   size_t
 201     width;
 202
 203   ssize_t
 204     j,
 205     k,
 206     u,
 207     v,
 208     y;
 209
 210   assert(image != (const Image *) NULL);
 211   assert(image->signature == MagickSignature);
 212   if (image->debug != MagickFalse)
 213     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
 214   assert(exception != (ExceptionInfo *) NULL);
 215   assert(exception->signature == MagickSignature);
 216   blur_image=CloneImage(image,image->columns,image->rows,MagickTrue,exception);
 217   if (blur_image == (Image *) NULL)
 218     return((Image *) NULL);
 219   if (fabs(sigma) <= MagickEpsilon)
 220     return(blur_image);
 221   if (SetImageStorageClass(blur_image,DirectClass,exception) == MagickFalse)
 222     {
 223       blur_image=DestroyImage(blur_image);
 224       return((Image *) NULL);
 225     }
 226   /*
 227     Edge detect the image brighness channel, level, blur, and level again.
 228   */
 229   edge_image=EdgeImage(image,radius,sigma,exception);
 230   if (edge_image == (Image *) NULL)
 231     {
 232       blur_image=DestroyImage(blur_image);
 233       return((Image *) NULL);
 234     }
 235   (void) AdaptiveLevelImage(edge_image,"20%,95%",exception);
 236   gaussian_image=GaussianBlurImage(edge_image,radius,sigma,bias,exception);
 237   if (gaussian_image != (Image *) NULL)
 238     {
 239       edge_image=DestroyImage(edge_image);
 240       edge_image=gaussian_image;
 241     }
 242   (void) AdaptiveLevelImage(edge_image,"10%,95%",exception);
 243   /*
 244     Create a set of kernels from maximum (radius,sigma) to minimum.
 245   */
 246   width=GetOptimalKernelWidth2D(radius,sigma);
 247   kernel=(double **) AcquireQuantumMemory((size_t) width,sizeof(*kernel));
 248   if (kernel == (double **) NULL)
 249     {
 250       edge_image=DestroyImage(edge_image);
 251       blur_image=DestroyImage(blur_image);
 252       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
 253     }
 254   (void) ResetMagickMemory(kernel,0,(size_t) width*sizeof(*kernel));
 255   for (i=0; i < (ssize_t) width; i+=2)
 256   {
 257     kernel[i]=(double *) AcquireQuantumMemory((size_t) (width-i),(width-i)*
 258       sizeof(**kernel));
 259     if (kernel[i] == (double *) NULL)
 260       break;
 261     normalize=0.0;
 262     j=(ssize_t) (width-i)/2;
 263     k=0;
 264     for (v=(-j); v <= j; v++)
 265     {
 266       for (u=(-j); u <= j; u++)
 267       {
 268         kernel[i][k]=(double) (exp(-((double) u*u+v*v)/(2.0*MagickSigma*
 269           MagickSigma))/(2.0*MagickPI*MagickSigma*MagickSigma));
 270         normalize+=kernel[i][k];
 271         k++;
 272       }
 273     }
 274     if (fabs(normalize) <= MagickEpsilon)
 275       normalize=1.0;
 276     normalize=1.0/normalize;
 277     for (k=0; k < (j*j); k++)
 278       kernel[i][k]=normalize*kernel[i][k];
 279   }
 280   if (i < (ssize_t) width)
 281     {
 282       for (i-=2; i >= 0; i-=2)
 283         kernel[i]=(double *) RelinquishMagickMemory(kernel[i]);
 284       kernel=(double **) RelinquishMagickMemory(kernel);
 285       edge_image=DestroyImage(edge_image);
 286       blur_image=DestroyImage(blur_image);
 287       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
 288     }
 289   /*
 290     Adaptively blur image.
 291   */
 292   status=MagickTrue;
 293   progress=0;
 294   image_view=AcquireCacheView(image);
 295   edge_view=AcquireCacheView(edge_image);
 296   blur_view=AcquireCacheView(blur_image);
 297 #if defined(MAGICKCORE_OPENMP_SUPPORT)
 298   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
 299 #endif
 300   for (y=0; y < (ssize_t) blur_image->rows; y++)
 301   {
 302     register const Quantum
 303       *restrict r;
 304
 305     register Quantum
 306       *restrict q;
 307
 308     register ssize_t
 309       x;
 310
 311     if (status == MagickFalse)
 312       continue;
 313     r=GetCacheViewVirtualPixels(edge_view,0,y,edge_image->columns,1,exception);
 314     q=QueueCacheViewAuthenticPixels(blur_view,0,y,blur_image->columns,1,
 315       exception);
 316     if ((r == (const Quantum *) NULL) || (q == (Quantum *) NULL))
 317       {
 318         status=MagickFalse;
 319         continue;
 320       }
 321     for (x=0; x < (ssize_t) blur_image->columns; x++)
 322     {
 323       register const Quantum
 324         *restrict p;
 325
 326       register ssize_t
 327         i;
 328
 329       ssize_t
 330         center,
 331         j;
 332
 333       j=(ssize_t) ceil((double) width*QuantumScale*
 334         GetPixelIntensity(edge_image,r)-0.5);
 335       if (j < 0)
 336         j=0;
 337       else
 338         if (j > (ssize_t) width)
 339           j=(ssize_t) width;
 340       if ((j & 0x01) != 0)
 341         j--;
 342       p=GetCacheViewVirtualPixels(image_view,x-((ssize_t) (width-j)/2L),y-
 343         (ssize_t) ((width-j)/2L),width-j,width-j,exception);
 344       if (p == (const Quantum *) NULL)
 345         break;
 346       center=(ssize_t) GetPixelChannels(image)*(width-j)*
 347         ((width-j)/2L)+GetPixelChannels(image)*((width-j)/2L);
 348       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
 349       {
 350         MagickRealType
 351           alpha,
 352           gamma,
 353           pixel;
 354
 355         PixelChannel
 356           channel;
 357
 358         PixelTrait
 359           blur_traits,
 360           traits;
 361
 362         register const double
 363           *restrict k;
 364
 365         register const Quantum
 366           *restrict pixels;
 367
 368         register ssize_t
 369           u;
 370
 371         ssize_t
 372           v;
 373
 374         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
 375         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
 376         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
 377         if ((traits == UndefinedPixelTrait) ||
 378             (blur_traits == UndefinedPixelTrait))
 379           continue;
 380         if ((blur_traits & CopyPixelTrait) != 0)
 381           {
 382             q[channel]=p[center+i];
 383             continue;
 384           }
 385         k=kernel[j];
 386         pixels=p;
 387         pixel=bias;
 388         gamma=0.0;
 389         if ((blur_traits & BlendPixelTrait) == 0)
 390           {
 391             /*
 392               No alpha blending.
 393             */
 394             for (v=0; v < (ssize_t) (width-j); v++)
 395             {
 396               for (u=0; u < (ssize_t) (width-j); u++)
 397               {
 398                 pixel+=(*k)*pixels[i];
 399                 gamma+=(*k);
 400                 k++;
 401                 pixels+=GetPixelChannels(image);
 402               }
 403             }
 404             gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
 405             q[channel]=ClampToQuantum(gamma*pixel);
 406             continue;
 407           }
 408         /*
 409           Alpha blending.
 410         */
 411         for (v=0; v < (ssize_t) (width-j); v++)
 412         {
 413           for (u=0; u < (ssize_t) (width-j); u++)
 414           {
 415             alpha=(MagickRealType) (QuantumScale*GetPixelAlpha(image,pixels));
 416             pixel+=(*k)*alpha*pixels[i];
 417             gamma+=(*k)*alpha;
 418             k++;
 419             pixels+=GetPixelChannels(image);
 420           }
 421         }
 422         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
 423         q[channel]=ClampToQuantum(gamma*pixel);
 424       }
 425       q+=GetPixelChannels(blur_image);
 426       r+=GetPixelChannels(edge_image);
 427     }
 428     if (SyncCacheViewAuthenticPixels(blur_view,exception) == MagickFalse)
 429       status=MagickFalse;
 430     if (image->progress_monitor != (MagickProgressMonitor) NULL)
 431       {
 432         MagickBooleanType
 433           proceed;
 434
 435 #if defined(MAGICKCORE_OPENMP_SUPPORT)
 436   #pragma omp critical (MagickCore_AdaptiveBlurImage)
 437 #endif
 438         proceed=SetImageProgress(image,AdaptiveBlurImageTag,progress++,
 439           image->rows);
 440         if (proceed == MagickFalse)
 441           status=MagickFalse;
 442       }
 443   }
 444   blur_image->type=image->type;
 445   blur_view=DestroyCacheView(blur_view);
 446   edge_view=DestroyCacheView(edge_view);
 447   image_view=DestroyCacheView(image_view);
 448   edge_image=DestroyImage(edge_image);
 449   for (i=0; i < (ssize_t) width;  i+=2)
 450     kernel[i]=(double *) RelinquishMagickMemory(kernel[i]);
 451   kernel=(double **) RelinquishMagickMemory(kernel);
 452   if (status == MagickFalse)
 453     blur_image=DestroyImage(blur_image);
 454   return(blur_image);
 455 }
 456 \f
 457 /*
 458 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 459 %                                                                             %
 460 %                                                                             %
 461 %                                                                             %
 462 %     A d a p t i v e S h a r p e n I m a g e                                 %
 463 %                                                                             %
 464 %                                                                             %
 465 %                                                                             %
 466 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 467 %
 468 %  AdaptiveSharpenImage() adaptively sharpens the image by sharpening more
 469 %  intensely near image edges and less intensely far from edges. We sharpen the
 470 %  image with a Gaussian operator of the given radius and standard deviation
 471 %  (sigma).  For reasonable results, radius should be larger than sigma.  Use a
 472 %  radius of 0 and AdaptiveSharpenImage() selects a suitable radius for you.
 473 %
 474 %  The format of the AdaptiveSharpenImage method is:
 475 %
 476 %      Image *AdaptiveSharpenImage(const Image *image,const double radius,
 477 %        const double sigma,const double bias,ExceptionInfo *exception)
 478 %
 479 %  A description of each parameter follows:
 480 %
 481 %    o image: the image.
 482 %
 483 %    o radius: the radius of the Gaussian, in pixels, not counting the center
 484 %      pixel.
 485 %
 486 %    o sigma: the standard deviation of the Laplacian, in pixels.
 487 %
 488 %    o bias: the bias.
 489 %
 490 %    o exception: return any errors or warnings in this structure.
 491 %
 492 */
 493 MagickExport Image *AdaptiveSharpenImage(const Image *image,const double radius,
 494   const double sigma,const double bias,ExceptionInfo *exception)
 495 {
 496 #define AdaptiveSharpenImageTag  "Convolve/Image"
 497 #define MagickSigma  (fabs(sigma) <= MagickEpsilon ? 1.0 : sigma)
 498
 499   CacheView
 500     *sharp_view,
 501     *edge_view,
 502     *image_view;
 503
 504   double
 505     **kernel,
 506     normalize;
 507
 508   Image
 509     *sharp_image,
 510     *edge_image,
 511     *gaussian_image;
 512
 513   MagickBooleanType
 514     status;
 515
 516   MagickOffsetType
 517     progress;
 518
 519   register ssize_t
 520     i;
 521
 522   size_t
 523     width;
 524
 525   ssize_t
 526     j,
 527     k,
 528     u,
 529     v,
 530     y;
 531
 532   assert(image != (const Image *) NULL);
 533   assert(image->signature == MagickSignature);
 534   if (image->debug != MagickFalse)
 535     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
 536   assert(exception != (ExceptionInfo *) NULL);
 537   assert(exception->signature == MagickSignature);
 538   sharp_image=CloneImage(image,0,0,MagickTrue,exception);
 539   if (sharp_image == (Image *) NULL)
 540     return((Image *) NULL);
 541   if (fabs(sigma) <= MagickEpsilon)
 542     return(sharp_image);
 543   if (SetImageStorageClass(sharp_image,DirectClass,exception) == MagickFalse)
 544     {
 545       sharp_image=DestroyImage(sharp_image);
 546       return((Image *) NULL);
 547     }
 548   /*
 549     Edge detect the image brighness channel, level, sharp, and level again.
 550   */
 551   edge_image=EdgeImage(image,radius,sigma,exception);
 552   if (edge_image == (Image *) NULL)
 553     {
 554       sharp_image=DestroyImage(sharp_image);
 555       return((Image *) NULL);
 556     }
 557   (void) AdaptiveLevelImage(edge_image,"20%,95%",exception);
 558   gaussian_image=GaussianBlurImage(edge_image,radius,sigma,bias,exception);
 559   if (gaussian_image != (Image *) NULL)
 560     {
 561       edge_image=DestroyImage(edge_image);
 562       edge_image=gaussian_image;
 563     }
 564   (void) AdaptiveLevelImage(edge_image,"10%,95%",exception);
 565   /*
 566     Create a set of kernels from maximum (radius,sigma) to minimum.
 567   */
 568   width=GetOptimalKernelWidth2D(radius,sigma);
 569   kernel=(double **) AcquireQuantumMemory((size_t) width,sizeof(*kernel));
 570   if (kernel == (double **) NULL)
 571     {
 572       edge_image=DestroyImage(edge_image);
 573       sharp_image=DestroyImage(sharp_image);
 574       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
 575     }
 576   (void) ResetMagickMemory(kernel,0,(size_t) width*sizeof(*kernel));
 577   for (i=0; i < (ssize_t) width; i+=2)
 578   {
 579     kernel[i]=(double *) AcquireQuantumMemory((size_t) (width-i),(width-i)*
 580       sizeof(**kernel));
 581     if (kernel[i] == (double *) NULL)
 582       break;
 583     normalize=0.0;
 584     j=(ssize_t) (width-i)/2;
 585     k=0;
 586     for (v=(-j); v <= j; v++)
 587     {
 588       for (u=(-j); u <= j; u++)
 589       {
 590         kernel[i][k]=(double) (-exp(-((double) u*u+v*v)/(2.0*MagickSigma*
 591           MagickSigma))/(2.0*MagickPI*MagickSigma*MagickSigma));
 592         normalize+=kernel[i][k];
 593         k++;
 594       }
 595     }
 596     if (fabs(normalize) <= MagickEpsilon)
 597       normalize=1.0;
 598     normalize=1.0/normalize;
 599     for (k=0; k < (j*j); k++)
 600       kernel[i][k]=normalize*kernel[i][k];
 601   }
 602   if (i < (ssize_t) width)
 603     {
 604       for (i-=2; i >= 0; i-=2)
 605         kernel[i]=(double *) RelinquishMagickMemory(kernel[i]);
 606       kernel=(double **) RelinquishMagickMemory(kernel);
 607       edge_image=DestroyImage(edge_image);
 608       sharp_image=DestroyImage(sharp_image);
 609       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
 610     }
 611   /*
 612     Adaptively sharpen image.
 613   */
 614   status=MagickTrue;
 615   progress=0;
 616   image_view=AcquireCacheView(image);
 617   edge_view=AcquireCacheView(edge_image);
 618   sharp_view=AcquireCacheView(sharp_image);
 619 #if defined(MAGICKCORE_OPENMP_SUPPORT)
 620   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
 621 #endif
 622   for (y=0; y < (ssize_t) sharp_image->rows; y++)
 623   {
 624     register const Quantum
 625       *restrict r;
 626
 627     register Quantum
 628       *restrict q;
 629
 630     register ssize_t
 631       x;
 632
 633     if (status == MagickFalse)
 634       continue;
 635     r=GetCacheViewVirtualPixels(edge_view,0,y,edge_image->columns,1,exception);
 636     q=QueueCacheViewAuthenticPixels(sharp_view,0,y,sharp_image->columns,1,
 637       exception);
 638     if ((r == (const Quantum *) NULL) || (q == (Quantum *) NULL))
 639       {
 640         status=MagickFalse;
 641         continue;
 642       }
 643     for (x=0; x < (ssize_t) sharp_image->columns; x++)
 644     {
 645       register const Quantum
 646         *restrict p;
 647
 648       register ssize_t
 649         i;
 650
 651       ssize_t
 652         center,
 653         j;
 654
 655       j=(ssize_t) ceil((double) width*QuantumScale*
 656         GetPixelIntensity(edge_image,r)-0.5);
 657       if (j < 0)
 658         j=0;
 659       else
 660         if (j > (ssize_t) width)
 661           j=(ssize_t) width;
 662       if ((j & 0x01) != 0)
 663         j--;
 664       p=GetCacheViewVirtualPixels(image_view,x-((ssize_t) (width-j)/2L),y-
 665         (ssize_t) ((width-j)/2L),width-j,width-j,exception);
 666       if (p == (const Quantum *) NULL)
 667         break;
 668       center=(ssize_t) GetPixelChannels(image)*(width-j)*
 669         ((width-j)/2L)+GetPixelChannels(image)*((width-j)/2);
 670       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
 671       {
 672         MagickRealType
 673           alpha,
 674           gamma,
 675           pixel;
 676
 677         PixelChannel
 678           channel;
 679
 680         PixelTrait
 681           sharp_traits,
 682           traits;
 683
 684         register const double
 685           *restrict k;
 686
 687         register const Quantum
 688           *restrict pixels;
 689
 690         register ssize_t
 691           u;
 692
 693         ssize_t
 694           v;
 695
 696         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
 697         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
 698         sharp_traits=GetPixelChannelMapTraits(sharp_image,channel);
 699         if ((traits == UndefinedPixelTrait) ||
 700             (sharp_traits == UndefinedPixelTrait))
 701           continue;
 702         if ((sharp_traits & CopyPixelTrait) != 0)
 703           {
 704             q[channel]=p[center+i];
 705             continue;
 706           }
 707         k=kernel[j];
 708         pixels=p;
 709         pixel=bias;
 710         gamma=0.0;
 711         if ((sharp_traits & BlendPixelTrait) == 0)
 712           {
 713             /*
 714               No alpha blending.
 715             */
 716             for (v=0; v < (ssize_t) (width-j); v++)
 717             {
 718               for (u=0; u < (ssize_t) (width-j); u++)
 719               {
 720                 pixel+=(*k)*pixels[i];
 721                 gamma+=(*k);
 722                 k++;
 723                 pixels+=GetPixelChannels(image);
 724               }
 725             }
 726             gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
 727             q[channel]=ClampToQuantum(gamma*pixel);
 728             continue;
 729           }
 730         /*
 731           Alpha blending.
 732         */
 733         for (v=0; v < (ssize_t) (width-j); v++)
 734         {
 735           for (u=0; u < (ssize_t) (width-j); u++)
 736           {
 737             alpha=(MagickRealType) (QuantumScale*GetPixelAlpha(image,pixels));
 738             pixel+=(*k)*alpha*pixels[i];
 739             gamma+=(*k)*alpha;
 740             k++;
 741             pixels+=GetPixelChannels(image);
 742           }
 743         }
 744         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
 745         q[channel]=ClampToQuantum(gamma*pixel);
 746       }
 747       q+=GetPixelChannels(sharp_image);
 748       r+=GetPixelChannels(edge_image);
 749     }
 750     if (SyncCacheViewAuthenticPixels(sharp_view,exception) == MagickFalse)
 751       status=MagickFalse;
 752     if (image->progress_monitor != (MagickProgressMonitor) NULL)
 753       {
 754         MagickBooleanType
 755           proceed;
 756
 757 #if defined(MAGICKCORE_OPENMP_SUPPORT)
 758   #pragma omp critical (MagickCore_AdaptiveSharpenImage)
 759 #endif
 760         proceed=SetImageProgress(image,AdaptiveSharpenImageTag,progress++,
 761           image->rows);
 762         if (proceed == MagickFalse)
 763           status=MagickFalse;
 764       }
 765   }
 766   sharp_image->type=image->type;
 767   sharp_view=DestroyCacheView(sharp_view);
 768   edge_view=DestroyCacheView(edge_view);
 769   image_view=DestroyCacheView(image_view);
 770   edge_image=DestroyImage(edge_image);
 771   for (i=0; i < (ssize_t) width;  i+=2)
 772     kernel[i]=(double *) RelinquishMagickMemory(kernel[i]);
 773   kernel=(double **) RelinquishMagickMemory(kernel);
 774   if (status == MagickFalse)
 775     sharp_image=DestroyImage(sharp_image);
 776   return(sharp_image);
 777 }
 778 \f
 779 /*
 780 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 781 %                                                                             %
 782 %                                                                             %
 783 %                                                                             %
 784 %     B l u r I m a g e                                                       %
 785 %                                                                             %
 786 %                                                                             %
 787 %                                                                             %
 788 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 789 %
 790 %  BlurImage() blurs an image.  We convolve the image with a Gaussian operator
 791 %  of the given radius and standard deviation (sigma).  For reasonable results,
 792 %  the radius should be larger than sigma.  Use a radius of 0 and BlurImage()
 793 %  selects a suitable radius for you.
 794 %
 795 %  BlurImage() differs from GaussianBlurImage() in that it uses a separable
 796 %  kernel which is faster but mathematically equivalent to the non-separable
 797 %  kernel.
 798 %
 799 %  The format of the BlurImage method is:
 800 %
 801 %      Image *BlurImage(const Image *image,const double radius,
 802 %        const double sigma,const double bias,ExceptionInfo *exception)
 803 %
 804 %  A description of each parameter follows:
 805 %
 806 %    o image: the image.
 807 %
 808 %    o radius: the radius of the Gaussian, in pixels, not counting the center
 809 %      pixel.
 810 %
 811 %    o sigma: the standard deviation of the Gaussian, in pixels.
 812 %
 813 %    o bias: the bias.
 814 %
 815 %    o exception: return any errors or warnings in this structure.
 816 %
 817 */
 818
 819 static double *GetBlurKernel(const size_t width,const double sigma)
 820 {
 821   double
 822     *kernel,
 823     normalize;
 824
 825   register ssize_t
 826     i;
 827
 828   ssize_t
 829     j,
 830     k;
 831
 832   /*
 833     Generate a 1-D convolution kernel.
 834   */
 835   (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
 836   kernel=(double *) AcquireQuantumMemory((size_t) width,sizeof(*kernel));
 837   if (kernel == (double *) NULL)
 838     return(0);
 839   normalize=0.0;
 840   j=(ssize_t) width/2;
 841   i=0;
 842   for (k=(-j); k <= j; k++)
 843   {
 844     kernel[i]=(double) (exp(-((double) k*k)/(2.0*MagickSigma*MagickSigma))/
 845       (MagickSQ2PI*MagickSigma));
 846     normalize+=kernel[i];
 847     i++;
 848   }
 849   for (i=0; i < (ssize_t) width; i++)
 850     kernel[i]/=normalize;
 851   return(kernel);
 852 }
 853
 854 MagickExport Image *BlurImage(const Image *image,const double radius,
 855   const double sigma,const double bias,ExceptionInfo *exception)
 856 {
 857 #define BlurImageTag  "Blur/Image"
 858
 859   CacheView
 860     *blur_view,
 861     *image_view;
 862
 863   double
 864     *kernel;
 865
 866   Image
 867     *blur_image;
 868
 869   MagickBooleanType
 870     status;
 871
 872   MagickOffsetType
 873     progress;
 874
 875   register ssize_t
 876     i;
 877
 878   size_t
 879     width;
 880
 881   ssize_t
 882     center,
 883     x,
 884     y;
 885
 886   /*
 887     Initialize blur image attributes.
 888   */
 889   assert(image != (Image *) NULL);
 890   assert(image->signature == MagickSignature);
 891   if (image->debug != MagickFalse)
 892     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
 893   assert(exception != (ExceptionInfo *) NULL);
 894   assert(exception->signature == MagickSignature);
 895   blur_image=CloneImage(image,0,0,MagickTrue,exception);
 896   if (blur_image == (Image *) NULL)
 897     return((Image *) NULL);
 898   if (fabs(sigma) <= MagickEpsilon)
 899     return(blur_image);
 900   if (SetImageStorageClass(blur_image,DirectClass,exception) == MagickFalse)
 901     {
 902       blur_image=DestroyImage(blur_image);
 903       return((Image *) NULL);
 904     }
 905   width=GetOptimalKernelWidth1D(radius,sigma);
 906   kernel=GetBlurKernel(width,sigma);
 907   if (kernel == (double *) NULL)
 908     {
 909       blur_image=DestroyImage(blur_image);
 910       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
 911     }
 912   if (image->debug != MagickFalse)
 913     {
 914       char
 915         format[MaxTextExtent],
 916         *message;
 917
 918       register const double
 919         *k;
 920
 921       (void) LogMagickEvent(TransformEvent,GetMagickModule(),
 922         "  BlurImage with %.20g kernel:",(double) width);
 923       message=AcquireString("");
 924       k=kernel;
 925       for (i=0; i < (ssize_t) width; i++)
 926       {
 927         *message='\0';
 928         (void) FormatLocaleString(format,MaxTextExtent,"%.20g: ",(double) i);
 929         (void) ConcatenateString(&message,format);
 930         (void) FormatLocaleString(format,MaxTextExtent,"%g ",*k++);
 931         (void) ConcatenateString(&message,format);
 932         (void) LogMagickEvent(TransformEvent,GetMagickModule(),"%s",message);
 933       }
 934       message=DestroyString(message);
 935     }
 936   /*
 937     Blur rows.
 938   */
 939   status=MagickTrue;
 940   progress=0;
 941   center=(ssize_t) GetPixelChannels(image)*(width/2L);
 942   image_view=AcquireCacheView(image);
 943   blur_view=AcquireCacheView(blur_image);
 944 #if defined(MAGICKCORE_OPENMP_SUPPORT)
 945   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
 946 #endif
 947   for (y=0; y < (ssize_t) image->rows; y++)
 948   {
 949     register const Quantum
 950       *restrict p;
 951
 952     register Quantum
 953       *restrict q;
 954
 955     register ssize_t
 956       x;
 957
 958     if (status == MagickFalse)
 959       continue;
 960     p=GetCacheViewVirtualPixels(image_view,-((ssize_t) width/2L),y,
 961       image->columns+width,1,exception);
 962     q=GetCacheViewAuthenticPixels(blur_view,0,y,blur_image->columns,1,
 963       exception);
 964     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
 965       {
 966         status=MagickFalse;
 967         continue;
 968       }
 969     for (x=0; x < (ssize_t) image->columns; x++)
 970     {
 971       register ssize_t
 972         i;
 973
 974       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
 975       {
 976         MagickRealType
 977           alpha,
 978           gamma,
 979           pixel;
 980
 981         PixelChannel
 982           channel;
 983
 984         PixelTrait
 985           blur_traits,
 986           traits;
 987
 988         register const double
 989           *restrict k;
 990
 991         register const Quantum
 992           *restrict pixels;
 993
 994         register ssize_t
 995           u;
 996
 997         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
 998         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
 999         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
1000         if ((traits == UndefinedPixelTrait) ||
1001             (blur_traits == UndefinedPixelTrait))
1002           continue;
1003         if ((blur_traits & CopyPixelTrait) != 0)
1004           {
1005             q[channel]=p[center+i];
1006             continue;
1007           }
1008         k=kernel;
1009         pixels=p;
1010         pixel=0.0;
1011         if ((blur_traits & BlendPixelTrait) == 0)
1012           {
1013             /*
1014               No alpha blending.
1015             */
1016             for (u=0; u < (ssize_t) width; u++)
1017             {
1018               pixel+=(*k)*pixels[i];
1019               k++;
1020               pixels+=GetPixelChannels(image);
1021             }
1022             q[channel]=ClampToQuantum(pixel);
1023             continue;
1024           }
1025         /*
1026           Alpha blending.
1027         */
1028         gamma=0.0;
1029         for (u=0; u < (ssize_t) width; u++)
1030         {
1031           alpha=(MagickRealType) (QuantumScale*GetPixelAlpha(image,pixels));
1032           pixel+=(*k)*alpha*pixels[i];
1033           gamma+=(*k)*alpha;
1034           k++;
1035           pixels+=GetPixelChannels(image);
1036         }
1037         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
1038         q[channel]=ClampToQuantum(gamma*pixel);
1039       }
1040       p+=GetPixelChannels(image);
1041       q+=GetPixelChannels(blur_image);
1042     }
1043     if (SyncCacheViewAuthenticPixels(blur_view,exception) == MagickFalse)
1044       status=MagickFalse;
1045     if (image->progress_monitor != (MagickProgressMonitor) NULL)
1046       {
1047         MagickBooleanType
1048           proceed;
1049
1050 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1051   #pragma omp critical (MagickCore_BlurImage)
1052 #endif
1053         proceed=SetImageProgress(image,BlurImageTag,progress++,blur_image->rows+
1054           blur_image->columns);
1055         if (proceed == MagickFalse)
1056           status=MagickFalse;
1057       }
1058   }
1059   blur_view=DestroyCacheView(blur_view);
1060   image_view=DestroyCacheView(image_view);
1061   /*
1062     Blur columns.
1063   */
1064   image_view=AcquireCacheView(blur_image);
1065   blur_view=AcquireCacheView(blur_image);
1066 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1067   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
1068 #endif
1069   for (x=0; x < (ssize_t) image->columns; x++)
1070   {
1071     register const Quantum
1072       *restrict p;
1073
1074     register Quantum
1075       *restrict q;
1076
1077     register ssize_t
1078       y;
1079
1080     if (status == MagickFalse)
1081       continue;
1082     p=GetCacheViewVirtualPixels(image_view,x,-((ssize_t) width/2L),1,
1083       image->rows+width,exception);
1084     q=GetCacheViewAuthenticPixels(blur_view,x,0,1,blur_image->rows,exception);
1085     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
1086       {
1087         status=MagickFalse;
1088         continue;
1089       }
1090     for (y=0; y < (ssize_t) image->rows; y++)
1091     {
1092       register ssize_t
1093         i;
1094
1095       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
1096       {
1097         MagickRealType
1098           alpha,
1099           gamma,
1100           pixel;
1101
1102         PixelChannel
1103           channel;
1104
1105         PixelTrait
1106           blur_traits,
1107           traits;
1108
1109         register const double
1110           *restrict k;
1111
1112         register const Quantum
1113           *restrict pixels;
1114
1115         register ssize_t
1116           u;
1117
1118         traits=GetPixelChannelMapTraits(blur_image,(PixelChannel) i);
1119         channel=GetPixelChannelMapChannel(blur_image,(PixelChannel) i);
1120         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
1121         if ((traits == UndefinedPixelTrait) ||
1122             (blur_traits == UndefinedPixelTrait))
1123           continue;
1124         if ((blur_traits & CopyPixelTrait) != 0)
1125           {
1126             q[channel]=p[center+i];
1127             continue;
1128           }
1129         k=kernel;
1130         pixels=p;
1131         pixel=0.0;
1132         if ((blur_traits & BlendPixelTrait) == 0)
1133           {
1134             /*
1135               No alpha blending.
1136             */
1137             for (u=0; u < (ssize_t) width; u++)
1138             {
1139               pixel+=(*k)*pixels[i];
1140               k++;
1141               pixels+=GetPixelChannels(blur_image);
1142             }
1143             q[channel]=ClampToQuantum(pixel);
1144             continue;
1145           }
1146         /*
1147           Alpha blending.
1148         */
1149         gamma=0.0;
1150         for (u=0; u < (ssize_t) width; u++)
1151         {
1152           alpha=(MagickRealType) (QuantumScale*
1153             GetPixelAlpha(blur_image,pixels));
1154           pixel+=(*k)*alpha*pixels[i];
1155           gamma+=(*k)*alpha;
1156           k++;
1157           pixels+=GetPixelChannels(blur_image);
1158         }
1159         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
1160         q[channel]=ClampToQuantum(gamma*pixel);
1161       }
1162       p+=GetPixelChannels(blur_image);
1163       q+=GetPixelChannels(blur_image);
1164     }
1165     if (SyncCacheViewAuthenticPixels(blur_view,exception) == MagickFalse)
1166       status=MagickFalse;
1167     if (blur_image->progress_monitor != (MagickProgressMonitor) NULL)
1168       {
1169         MagickBooleanType
1170           proceed;
1171
1172 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1173   #pragma omp critical (MagickCore_BlurImage)
1174 #endif
1175         proceed=SetImageProgress(blur_image,BlurImageTag,progress++,
1176           blur_image->rows+blur_image->columns);
1177         if (proceed == MagickFalse)
1178           status=MagickFalse;
1179       }
1180   }
1181   blur_view=DestroyCacheView(blur_view);
1182   image_view=DestroyCacheView(image_view);
1183   kernel=(double *) RelinquishMagickMemory(kernel);
1184   if (status == MagickFalse)
1185     blur_image=DestroyImage(blur_image);
1186   blur_image->type=image->type;
1187   return(blur_image);
1188 }
1189 \f
1190 /*
1191 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1192 %                                                                             %
1193 %                                                                             %
1194 %                                                                             %
1195 %     C o n v o l v e I m a g e                                               %
1196 %                                                                             %
1197 %                                                                             %
1198 %                                                                             %
1199 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1200 %
1201 %  ConvolveImage() applies a custom convolution kernel to the image.
1202 %
1203 %  The format of the ConvolveImage method is:
1204 %
1205 %      Image *ConvolveImage(const Image *image,const KernelInfo *kernel,
1206 %        ExceptionInfo *exception)
1207 %
1208 %  A description of each parameter follows:
1209 %
1210 %    o image: the image.
1211 %
1212 %    o kernel: the filtering kernel.
1213 %
1214 %    o exception: return any errors or warnings in this structure.
1215 %
1216 */
1217 MagickExport Image *ConvolveImage(const Image *image,
1218   const KernelInfo *kernel_info,ExceptionInfo *exception)
1219 {
1220 #define ConvolveImageTag  "Convolve/Image"
1221
1222   CacheView
1223     *convolve_view,
1224     *image_view;
1225
1226   Image
1227     *convolve_image;
1228
1229   MagickBooleanType
1230     status;
1231
1232   MagickOffsetType
1233     progress;
1234
1235   ssize_t
1236     center,
1237     y;
1238
1239   /*
1240     Initialize convolve image attributes.
1241   */
1242   assert(image != (Image *) NULL);
1243   assert(image->signature == MagickSignature);
1244   if (image->debug != MagickFalse)
1245     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1246   assert(exception != (ExceptionInfo *) NULL);
1247   assert(exception->signature == MagickSignature);
1248   if ((kernel_info->width % 2) == 0)
1249     ThrowImageException(OptionError,"KernelWidthMustBeAnOddNumber");
1250   convolve_image=CloneImage(image,image->columns,image->rows,MagickTrue,
1251     exception);
1252   if (convolve_image == (Image *) NULL)
1253     return((Image *) NULL);
1254   if (SetImageStorageClass(convolve_image,DirectClass,exception) == MagickFalse)
1255     {
1256       convolve_image=DestroyImage(convolve_image);
1257       return((Image *) NULL);
1258     }
1259   if (image->debug != MagickFalse)
1260     {
1261       char
1262         format[MaxTextExtent],
1263         *message;
1264
1265       register const double
1266         *k;
1267
1268       register ssize_t
1269         u;
1270
1271       ssize_t
1272         v;
1273
1274       (void) LogMagickEvent(TransformEvent,GetMagickModule(),
1275         "  ConvolveImage with %.20gx%.20g kernel:",(double) kernel_info->width,
1276         (double) kernel_info->height);
1277       message=AcquireString("");
1278       k=kernel_info->values;
1279       for (v=0; v < (ssize_t) kernel_info->width; v++)
1280       {
1281         *message='\0';
1282         (void) FormatLocaleString(format,MaxTextExtent,"%.20g: ",(double) v);
1283         (void) ConcatenateString(&message,format);
1284         for (u=0; u < (ssize_t) kernel_info->height; u++)
1285         {
1286           (void) FormatLocaleString(format,MaxTextExtent,"%g ",*k++);
1287           (void) ConcatenateString(&message,format);
1288         }
1289         (void) LogMagickEvent(TransformEvent,GetMagickModule(),"%s",message);
1290       }
1291       message=DestroyString(message);
1292     }
1293   /*
1294     Convolve image.
1295   */
1296   center=(ssize_t) GetPixelChannels(image)*(image->columns+kernel_info->width)*
1297     (kernel_info->height/2L)+GetPixelChannels(image)*(kernel_info->width/2L);
1298   status=MagickTrue;
1299   progress=0;
1300   image_view=AcquireCacheView(image);
1301   convolve_view=AcquireCacheView(convolve_image);
1302 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1303   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
1304 #endif
1305   for (y=0; y < (ssize_t) image->rows; y++)
1306   {
1307     register const Quantum
1308       *restrict p;
1309
1310     register Quantum
1311       *restrict q;
1312
1313     register ssize_t
1314       x;
1315
1316     if (status == MagickFalse)
1317       continue;
1318     p=GetCacheViewVirtualPixels(image_view,-((ssize_t) kernel_info->width/2L),y-
1319       (ssize_t) (kernel_info->height/2L),image->columns+kernel_info->width,
1320       kernel_info->height,exception);
1321     q=QueueCacheViewAuthenticPixels(convolve_view,0,y,convolve_image->columns,1,
1322       exception);
1323     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
1324       {
1325         status=MagickFalse;
1326         continue;
1327       }
1328     for (x=0; x < (ssize_t) image->columns; x++)
1329     {
1330       register ssize_t
1331         i;
1332
1333       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
1334       {
1335         MagickRealType
1336           alpha,
1337           gamma,
1338           pixel;
1339
1340         PixelChannel
1341           channel;
1342
1343         PixelTrait
1344           convolve_traits,
1345           traits;
1346
1347         register const double
1348           *restrict k;
1349
1350         register const Quantum
1351           *restrict pixels;
1352
1353         register ssize_t
1354           u;
1355
1356         ssize_t
1357           v;
1358
1359         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
1360         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
1361         convolve_traits=GetPixelChannelMapTraits(convolve_image,channel);
1362         if ((traits == UndefinedPixelTrait) ||
1363             (convolve_traits == UndefinedPixelTrait))
1364           continue;
1365         if ((convolve_traits & CopyPixelTrait) != 0)
1366           {
1367             q[channel]=p[center+i];
1368             continue;
1369           }
1370         k=kernel_info->values;
1371         pixels=p;
1372         pixel=kernel_info->bias;
1373         if ((convolve_traits & BlendPixelTrait) == 0)
1374           {
1375             /*
1376               No alpha blending.
1377             */
1378             for (v=0; v < (ssize_t) kernel_info->height; v++)
1379             {
1380               for (u=0; u < (ssize_t) kernel_info->width; u++)
1381               {
1382                 pixel+=(*k)*pixels[i];
1383                 k++;
1384                 pixels+=GetPixelChannels(image);
1385               }
1386               pixels+=image->columns*GetPixelChannels(image);
1387             }
1388             q[channel]=ClampToQuantum(pixel);
1389             continue;
1390           }
1391         /*
1392           Alpha blending.
1393         */
1394         gamma=0.0;
1395         for (v=0; v < (ssize_t) kernel_info->height; v++)
1396         {
1397           for (u=0; u < (ssize_t) kernel_info->width; u++)
1398           {
1399             alpha=(MagickRealType) (QuantumScale*GetPixelAlpha(image,pixels));
1400             pixel+=(*k)*alpha*pixels[i];
1401             gamma+=(*k)*alpha;
1402             k++;
1403             pixels+=GetPixelChannels(image);
1404           }
1405           pixels+=image->columns*GetPixelChannels(image);
1406         }
1407         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
1408         q[channel]=ClampToQuantum(gamma*pixel);
1409       }
1410       p+=GetPixelChannels(image);
1411       q+=GetPixelChannels(convolve_image);
1412     }
1413     if (SyncCacheViewAuthenticPixels(convolve_view,exception) == MagickFalse)
1414       status=MagickFalse;
1415     if (image->progress_monitor != (MagickProgressMonitor) NULL)
1416       {
1417         MagickBooleanType
1418           proceed;
1419
1420 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1421   #pragma omp critical (MagickCore_ConvolveImage)
1422 #endif
1423         proceed=SetImageProgress(image,ConvolveImageTag,progress++,image->rows);
1424         if (proceed == MagickFalse)
1425           status=MagickFalse;
1426       }
1427   }
1428   convolve_image->type=image->type;
1429   convolve_view=DestroyCacheView(convolve_view);
1430   image_view=DestroyCacheView(image_view);
1431   if (status == MagickFalse)
1432     convolve_image=DestroyImage(convolve_image);
1433   return(convolve_image);
1434 }
1435 \f
1436 /*
1437 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1438 %                                                                             %
1439 %                                                                             %
1440 %                                                                             %
1441 %     D e s p e c k l e I m a g e                                             %
1442 %                                                                             %
1443 %                                                                             %
1444 %                                                                             %
1445 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1446 %
1447 %  DespeckleImage() reduces the speckle noise in an image while perserving the
1448 %  edges of the original image.
1449 %
1450 %  The format of the DespeckleImage method is:
1451 %
1452 %      Image *DespeckleImage(const Image *image,ExceptionInfo *exception)
1453 %
1454 %  A description of each parameter follows:
1455 %
1456 %    o image: the image.
1457 %
1458 %    o exception: return any errors or warnings in this structure.
1459 %
1460 */
1461
1462 static void Hull(const ssize_t x_offset,const ssize_t y_offset,
1463   const size_t columns,const size_t rows,Quantum *f,Quantum *g,
1464   const int polarity)
1465 {
1466   MagickRealType
1467     v;
1468
1469   register Quantum
1470     *p,
1471     *q,
1472     *r,
1473     *s;
1474
1475   register ssize_t
1476     x;
1477
1478   ssize_t
1479     y;
1480
1481   assert(f != (Quantum *) NULL);
1482   assert(g != (Quantum *) NULL);
1483   p=f+(columns+2);
1484   q=g+(columns+2);
1485   r=p+(y_offset*((ssize_t) columns+2)+x_offset);
1486   for (y=0; y < (ssize_t) rows; y++)
1487   {
1488     p++;
1489     q++;
1490     r++;
1491     if (polarity > 0)
1492       for (x=(ssize_t) columns; x != 0; x--)
1493       {
1494         v=(MagickRealType) (*p);
1495         if ((MagickRealType) *r >= (v+(MagickRealType) ScaleCharToQuantum(2)))
1496           v+=ScaleCharToQuantum(1);
1497         *q=(Quantum) v;
1498         p++;
1499         q++;
1500         r++;
1501       }
1502     else
1503       for (x=(ssize_t) columns; x != 0; x--)
1504       {
1505         v=(MagickRealType) (*p);
1506         if ((MagickRealType) *r <= (v-(MagickRealType) ScaleCharToQuantum(2)))
1507           v-=(ssize_t) ScaleCharToQuantum(1);
1508         *q=(Quantum) v;
1509         p++;
1510         q++;
1511         r++;
1512       }
1513     p++;
1514     q++;
1515     r++;
1516   }
1517   p=f+(columns+2);
1518   q=g+(columns+2);
1519   r=q+(y_offset*((ssize_t) columns+2)+x_offset);
1520   s=q-(y_offset*((ssize_t) columns+2)+x_offset);
1521   for (y=0; y < (ssize_t) rows; y++)
1522   {
1523     p++;
1524     q++;
1525     r++;
1526     s++;
1527     if (polarity > 0)
1528       for (x=(ssize_t) columns; x != 0; x--)
1529       {
1530         v=(MagickRealType) (*q);
1531         if (((MagickRealType) *s >=
1532              (v+(MagickRealType) ScaleCharToQuantum(2))) &&
1533             ((MagickRealType) *r > v))
1534           v+=ScaleCharToQuantum(1);
1535         *p=(Quantum) v;
1536         p++;
1537         q++;
1538         r++;
1539         s++;
1540       }
1541     else
1542       for (x=(ssize_t) columns; x != 0; x--)
1543       {
1544         v=(MagickRealType) (*q);
1545         if (((MagickRealType) *s <=
1546              (v-(MagickRealType) ScaleCharToQuantum(2))) &&
1547             ((MagickRealType) *r < v))
1548           v-=(MagickRealType) ScaleCharToQuantum(1);
1549         *p=(Quantum) v;
1550         p++;
1551         q++;
1552         r++;
1553         s++;
1554       }
1555     p++;
1556     q++;
1557     r++;
1558     s++;
1559   }
1560 }
1561
1562 MagickExport Image *DespeckleImage(const Image *image,ExceptionInfo *exception)
1563 {
1564 #define DespeckleImageTag  "Despeckle/Image"
1565
1566   CacheView
1567     *despeckle_view,
1568     *image_view;
1569
1570   Image
1571     *despeckle_image;
1572
1573   MagickBooleanType
1574     status;
1575
1576   Quantum
1577     *restrict buffers,
1578     *restrict pixels;
1579
1580   register ssize_t
1581     i;
1582
1583   size_t
1584     length;
1585
1586   static const ssize_t
1587     X[4] = {0, 1, 1,-1},
1588     Y[4] = {1, 0, 1, 1};
1589
1590   /*
1591     Allocate despeckled image.
1592   */
1593   assert(image != (const Image *) NULL);
1594   assert(image->signature == MagickSignature);
1595   if (image->debug != MagickFalse)
1596     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1597   assert(exception != (ExceptionInfo *) NULL);
1598   assert(exception->signature == MagickSignature);
1599   despeckle_image=CloneImage(image,0,0,MagickTrue,exception);
1600   if (despeckle_image == (Image *) NULL)
1601     return((Image *) NULL);
1602   status=SetImageStorageClass(despeckle_image,DirectClass,exception);
1603   if (status == MagickFalse)
1604     {
1605       despeckle_image=DestroyImage(despeckle_image);
1606       return((Image *) NULL);
1607     }
1608   /*
1609     Allocate image buffers.
1610   */
1611   length=(size_t) ((image->columns+2)*(image->rows+2));
1612   pixels=(Quantum *) AcquireQuantumMemory(length,2*sizeof(*pixels));
1613   buffers=(Quantum *) AcquireQuantumMemory(length,2*sizeof(*pixels));
1614   if ((pixels == (Quantum *) NULL) || (buffers == (Quantum *) NULL))
1615     {
1616       if (buffers != (Quantum *) NULL)
1617         buffers=(Quantum *) RelinquishMagickMemory(buffers);
1618       if (pixels != (Quantum *) NULL)
1619         pixels=(Quantum *) RelinquishMagickMemory(pixels);
1620       despeckle_image=DestroyImage(despeckle_image);
1621       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1622     }
1623   /*
1624     Reduce speckle in the image.
1625   */
1626   status=MagickTrue;
1627   image_view=AcquireCacheView(image);
1628   despeckle_view=AcquireCacheView(despeckle_image);
1629   for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
1630   {
1631     PixelChannel
1632        channel;
1633
1634     PixelTrait
1635       despeckle_traits,
1636       traits;
1637
1638     register Quantum
1639       *buffer,
1640       *pixel;
1641
1642     register ssize_t
1643       k,
1644       x;
1645
1646     ssize_t
1647       j,
1648       y;
1649
1650     if (status == MagickFalse)
1651       continue;
1652     traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
1653     channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
1654     despeckle_traits=GetPixelChannelMapTraits(despeckle_image,channel);
1655     if ((traits == UndefinedPixelTrait) ||
1656         (despeckle_traits == UndefinedPixelTrait))
1657       continue;
1658     if ((despeckle_traits & CopyPixelTrait) != 0)
1659       continue;
1660     pixel=pixels;
1661     (void) ResetMagickMemory(pixel,0,length*sizeof(*pixel));
1662     buffer=buffers;
1663     j=(ssize_t) image->columns+2;
1664     for (y=0; y < (ssize_t) image->rows; y++)
1665     {
1666       register const Quantum
1667         *restrict p;
1668
1669       p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
1670       if (p == (const Quantum *) NULL)
1671         {
1672           status=MagickFalse;
1673           continue;
1674         }
1675       j++;
1676       for (x=0; x < (ssize_t) image->columns; x++)
1677       {
1678         pixel[j++]=p[i];
1679         p+=GetPixelChannels(image);
1680       }
1681       j++;
1682     }
1683     (void) ResetMagickMemory(buffer,0,length*sizeof(*buffer));
1684     for (k=0; k < 4; k++)
1685     {
1686       Hull(X[k],Y[k],image->columns,image->rows,pixel,buffer,1);
1687       Hull(-X[k],-Y[k],image->columns,image->rows,pixel,buffer,1);
1688       Hull(-X[k],-Y[k],image->columns,image->rows,pixel,buffer,-1);
1689       Hull(X[k],Y[k],image->columns,image->rows,pixel,buffer,-1);
1690     }
1691     j=(ssize_t) image->columns+2;
1692     for (y=0; y < (ssize_t) image->rows; y++)
1693     {
1694       MagickBooleanType
1695         sync;
1696
1697       register Quantum
1698         *restrict q;
1699
1700       q=GetCacheViewAuthenticPixels(despeckle_view,0,y,despeckle_image->columns,
1701         1,exception);
1702       if (q == (Quantum *) NULL)
1703         {
1704           status=MagickFalse;
1705           continue;
1706         }
1707       j++;
1708       for (x=0; x < (ssize_t) image->columns; x++)
1709       {
1710         q[channel]=pixel[j++];
1711         q+=GetPixelChannels(despeckle_image);
1712       }
1713       sync=SyncCacheViewAuthenticPixels(despeckle_view,exception);
1714       if (sync == MagickFalse)
1715         status=MagickFalse;
1716       j++;
1717     }
1718     if (image->progress_monitor != (MagickProgressMonitor) NULL)
1719       {
1720         MagickBooleanType
1721           proceed;
1722
1723         proceed=SetImageProgress(image,DespeckleImageTag,(MagickOffsetType) i,
1724           GetPixelChannels(image));
1725         if (proceed == MagickFalse)
1726           status=MagickFalse;
1727       }
1728   }
1729   despeckle_view=DestroyCacheView(despeckle_view);
1730   image_view=DestroyCacheView(image_view);
1731   buffers=(Quantum *) RelinquishMagickMemory(buffers);
1732   pixels=(Quantum *) RelinquishMagickMemory(pixels);
1733   despeckle_image->type=image->type;
1734   if (status == MagickFalse)
1735     despeckle_image=DestroyImage(despeckle_image);
1736   return(despeckle_image);
1737 }
1738 \f
1739 /*
1740 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1741 %                                                                             %
1742 %                                                                             %
1743 %                                                                             %
1744 %     E d g e I m a g e                                                       %
1745 %                                                                             %
1746 %                                                                             %
1747 %                                                                             %
1748 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1749 %
1750 %  EdgeImage() finds edges in an image.  Radius defines the radius of the
1751 %  convolution filter.  Use a radius of 0 and EdgeImage() selects a suitable
1752 %  radius for you.
1753 %
1754 %  The format of the EdgeImage method is:
1755 %
1756 %      Image *EdgeImage(const Image *image,const double radius,
1757 %        const double sigma,ExceptionInfo *exception)
1758 %
1759 %  A description of each parameter follows:
1760 %
1761 %    o image: the image.
1762 %
1763 %    o radius: the radius of the pixel neighborhood.
1764 %
1765 %    o sigma: the standard deviation of the Gaussian, in pixels.
1766 %
1767 %    o exception: return any errors or warnings in this structure.
1768 %
1769 */
1770 MagickExport Image *EdgeImage(const Image *image,const double radius,
1771   const double sigma,ExceptionInfo *exception)
1772 {
1773   Image
1774     *edge_image;
1775
1776   KernelInfo
1777     *kernel_info;
1778
1779   register ssize_t
1780     i;
1781
1782   size_t
1783     width;
1784
1785   ssize_t
1786     j,
1787     u,
1788     v;
1789
1790   assert(image != (const Image *) NULL);
1791   assert(image->signature == MagickSignature);
1792   if (image->debug != MagickFalse)
1793     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1794   assert(exception != (ExceptionInfo *) NULL);
1795   assert(exception->signature == MagickSignature);
1796   width=GetOptimalKernelWidth2D(radius,sigma);
1797   kernel_info=AcquireKernelInfo((const char *) NULL);
1798   if (kernel_info == (KernelInfo *) NULL)
1799     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1800   kernel_info->width=width;
1801   kernel_info->height=width;
1802   kernel_info->values=(double *) AcquireAlignedMemory(kernel_info->width,
1803     kernel_info->width*sizeof(*kernel_info->values));
1804   if (kernel_info->values == (double *) NULL)
1805     {
1806       kernel_info=DestroyKernelInfo(kernel_info);
1807       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1808     }
1809   j=(ssize_t) kernel_info->width/2;
1810   i=0;
1811   for (v=(-j); v <= j; v++)
1812   {
1813     for (u=(-j); u <= j; u++)
1814     {
1815       kernel_info->values[i]=(-1.0);
1816       i++;
1817     }
1818   }
1819   kernel_info->values[i/2]=(double) (width*width-1.0);
1820   kernel_info->bias=image->bias;
1821   edge_image=ConvolveImage(image,kernel_info,exception);
1822   kernel_info=DestroyKernelInfo(kernel_info);
1823   return(edge_image);
1824 }
1825 \f
1826 /*
1827 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1828 %                                                                             %
1829 %                                                                             %
1830 %                                                                             %
1831 %     E m b o s s I m a g e                                                   %
1832 %                                                                             %
1833 %                                                                             %
1834 %                                                                             %
1835 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1836 %
1837 %  EmbossImage() returns a grayscale image with a three-dimensional effect.
1838 %  We convolve the image with a Gaussian operator of the given radius and
1839 %  standard deviation (sigma).  For reasonable results, radius should be
1840 %  larger than sigma.  Use a radius of 0 and Emboss() selects a suitable
1841 %  radius for you.
1842 %
1843 %  The format of the EmbossImage method is:
1844 %
1845 %      Image *EmbossImage(const Image *image,const double radius,
1846 %        const double sigma,ExceptionInfo *exception)
1847 %
1848 %  A description of each parameter follows:
1849 %
1850 %    o image: the image.
1851 %
1852 %    o radius: the radius of the pixel neighborhood.
1853 %
1854 %    o sigma: the standard deviation of the Gaussian, in pixels.
1855 %
1856 %    o exception: return any errors or warnings in this structure.
1857 %
1858 */
1859 MagickExport Image *EmbossImage(const Image *image,const double radius,
1860   const double sigma,ExceptionInfo *exception)
1861 {
1862   Image
1863     *emboss_image;
1864
1865   KernelInfo
1866     *kernel_info;
1867
1868   register ssize_t
1869     i;
1870
1871   size_t
1872     width;
1873
1874   ssize_t
1875     j,
1876     k,
1877     u,
1878     v;
1879
1880   assert(image != (const Image *) NULL);
1881   assert(image->signature == MagickSignature);
1882   if (image->debug != MagickFalse)
1883     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1884   assert(exception != (ExceptionInfo *) NULL);
1885   assert(exception->signature == MagickSignature);
1886   width=GetOptimalKernelWidth2D(radius,sigma);
1887   kernel_info=AcquireKernelInfo((const char *) NULL);
1888   if (kernel_info == (KernelInfo *) NULL)
1889     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1890   kernel_info->width=width;
1891   kernel_info->height=width;
1892   kernel_info->values=(double *) AcquireAlignedMemory(kernel_info->width,
1893     kernel_info->width*sizeof(*kernel_info->values));
1894   if (kernel_info->values == (double *) NULL)
1895     {
1896       kernel_info=DestroyKernelInfo(kernel_info);
1897       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1898     }
1899   j=(ssize_t) kernel_info->width/2;
1900   k=j;
1901   i=0;
1902   for (v=(-j); v <= j; v++)
1903   {
1904     for (u=(-j); u <= j; u++)
1905     {
1906       kernel_info->values[i]=(double) (((u < 0) || (v < 0) ? -8.0 : 8.0)*
1907         exp(-((double) u*u+v*v)/(2.0*MagickSigma*MagickSigma))/
1908         (2.0*MagickPI*MagickSigma*MagickSigma));
1909       if (u != k)
1910         kernel_info->values[i]=0.0;
1911       i++;
1912     }
1913     k--;
1914   }
1915   kernel_info->bias=image->bias;
1916   emboss_image=ConvolveImage(image,kernel_info,exception);
1917   kernel_info=DestroyKernelInfo(kernel_info);
1918   if (emboss_image != (Image *) NULL)
1919     (void) EqualizeImage(emboss_image,exception);
1920   return(emboss_image);
1921 }
1922 \f
1923 /*
1924 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1925 %                                                                             %
1926 %                                                                             %
1927 %                                                                             %
1928 %     G a u s s i a n B l u r I m a g e                                       %
1929 %                                                                             %
1930 %                                                                             %
1931 %                                                                             %
1932 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1933 %
1934 %  GaussianBlurImage() blurs an image.  We convolve the image with a
1935 %  Gaussian operator of the given radius and standard deviation (sigma).
1936 %  For reasonable results, the radius should be larger than sigma.  Use a
1937 %  radius of 0 and GaussianBlurImage() selects a suitable radius for you
1938 %
1939 %  The format of the GaussianBlurImage method is:
1940 %
1941 %      Image *GaussianBlurImage(const Image *image,onst double radius,
1942 %        const double sigma,const double bias,ExceptionInfo *exception)
1943 %
1944 %  A description of each parameter follows:
1945 %
1946 %    o image: the image.
1947 %
1948 %    o radius: the radius of the Gaussian, in pixels, not counting the center
1949 %      pixel.
1950 %
1951 %    o sigma: the standard deviation of the Gaussian, in pixels.
1952 %
1953 %    o bias: the bias.
1954 %
1955 %    o exception: return any errors or warnings in this structure.
1956 %
1957 */
1958 MagickExport Image *GaussianBlurImage(const Image *image,const double radius,
1959   const double sigma,const double bias,ExceptionInfo *exception)
1960 {
1961   Image
1962     *blur_image;
1963
1964   KernelInfo
1965     *kernel_info;
1966
1967   register ssize_t
1968     i;
1969
1970   size_t
1971     width;
1972
1973   ssize_t
1974     j,
1975     u,
1976     v;
1977
1978   assert(image != (const Image *) NULL);
1979   assert(image->signature == MagickSignature);
1980   if (image->debug != MagickFalse)
1981     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1982   assert(exception != (ExceptionInfo *) NULL);
1983   assert(exception->signature == MagickSignature);
1984   width=GetOptimalKernelWidth2D(radius,sigma);
1985   kernel_info=AcquireKernelInfo((const char *) NULL);
1986   if (kernel_info == (KernelInfo *) NULL)
1987     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1988   (void) ResetMagickMemory(kernel_info,0,sizeof(*kernel_info));
1989   kernel_info->width=width;
1990   kernel_info->height=width;
1991   kernel_info->bias=bias;
1992   kernel_info->signature=MagickSignature;
1993   kernel_info->values=(double *) AcquireAlignedMemory(kernel_info->width,
1994     kernel_info->width*sizeof(*kernel_info->values));
1995   if (kernel_info->values == (double *) NULL)
1996     {
1997       kernel_info=DestroyKernelInfo(kernel_info);
1998       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1999     }
2000   j=(ssize_t) kernel_info->width/2;
2001   i=0;
2002   for (v=(-j); v <= j; v++)
2003   {
2004     for (u=(-j); u <= j; u++)
2005     {
2006       kernel_info->values[i]=(double) (exp(-((double) u*u+v*v)/(2.0*
2007         MagickSigma*MagickSigma))/(2.0*MagickPI*MagickSigma*MagickSigma));
2008       i++;
2009     }
2010   }
2011   blur_image=ConvolveImage(image,kernel_info,exception);
2012   kernel_info=DestroyKernelInfo(kernel_info);
2013   return(blur_image);
2014 }
2015 \f
2016 /*
2017 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2018 %                                                                             %
2019 %                                                                             %
2020 %                                                                             %
2021 %     M o t i o n B l u r I m a g e                                           %
2022 %                                                                             %
2023 %                                                                             %
2024 %                                                                             %
2025 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2026 %
2027 %  MotionBlurImage() simulates motion blur.  We convolve the image with a
2028 %  Gaussian operator of the given radius and standard deviation (sigma).
2029 %  For reasonable results, radius should be larger than sigma.  Use a
2030 %  radius of 0 and MotionBlurImage() selects a suitable radius for you.
2031 %  Angle gives the angle of the blurring motion.
2032 %
2033 %  Andrew Protano contributed this effect.
2034 %
2035 %  The format of the MotionBlurImage method is:
2036 %
2037 %    Image *MotionBlurImage(const Image *image,const double radius,
2038 %      const double sigma,const double angle,const double bias,
2039 %      ExceptionInfo *exception)
2040 %
2041 %  A description of each parameter follows:
2042 %
2043 %    o image: the image.
2044 %
2045 %    o radius: the radius of the Gaussian, in pixels, not counting
2046 %      the center pixel.
2047 %
2048 %    o sigma: the standard deviation of the Gaussian, in pixels.
2049 %
2050 %    o angle: Apply the effect along this angle.
2051 %
2052 %    o bias: the bias.
2053 %
2054 %    o exception: return any errors or warnings in this structure.
2055 %
2056 */
2057
2058 static double *GetMotionBlurKernel(const size_t width,const double sigma)
2059 {
2060   double
2061     *kernel,
2062     normalize;
2063
2064   register ssize_t
2065     i;
2066
2067   /*
2068    Generate a 1-D convolution kernel.
2069   */
2070   (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
2071   kernel=(double *) AcquireQuantumMemory((size_t) width,sizeof(*kernel));
2072   if (kernel == (double *) NULL)
2073     return(kernel);
2074   normalize=0.0;
2075   for (i=0; i < (ssize_t) width; i++)
2076   {
2077     kernel[i]=(double) (exp((-((double) i*i)/(double) (2.0*MagickSigma*
2078       MagickSigma)))/(MagickSQ2PI*MagickSigma));
2079     normalize+=kernel[i];
2080   }
2081   for (i=0; i < (ssize_t) width; i++)
2082     kernel[i]/=normalize;
2083   return(kernel);
2084 }
2085
2086 MagickExport Image *MotionBlurImage(const Image *image,const double radius,
2087   const double sigma,const double angle,const double bias,
2088   ExceptionInfo *exception)
2089 {
2090   CacheView
2091     *blur_view,
2092     *image_view;
2093
2094   double
2095     *kernel;
2096
2097   Image
2098     *blur_image;
2099
2100   MagickBooleanType
2101     status;
2102
2103   MagickOffsetType
2104     progress;
2105
2106   OffsetInfo
2107     *offset;
2108
2109   PointInfo
2110     point;
2111
2112   register ssize_t
2113     i;
2114
2115   size_t
2116     width;
2117
2118   ssize_t
2119     y;
2120
2121   assert(image != (Image *) NULL);
2122   assert(image->signature == MagickSignature);
2123   if (image->debug != MagickFalse)
2124     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
2125   assert(exception != (ExceptionInfo *) NULL);
2126   width=GetOptimalKernelWidth1D(radius,sigma);
2127   kernel=GetMotionBlurKernel(width,sigma);
2128   if (kernel == (double *) NULL)
2129     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
2130   offset=(OffsetInfo *) AcquireQuantumMemory(width,sizeof(*offset));
2131   if (offset == (OffsetInfo *) NULL)
2132     {
2133       kernel=(double *) RelinquishMagickMemory(kernel);
2134       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
2135     }
2136   blur_image=CloneImage(image,image->columns,image->rows,MagickTrue,exception);
2137   if (blur_image == (Image *) NULL)
2138     {
2139       kernel=(double *) RelinquishMagickMemory(kernel);
2140       offset=(OffsetInfo *) RelinquishMagickMemory(offset);
2141       return((Image *) NULL);
2142     }
2143   if (SetImageStorageClass(blur_image,DirectClass,exception) == MagickFalse)
2144     {
2145       kernel=(double *) RelinquishMagickMemory(kernel);
2146       offset=(OffsetInfo *) RelinquishMagickMemory(offset);
2147       blur_image=DestroyImage(blur_image);
2148       return((Image *) NULL);
2149     }
2150   point.x=(double) width*sin(DegreesToRadians(angle));
2151   point.y=(double) width*cos(DegreesToRadians(angle));
2152   for (i=0; i < (ssize_t) width; i++)
2153   {
2154     offset[i].x=(ssize_t) ceil((double) (i*point.y)/hypot(point.x,point.y)-0.5);
2155     offset[i].y=(ssize_t) ceil((double) (i*point.x)/hypot(point.x,point.y)-0.5);
2156   }
2157   /*
2158     Motion blur image.
2159   */
2160   status=MagickTrue;
2161   progress=0;
2162   image_view=AcquireCacheView(image);
2163   blur_view=AcquireCacheView(blur_image);
2164 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2165   #pragma omp parallel for schedule(dynamic,4) shared(progress,status) omp_throttle(1)
2166 #endif
2167   for (y=0; y < (ssize_t) image->rows; y++)
2168   {
2169     register const Quantum
2170       *restrict p;
2171
2172     register Quantum
2173       *restrict q;
2174
2175     register ssize_t
2176       x;
2177
2178     if (status == MagickFalse)
2179       continue;
2180     p=GetCacheViewVirtualPixels(blur_view,0,y,image->columns,1,exception);
2181     q=GetCacheViewAuthenticPixels(blur_view,0,y,blur_image->columns,1,
2182       exception);
2183     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
2184       {
2185         status=MagickFalse;
2186         continue;
2187       }
2188     for (x=0; x < (ssize_t) image->columns; x++)
2189     {
2190       register ssize_t
2191         i;
2192
2193       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
2194       {
2195         MagickRealType
2196           alpha,
2197           gamma,
2198           pixel;
2199
2200         PixelChannel
2201           channel;
2202
2203         PixelTrait
2204           blur_traits,
2205           traits;
2206
2207         register const Quantum
2208           *restrict r;
2209
2210         register double
2211           *restrict k;
2212
2213         register ssize_t
2214           j;
2215
2216         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
2217         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
2218         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
2219         if ((traits == UndefinedPixelTrait) ||
2220             (blur_traits == UndefinedPixelTrait))
2221           continue;
2222         if ((blur_traits & CopyPixelTrait) != 0)
2223           {
2224             q[channel]=p[i];
2225             continue;
2226           }
2227         k=kernel;
2228         pixel=bias;
2229         if ((blur_traits & BlendPixelTrait) == 0)
2230           {
2231             for (j=0; j < (ssize_t) width; j++)
2232             {
2233               r=GetCacheViewVirtualPixels(image_view,x+offset[j].x,y+
2234                 offset[j].y,1,1,exception);
2235               if (r == (const Quantum *) NULL)
2236                 {
2237                   status=MagickFalse;
2238                   continue;
2239                 }
2240               pixel+=(*k)*r[i];
2241               k++;
2242             }
2243             q[channel]=ClampToQuantum(pixel);
2244             continue;
2245           }
2246         alpha=0.0;
2247         gamma=0.0;
2248         for (j=0; j < (ssize_t) width; j++)
2249         {
2250           r=GetCacheViewVirtualPixels(image_view,x+offset[j].x,y+offset[j].y,1,
2251             1,exception);
2252           if (r == (const Quantum *) NULL)
2253             {
2254               status=MagickFalse;
2255               continue;
2256             }
2257           alpha=(MagickRealType) (QuantumScale*GetPixelAlpha(image,r));
2258           pixel+=(*k)*alpha*r[i];
2259           gamma+=(*k)*alpha;
2260           k++;
2261         }
2262         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
2263         q[channel]=ClampToQuantum(gamma*pixel);
2264       }
2265       p+=GetPixelChannels(image);
2266       q+=GetPixelChannels(blur_image);
2267     }
2268     if (SyncCacheViewAuthenticPixels(blur_view,exception) == MagickFalse)
2269       status=MagickFalse;
2270     if (image->progress_monitor != (MagickProgressMonitor) NULL)
2271       {
2272         MagickBooleanType
2273           proceed;
2274
2275 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2276   #pragma omp critical (MagickCore_MotionBlurImage)
2277 #endif
2278         proceed=SetImageProgress(image,BlurImageTag,progress++,image->rows);
2279         if (proceed == MagickFalse)
2280           status=MagickFalse;
2281       }
2282   }
2283   blur_view=DestroyCacheView(blur_view);
2284   image_view=DestroyCacheView(image_view);
2285   kernel=(double *) RelinquishMagickMemory(kernel);
2286   offset=(OffsetInfo *) RelinquishMagickMemory(offset);
2287   if (status == MagickFalse)
2288     blur_image=DestroyImage(blur_image);
2289   return(blur_image);
2290 }
2291 \f
2292 /*
2293 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2294 %                                                                             %
2295 %                                                                             %
2296 %                                                                             %
2297 %     P r e v i e w I m a g e                                                 %
2298 %                                                                             %
2299 %                                                                             %
2300 %                                                                             %
2301 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2302 %
2303 %  PreviewImage() tiles 9 thumbnails of the specified image with an image
2304 %  processing operation applied with varying parameters.  This may be helpful
2305 %  pin-pointing an appropriate parameter for a particular image processing
2306 %  operation.
2307 %
2308 %  The format of the PreviewImages method is:
2309 %
2310 %      Image *PreviewImages(const Image *image,const PreviewType preview,
2311 %        ExceptionInfo *exception)
2312 %
2313 %  A description of each parameter follows:
2314 %
2315 %    o image: the image.
2316 %
2317 %    o preview: the image processing operation.
2318 %
2319 %    o exception: return any errors or warnings in this structure.
2320 %
2321 */
2322 MagickExport Image *PreviewImage(const Image *image,const PreviewType preview,
2323   ExceptionInfo *exception)
2324 {
2325 #define NumberTiles  9
2326 #define PreviewImageTag  "Preview/Image"
2327 #define DefaultPreviewGeometry  "204x204+10+10"
2328
2329   char
2330     factor[MaxTextExtent],
2331     label[MaxTextExtent];
2332
2333   double
2334     degrees,
2335     gamma,
2336     percentage,
2337     radius,
2338     sigma,
2339     threshold;
2340
2341   Image
2342     *images,
2343     *montage_image,
2344     *preview_image,
2345     *thumbnail;
2346
2347   ImageInfo
2348     *preview_info;
2349
2350   MagickBooleanType
2351     proceed;
2352
2353   MontageInfo
2354     *montage_info;
2355
2356   QuantizeInfo
2357     quantize_info;
2358
2359   RectangleInfo
2360     geometry;
2361
2362   register ssize_t
2363     i,
2364     x;
2365
2366   size_t
2367     colors;
2368
2369   ssize_t
2370     y;
2371
2372   /*
2373     Open output image file.
2374   */
2375   assert(image != (Image *) NULL);
2376   assert(image->signature == MagickSignature);
2377   if (image->debug != MagickFalse)
2378     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
2379   colors=2;
2380   degrees=0.0;
2381   gamma=(-0.2f);
2382   preview_info=AcquireImageInfo();
2383   SetGeometry(image,&geometry);
2384   (void) ParseMetaGeometry(DefaultPreviewGeometry,&geometry.x,&geometry.y,
2385     &geometry.width,&geometry.height);
2386   images=NewImageList();
2387   percentage=12.5;
2388   GetQuantizeInfo(&quantize_info);
2389   radius=0.0;
2390   sigma=1.0;
2391   threshold=0.0;
2392   x=0;
2393   y=0;
2394   for (i=0; i < NumberTiles; i++)
2395   {
2396     thumbnail=ThumbnailImage(image,geometry.width,geometry.height,exception);
2397     if (thumbnail == (Image *) NULL)
2398       break;
2399     (void) SetImageProgressMonitor(thumbnail,(MagickProgressMonitor) NULL,
2400       (void *) NULL);
2401     (void) SetImageProperty(thumbnail,"label",DefaultTileLabel);
2402     if (i == (NumberTiles/2))
2403       {
2404         (void) QueryColorDatabase("#dfdfdf",&thumbnail->matte_color,exception);
2405         AppendImageToList(&images,thumbnail);
2406         continue;
2407       }
2408     switch (preview)
2409     {
2410       case RotatePreview:
2411       {
2412         degrees+=45.0;
2413         preview_image=RotateImage(thumbnail,degrees,exception);
2414         (void) FormatLocaleString(label,MaxTextExtent,"rotate %g",degrees);
2415         break;
2416       }
2417       case ShearPreview:
2418       {
2419         degrees+=5.0;
2420         preview_image=ShearImage(thumbnail,degrees,degrees,exception);
2421         (void) FormatLocaleString(label,MaxTextExtent,"shear %gx%g",
2422           degrees,2.0*degrees);
2423         break;
2424       }
2425       case RollPreview:
2426       {
2427         x=(ssize_t) ((i+1)*thumbnail->columns)/NumberTiles;
2428         y=(ssize_t) ((i+1)*thumbnail->rows)/NumberTiles;
2429         preview_image=RollImage(thumbnail,x,y,exception);
2430         (void) FormatLocaleString(label,MaxTextExtent,"roll %+.20gx%+.20g",
2431           (double) x,(double) y);
2432         break;
2433       }
2434       case HuePreview:
2435       {
2436         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2437         if (preview_image == (Image *) NULL)
2438           break;
2439         (void) FormatLocaleString(factor,MaxTextExtent,"100,100,%g",
2440           2.0*percentage);
2441         (void) ModulateImage(preview_image,factor,exception);
2442         (void) FormatLocaleString(label,MaxTextExtent,"modulate %s",factor);
2443         break;
2444       }
2445       case SaturationPreview:
2446       {
2447         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2448         if (preview_image == (Image *) NULL)
2449           break;
2450         (void) FormatLocaleString(factor,MaxTextExtent,"100,%g",
2451           2.0*percentage);
2452         (void) ModulateImage(preview_image,factor,exception);
2453         (void) FormatLocaleString(label,MaxTextExtent,"modulate %s",factor);
2454         break;
2455       }
2456       case BrightnessPreview:
2457       {
2458         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2459         if (preview_image == (Image *) NULL)
2460           break;
2461         (void) FormatLocaleString(factor,MaxTextExtent,"%g",2.0*percentage);
2462         (void) ModulateImage(preview_image,factor,exception);
2463         (void) FormatLocaleString(label,MaxTextExtent,"modulate %s",factor);
2464         break;
2465       }
2466       case GammaPreview:
2467       default:
2468       {
2469         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2470         if (preview_image == (Image *) NULL)
2471           break;
2472         gamma+=0.4f;
2473         (void) GammaImage(preview_image,gamma,exception);
2474         (void) FormatLocaleString(label,MaxTextExtent,"gamma %g",gamma);
2475         break;
2476       }
2477       case SpiffPreview:
2478       {
2479         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2480         if (preview_image != (Image *) NULL)
2481           for (x=0; x < i; x++)
2482             (void) ContrastImage(preview_image,MagickTrue,exception);
2483         (void) FormatLocaleString(label,MaxTextExtent,"contrast (%.20g)",
2484           (double) i+1);
2485         break;
2486       }
2487       case DullPreview:
2488       {
2489         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2490         if (preview_image == (Image *) NULL)
2491           break;
2492         for (x=0; x < i; x++)
2493           (void) ContrastImage(preview_image,MagickFalse,exception);
2494         (void) FormatLocaleString(label,MaxTextExtent,"+contrast (%.20g)",
2495           (double) i+1);
2496         break;
2497       }
2498       case GrayscalePreview:
2499       {
2500         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2501         if (preview_image == (Image *) NULL)
2502           break;
2503         colors<<=1;
2504         quantize_info.number_colors=colors;
2505         quantize_info.colorspace=GRAYColorspace;
2506         (void) QuantizeImage(&quantize_info,preview_image,exception);
2507         (void) FormatLocaleString(label,MaxTextExtent,
2508           "-colorspace gray -colors %.20g",(double) colors);
2509         break;
2510       }
2511       case QuantizePreview:
2512       {
2513         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2514         if (preview_image == (Image *) NULL)
2515           break;
2516         colors<<=1;
2517         quantize_info.number_colors=colors;
2518         (void) QuantizeImage(&quantize_info,preview_image,exception);
2519         (void) FormatLocaleString(label,MaxTextExtent,"colors %.20g",(double)
2520           colors);
2521         break;
2522       }
2523       case DespecklePreview:
2524       {
2525         for (x=0; x < (i-1); x++)
2526         {
2527           preview_image=DespeckleImage(thumbnail,exception);
2528           if (preview_image == (Image *) NULL)
2529             break;
2530           thumbnail=DestroyImage(thumbnail);
2531           thumbnail=preview_image;
2532         }
2533         preview_image=DespeckleImage(thumbnail,exception);
2534         if (preview_image == (Image *) NULL)
2535           break;
2536         (void) FormatLocaleString(label,MaxTextExtent,"despeckle (%.20g)",
2537           (double) i+1);
2538         break;
2539       }
2540       case ReduceNoisePreview:
2541       {
2542         preview_image=StatisticImage(thumbnail,NonpeakStatistic,(size_t) radius,
2543           (size_t) radius,exception);
2544         (void) FormatLocaleString(label,MaxTextExtent,"noise %g",radius);
2545         break;
2546       }
2547       case AddNoisePreview:
2548       {
2549         switch ((int) i)
2550         {
2551           case 0:
2552           {
2553             (void) CopyMagickString(factor,"uniform",MaxTextExtent);
2554             break;
2555           }
2556           case 1:
2557           {
2558             (void) CopyMagickString(factor,"gaussian",MaxTextExtent);
2559             break;
2560           }
2561           case 2:
2562           {
2563             (void) CopyMagickString(factor,"multiplicative",MaxTextExtent);
2564             break;
2565           }
2566           case 3:
2567           {
2568             (void) CopyMagickString(factor,"impulse",MaxTextExtent);
2569             break;
2570           }
2571           case 4:
2572           {
2573             (void) CopyMagickString(factor,"laplacian",MaxTextExtent);
2574             break;
2575           }
2576           case 5:
2577           {
2578             (void) CopyMagickString(factor,"Poisson",MaxTextExtent);
2579             break;
2580           }
2581           default:
2582           {
2583             (void) CopyMagickString(thumbnail->magick,"NULL",MaxTextExtent);
2584             break;
2585           }
2586         }
2587         preview_image=StatisticImage(thumbnail,NonpeakStatistic,(size_t) i,
2588           (size_t) i,exception);
2589         (void) FormatLocaleString(label,MaxTextExtent,"+noise %s",factor);
2590         break;
2591       }
2592       case SharpenPreview:
2593       {
2594         preview_image=SharpenImage(thumbnail,radius,sigma,image->bias,
2595           exception);
2596         (void) FormatLocaleString(label,MaxTextExtent,"sharpen %gx%g",
2597           radius,sigma);
2598         break;
2599       }
2600       case BlurPreview:
2601       {
2602         preview_image=BlurImage(thumbnail,radius,sigma,image->bias,exception);
2603         (void) FormatLocaleString(label,MaxTextExtent,"blur %gx%g",radius,
2604           sigma);
2605         break;
2606       }
2607       case ThresholdPreview:
2608       {
2609         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2610         if (preview_image == (Image *) NULL)
2611           break;
2612         (void) BilevelImage(thumbnail,
2613           (double) (percentage*((MagickRealType) QuantumRange+1.0))/100.0);
2614         (void) FormatLocaleString(label,MaxTextExtent,"threshold %g",
2615           (double) (percentage*((MagickRealType) QuantumRange+1.0))/100.0);
2616         break;
2617       }
2618       case EdgeDetectPreview:
2619       {
2620         preview_image=EdgeImage(thumbnail,radius,sigma,exception);
2621         (void) FormatLocaleString(label,MaxTextExtent,"edge %g",radius);
2622         break;
2623       }
2624       case SpreadPreview:
2625       {
2626         preview_image=SpreadImage(thumbnail,radius,exception);
2627         (void) FormatLocaleString(label,MaxTextExtent,"spread %g",
2628           radius+0.5);
2629         break;
2630       }
2631       case SolarizePreview:
2632       {
2633         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2634         if (preview_image == (Image *) NULL)
2635           break;
2636         (void) SolarizeImage(preview_image,(double) QuantumRange*
2637           percentage/100.0,exception);
2638         (void) FormatLocaleString(label,MaxTextExtent,"solarize %g",
2639           (QuantumRange*percentage)/100.0);
2640         break;
2641       }
2642       case ShadePreview:
2643       {
2644         degrees+=10.0;
2645         preview_image=ShadeImage(thumbnail,MagickTrue,degrees,degrees,
2646           exception);
2647         (void) FormatLocaleString(label,MaxTextExtent,"shade %gx%g",
2648           degrees,degrees);
2649         break;
2650       }
2651       case RaisePreview:
2652       {
2653         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2654         if (preview_image == (Image *) NULL)
2655           break;
2656         geometry.width=(size_t) (2*i+2);
2657         geometry.height=(size_t) (2*i+2);
2658         geometry.x=i/2;
2659         geometry.y=i/2;
2660         (void) RaiseImage(preview_image,&geometry,MagickTrue,exception);
2661         (void) FormatLocaleString(label,MaxTextExtent,
2662           "raise %.20gx%.20g%+.20g%+.20g",(double) geometry.width,(double)
2663           geometry.height,(double) geometry.x,(double) geometry.y);
2664         break;
2665       }
2666       case SegmentPreview:
2667       {
2668         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2669         if (preview_image == (Image *) NULL)
2670           break;
2671         threshold+=0.4f;
2672         (void) SegmentImage(preview_image,RGBColorspace,MagickFalse,threshold,
2673           threshold,exception);
2674         (void) FormatLocaleString(label,MaxTextExtent,"segment %gx%g",
2675           threshold,threshold);
2676         break;
2677       }
2678       case SwirlPreview:
2679       {
2680         preview_image=SwirlImage(thumbnail,degrees,exception);
2681         (void) FormatLocaleString(label,MaxTextExtent,"swirl %g",degrees);
2682         degrees+=45.0;
2683         break;
2684       }
2685       case ImplodePreview:
2686       {
2687         degrees+=0.1f;
2688         preview_image=ImplodeImage(thumbnail,degrees,exception);
2689         (void) FormatLocaleString(label,MaxTextExtent,"implode %g",degrees);
2690         break;
2691       }
2692       case WavePreview:
2693       {
2694         degrees+=5.0f;
2695         preview_image=WaveImage(thumbnail,0.5*degrees,2.0*degrees,exception);
2696         (void) FormatLocaleString(label,MaxTextExtent,"wave %gx%g",
2697           0.5*degrees,2.0*degrees);
2698         break;
2699       }
2700       case OilPaintPreview:
2701       {
2702         preview_image=OilPaintImage(thumbnail,(double) radius,(double) sigma,
2703           exception);
2704         (void) FormatLocaleString(label,MaxTextExtent,"charcoal %gx%g",
2705           radius,sigma);
2706         break;
2707       }
2708       case CharcoalDrawingPreview:
2709       {
2710         preview_image=CharcoalImage(thumbnail,(double) radius,(double) sigma,
2711           image->bias,exception);
2712         (void) FormatLocaleString(label,MaxTextExtent,"charcoal %gx%g",
2713           radius,sigma);
2714         break;
2715       }
2716       case JPEGPreview:
2717       {
2718         char
2719           filename[MaxTextExtent];
2720
2721         int
2722           file;
2723
2724         MagickBooleanType
2725           status;
2726
2727         preview_image=CloneImage(thumbnail,0,0,MagickTrue,exception);
2728         if (preview_image == (Image *) NULL)
2729           break;
2730         preview_info->quality=(size_t) percentage;
2731         (void) FormatLocaleString(factor,MaxTextExtent,"%.20g",(double)
2732           preview_info->quality);
2733         file=AcquireUniqueFileResource(filename);
2734         if (file != -1)
2735           file=close(file)-1;
2736         (void) FormatLocaleString(preview_image->filename,MaxTextExtent,
2737           "jpeg:%s",filename);
2738         status=WriteImage(preview_info,preview_image,exception);
2739         if (status != MagickFalse)
2740           {
2741             Image
2742               *quality_image;
2743
2744             (void) CopyMagickString(preview_info->filename,
2745               preview_image->filename,MaxTextExtent);
2746             quality_image=ReadImage(preview_info,exception);
2747             if (quality_image != (Image *) NULL)
2748               {
2749                 preview_image=DestroyImage(preview_image);
2750                 preview_image=quality_image;
2751               }
2752           }
2753         (void) RelinquishUniqueFileResource(preview_image->filename);
2754         if ((GetBlobSize(preview_image)/1024) >= 1024)
2755           (void) FormatLocaleString(label,MaxTextExtent,"quality %s\n%gmb ",
2756             factor,(double) ((MagickOffsetType) GetBlobSize(preview_image))/
2757             1024.0/1024.0);
2758         else
2759           if (GetBlobSize(preview_image) >= 1024)
2760             (void) FormatLocaleString(label,MaxTextExtent,
2761               "quality %s\n%gkb ",factor,(double) ((MagickOffsetType)
2762               GetBlobSize(preview_image))/1024.0);
2763           else
2764             (void) FormatLocaleString(label,MaxTextExtent,"quality %s\n%.20gb ",
2765               factor,(double) ((MagickOffsetType) GetBlobSize(thumbnail)));
2766         break;
2767       }
2768     }
2769     thumbnail=DestroyImage(thumbnail);
2770     percentage+=12.5;
2771     radius+=0.5;
2772     sigma+=0.25;
2773     if (preview_image == (Image *) NULL)
2774       break;
2775     (void) DeleteImageProperty(preview_image,"label");
2776     (void) SetImageProperty(preview_image,"label",label);
2777     AppendImageToList(&images,preview_image);
2778     proceed=SetImageProgress(image,PreviewImageTag,(MagickOffsetType) i,
2779       NumberTiles);
2780     if (proceed == MagickFalse)
2781       break;
2782   }
2783   if (images == (Image *) NULL)
2784     {
2785       preview_info=DestroyImageInfo(preview_info);
2786       return((Image *) NULL);
2787     }
2788   /*
2789     Create the montage.
2790   */
2791   montage_info=CloneMontageInfo(preview_info,(MontageInfo *) NULL);
2792   (void) CopyMagickString(montage_info->filename,image->filename,MaxTextExtent);
2793   montage_info->shadow=MagickTrue;
2794   (void) CloneString(&montage_info->tile,"3x3");
2795   (void) CloneString(&montage_info->geometry,DefaultPreviewGeometry);
2796   (void) CloneString(&montage_info->frame,DefaultTileFrame);
2797   montage_image=MontageImages(images,montage_info,exception);
2798   montage_info=DestroyMontageInfo(montage_info);
2799   images=DestroyImageList(images);
2800   if (montage_image == (Image *) NULL)
2801     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
2802   if (montage_image->montage != (char *) NULL)
2803     {
2804       /*
2805         Free image directory.
2806       */
2807       montage_image->montage=(char *) RelinquishMagickMemory(
2808         montage_image->montage);
2809       if (image->directory != (char *) NULL)
2810         montage_image->directory=(char *) RelinquishMagickMemory(
2811           montage_image->directory);
2812     }
2813   preview_info=DestroyImageInfo(preview_info);
2814   return(montage_image);
2815 }
2816 \f
2817 /*
2818 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2819 %                                                                             %
2820 %                                                                             %
2821 %                                                                             %
2822 %     R a d i a l B l u r I m a g e                                           %
2823 %                                                                             %
2824 %                                                                             %
2825 %                                                                             %
2826 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2827 %
2828 %  RadialBlurImage() applies a radial blur to the image.
2829 %
2830 %  Andrew Protano contributed this effect.
2831 %
2832 %  The format of the RadialBlurImage method is:
2833 %
2834 %    Image *RadialBlurImage(const Image *image,const double angle,
2835 %      const double blur,ExceptionInfo *exception)
2836 %
2837 %  A description of each parameter follows:
2838 %
2839 %    o image: the image.
2840 %
2841 %    o angle: the angle of the radial blur.
2842 %
2843 %    o blur: the blur.
2844 %
2845 %    o exception: return any errors or warnings in this structure.
2846 %
2847 */
2848 MagickExport Image *RadialBlurImage(const Image *image,
2849   const double angle,const double bias,ExceptionInfo *exception)
2850 {
2851   CacheView
2852     *blur_view,
2853     *image_view;
2854
2855   Image
2856     *blur_image;
2857
2858   MagickBooleanType
2859     status;
2860
2861   MagickOffsetType
2862     progress;
2863
2864   MagickRealType
2865     blur_radius,
2866     *cos_theta,
2867     offset,
2868     *sin_theta,
2869     theta;
2870
2871   PointInfo
2872     blur_center;
2873
2874   register ssize_t
2875     i;
2876
2877   size_t
2878     n;
2879
2880   ssize_t
2881     y;
2882
2883   /*
2884     Allocate blur image.
2885   */
2886   assert(image != (Image *) NULL);
2887   assert(image->signature == MagickSignature);
2888   if (image->debug != MagickFalse)
2889     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
2890   assert(exception != (ExceptionInfo *) NULL);
2891   assert(exception->signature == MagickSignature);
2892   blur_image=CloneImage(image,image->columns,image->rows,MagickTrue,exception);
2893   if (blur_image == (Image *) NULL)
2894     return((Image *) NULL);
2895   if (SetImageStorageClass(blur_image,DirectClass,exception) == MagickFalse)
2896     {
2897       blur_image=DestroyImage(blur_image);
2898       return((Image *) NULL);
2899     }
2900   blur_center.x=(double) image->columns/2.0;
2901   blur_center.y=(double) image->rows/2.0;
2902   blur_radius=hypot(blur_center.x,blur_center.y);
2903   n=(size_t) fabs(4.0*DegreesToRadians(angle)*sqrt((double) blur_radius)+2UL);
2904   theta=DegreesToRadians(angle)/(MagickRealType) (n-1);
2905   cos_theta=(MagickRealType *) AcquireQuantumMemory((size_t) n,
2906     sizeof(*cos_theta));
2907   sin_theta=(MagickRealType *) AcquireQuantumMemory((size_t) n,
2908     sizeof(*sin_theta));
2909   if ((cos_theta == (MagickRealType *) NULL) ||
2910       (sin_theta == (MagickRealType *) NULL))
2911     {
2912       blur_image=DestroyImage(blur_image);
2913       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
2914     }
2915   offset=theta*(MagickRealType) (n-1)/2.0;
2916   for (i=0; i < (ssize_t) n; i++)
2917   {
2918     cos_theta[i]=cos((double) (theta*i-offset));
2919     sin_theta[i]=sin((double) (theta*i-offset));
2920   }
2921   /*
2922     Radial blur image.
2923   */
2924   status=MagickTrue;
2925   progress=0;
2926   image_view=AcquireCacheView(image);
2927   blur_view=AcquireCacheView(blur_image);
2928 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2929   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
2930 #endif
2931   for (y=0; y < (ssize_t) image->rows; y++)
2932   {
2933     register const Quantum
2934       *restrict p;
2935
2936     register Quantum
2937       *restrict q;
2938
2939     register ssize_t
2940       x;
2941
2942     if (status == MagickFalse)
2943       continue;
2944     p=GetCacheViewVirtualPixels(blur_view,0,y,image->columns,1,exception);
2945     q=GetCacheViewAuthenticPixels(blur_view,0,y,blur_image->columns,1,
2946       exception);
2947     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
2948       {
2949         status=MagickFalse;
2950         continue;
2951       }
2952     for (x=0; x < (ssize_t) image->columns; x++)
2953     {
2954       MagickRealType
2955         radius;
2956
2957       PointInfo
2958         center;
2959
2960       register ssize_t
2961         i;
2962
2963       size_t
2964         step;
2965
2966       center.x=(double) x-blur_center.x;
2967       center.y=(double) y-blur_center.y;
2968       radius=hypot((double) center.x,center.y);
2969       if (radius == 0)
2970         step=1;
2971       else
2972         {
2973           step=(size_t) (blur_radius/radius);
2974           if (step == 0)
2975             step=1;
2976           else
2977             if (step >= n)
2978               step=n-1;
2979         }
2980       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
2981       {
2982         MagickRealType
2983           gamma,
2984           pixel;
2985
2986         PixelChannel
2987           channel;
2988
2989         PixelTrait
2990           blur_traits,
2991           traits;
2992
2993         register const Quantum
2994           *restrict r;
2995
2996         register ssize_t
2997           j;
2998
2999         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
3000         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
3001         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
3002         if ((traits == UndefinedPixelTrait) ||
3003             (blur_traits == UndefinedPixelTrait))
3004           continue;
3005         if ((blur_traits & CopyPixelTrait) != 0)
3006           {
3007             q[channel]=p[i];
3008             continue;
3009           }
3010         gamma=0.0;
3011         pixel=bias;
3012         if ((blur_traits & BlendPixelTrait) == 0)
3013           {
3014             for (j=0; j < (ssize_t) n; j+=(ssize_t) step)
3015             {
3016               r=GetCacheViewVirtualPixels(image_view, (ssize_t) (blur_center.x+
3017                 center.x*cos_theta[j]-center.y*sin_theta[j]+0.5),(ssize_t)
3018                 (blur_center.y+center.x*sin_theta[j]+center.y*cos_theta[j]+0.5),
3019                 1,1,exception);
3020               if (r == (const Quantum *) NULL)
3021                 {
3022                   status=MagickFalse;
3023                   continue;
3024                 }
3025               pixel+=r[i];
3026               gamma++;
3027             }
3028             gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
3029             q[channel]=ClampToQuantum(gamma*pixel);
3030             continue;
3031           }
3032         for (j=0; j < (ssize_t) n; j+=(ssize_t) step)
3033         {
3034           r=GetCacheViewVirtualPixels(image_view, (ssize_t) (blur_center.x+
3035             center.x*cos_theta[j]-center.y*sin_theta[j]+0.5),(ssize_t)
3036             (blur_center.y+center.x*sin_theta[j]+center.y*cos_theta[j]+0.5),
3037             1,1,exception);
3038           if (r == (const Quantum *) NULL)
3039             {
3040               status=MagickFalse;
3041               continue;
3042             }
3043           pixel+=GetPixelAlpha(image,r)*r[i];
3044           gamma+=GetPixelAlpha(image,r);
3045         }
3046         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
3047         q[channel]=ClampToQuantum(gamma*pixel);
3048       }
3049       p+=GetPixelChannels(image);
3050       q+=GetPixelChannels(blur_image);
3051     }
3052     if (SyncCacheViewAuthenticPixels(blur_view,exception) == MagickFalse)
3053       status=MagickFalse;
3054     if (image->progress_monitor != (MagickProgressMonitor) NULL)
3055       {
3056         MagickBooleanType
3057           proceed;
3058
3059 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3060   #pragma omp critical (MagickCore_RadialBlurImage)
3061 #endif
3062         proceed=SetImageProgress(image,BlurImageTag,progress++,image->rows);
3063         if (proceed == MagickFalse)
3064           status=MagickFalse;
3065       }
3066   }
3067   blur_view=DestroyCacheView(blur_view);
3068   image_view=DestroyCacheView(image_view);
3069   cos_theta=(MagickRealType *) RelinquishMagickMemory(cos_theta);
3070   sin_theta=(MagickRealType *) RelinquishMagickMemory(sin_theta);
3071   if (status == MagickFalse)
3072     blur_image=DestroyImage(blur_image);
3073   return(blur_image);
3074 }
3075 \f
3076 /*
3077 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3078 %                                                                             %
3079 %                                                                             %
3080 %                                                                             %
3081 %     S e l e c t i v e B l u r I m a g e                                     %
3082 %                                                                             %
3083 %                                                                             %
3084 %                                                                             %
3085 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3086 %
3087 %  SelectiveBlurImage() selectively blur pixels within a contrast threshold.
3088 %  It is similar to the unsharpen mask that sharpens everything with contrast
3089 %  above a certain threshold.
3090 %
3091 %  The format of the SelectiveBlurImage method is:
3092 %
3093 %      Image *SelectiveBlurImage(const Image *image,const double radius,
3094 %        const double sigma,const double threshold,const double bias,
3095 %        ExceptionInfo *exception)
3096 %
3097 %  A description of each parameter follows:
3098 %
3099 %    o image: the image.
3100 %
3101 %    o radius: the radius of the Gaussian, in pixels, not counting the center
3102 %      pixel.
3103 %
3104 %    o sigma: the standard deviation of the Gaussian, in pixels.
3105 %
3106 %    o threshold: only pixels within this contrast threshold are included
3107 %      in the blur operation.
3108 %
3109 %    o bias: the bias.
3110 %
3111 %    o exception: return any errors or warnings in this structure.
3112 %
3113 */
3114 MagickExport Image *SelectiveBlurImage(const Image *image,
3115   const double radius,const double sigma,const double threshold,
3116   const double bias,ExceptionInfo *exception)
3117 {
3118 #define SelectiveBlurImageTag  "SelectiveBlur/Image"
3119
3120   CacheView
3121     *blur_view,
3122     *image_view;
3123
3124   double
3125     *kernel;
3126
3127   Image
3128     *blur_image;
3129
3130   MagickBooleanType
3131     status;
3132
3133   MagickOffsetType
3134     progress;
3135
3136   register ssize_t
3137     i;
3138
3139   size_t
3140     center,
3141     width;
3142
3143   ssize_t
3144     j,
3145     u,
3146     v,
3147     y;
3148
3149   /*
3150     Initialize blur image attributes.
3151   */
3152   assert(image != (Image *) NULL);
3153   assert(image->signature == MagickSignature);
3154   if (image->debug != MagickFalse)
3155     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
3156   assert(exception != (ExceptionInfo *) NULL);
3157   assert(exception->signature == MagickSignature);
3158   width=GetOptimalKernelWidth1D(radius,sigma);
3159   kernel=(double *) AcquireQuantumMemory((size_t) width,width*sizeof(*kernel));
3160   if (kernel == (double *) NULL)
3161     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
3162   j=(ssize_t) width/2;
3163   i=0;
3164   for (v=(-j); v <= j; v++)
3165   {
3166     for (u=(-j); u <= j; u++)
3167       kernel[i++]=(double) (exp(-((double) u*u+v*v)/(2.0*MagickSigma*
3168         MagickSigma))/(2.0*MagickPI*MagickSigma*MagickSigma));
3169   }
3170   if (image->debug != MagickFalse)
3171     {
3172       char
3173         format[MaxTextExtent],
3174         *message;
3175
3176       register const double
3177         *k;
3178
3179       ssize_t
3180         u,
3181         v;
3182
3183       (void) LogMagickEvent(TransformEvent,GetMagickModule(),
3184         "  SelectiveBlurImage with %.20gx%.20g kernel:",(double) width,(double)
3185         width);
3186       message=AcquireString("");
3187       k=kernel;
3188       for (v=0; v < (ssize_t) width; v++)
3189       {
3190         *message='\0';
3191         (void) FormatLocaleString(format,MaxTextExtent,"%.20g: ",(double) v);
3192         (void) ConcatenateString(&message,format);
3193         for (u=0; u < (ssize_t) width; u++)
3194         {
3195           (void) FormatLocaleString(format,MaxTextExtent,"%+f ",*k++);
3196           (void) ConcatenateString(&message,format);
3197         }
3198         (void) LogMagickEvent(TransformEvent,GetMagickModule(),"%s",message);
3199       }
3200       message=DestroyString(message);
3201     }
3202   blur_image=CloneImage(image,image->columns,image->rows,MagickTrue,exception);
3203   if (blur_image == (Image *) NULL)
3204     return((Image *) NULL);
3205   if (SetImageStorageClass(blur_image,DirectClass,exception) == MagickFalse)
3206     {
3207       blur_image=DestroyImage(blur_image);
3208       return((Image *) NULL);
3209     }
3210   /*
3211     Threshold blur image.
3212   */
3213   status=MagickTrue;
3214   progress=0;
3215   center=(ssize_t) GetPixelChannels(image)*(image->columns+width)*(width/2L)+
3216     GetPixelChannels(image)*(width/2L);
3217   image_view=AcquireCacheView(image);
3218   blur_view=AcquireCacheView(blur_image);
3219 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3220   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
3221 #endif
3222   for (y=0; y < (ssize_t) image->rows; y++)
3223   {
3224     double
3225       contrast;
3226
3227     MagickBooleanType
3228       sync;
3229
3230     register const Quantum
3231       *restrict p;
3232
3233     register Quantum
3234       *restrict q;
3235
3236     register ssize_t
3237       x;
3238
3239     if (status == MagickFalse)
3240       continue;
3241     p=GetCacheViewVirtualPixels(image_view,-((ssize_t) width/2L),y-(ssize_t)
3242       (width/2L),image->columns+width,width,exception);
3243     q=GetCacheViewAuthenticPixels(blur_view,0,y,blur_image->columns,1,
3244       exception);
3245     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
3246       {
3247         status=MagickFalse;
3248         continue;
3249       }
3250     for (x=0; x < (ssize_t) image->columns; x++)
3251     {
3252       register ssize_t
3253         i;
3254
3255       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
3256       {
3257         MagickRealType
3258           alpha,
3259           gamma,
3260           intensity,
3261           pixel;
3262
3263         PixelChannel
3264           channel;
3265
3266         PixelTrait
3267           blur_traits,
3268           traits;
3269
3270         register const double
3271           *restrict k;
3272
3273         register const Quantum
3274           *restrict pixels;
3275
3276         register ssize_t
3277           u;
3278
3279         ssize_t
3280           v;
3281
3282         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
3283         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
3284         blur_traits=GetPixelChannelMapTraits(blur_image,channel);
3285         if ((traits == UndefinedPixelTrait) ||
3286             (blur_traits == UndefinedPixelTrait))
3287           continue;
3288         if ((blur_traits & CopyPixelTrait) != 0)
3289           {
3290             q[channel]=p[center+i];
3291             continue;
3292           }
3293         k=kernel;
3294         pixel=bias;
3295         pixels=p;
3296         intensity=GetPixelIntensity(image,p+center);
3297         gamma=0.0;
3298         if ((blur_traits & BlendPixelTrait) == 0)
3299           {
3300             for (v=0; v < (ssize_t) width; v++)
3301             {
3302               for (u=0; u < (ssize_t) width; u++)
3303               {
3304                 contrast=GetPixelIntensity(image,pixels)-intensity;
3305                 if (fabs(contrast) < threshold)
3306                   {
3307                     pixel+=(*k)*pixels[i];
3308                     gamma+=(*k);
3309                   }
3310                 k++;
3311                 pixels+=GetPixelChannels(image);
3312               }
3313               pixels+=image->columns*GetPixelChannels(image);
3314             }
3315             if (fabs((double) gamma) < MagickEpsilon)
3316               {
3317                 q[channel]=p[center+i];
3318                 continue;
3319               }
3320             gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
3321             q[channel]=ClampToQuantum(gamma*pixel);
3322             continue;
3323           }
3324         for (v=0; v < (ssize_t) width; v++)
3325         {
3326           for (u=0; u < (ssize_t) width; u++)
3327           {
3328             contrast=GetPixelIntensity(image,pixels)-intensity;
3329             if (fabs(contrast) < threshold)
3330               {
3331                 alpha=(MagickRealType) (QuantumScale*
3332                   GetPixelAlpha(image,pixels));
3333                 pixel+=(*k)*alpha*pixels[i];
3334                 gamma+=(*k)*alpha;
3335               }
3336             k++;
3337             pixels+=GetPixelChannels(image);
3338           }
3339           pixels+=image->columns*GetPixelChannels(image);
3340         }
3341         if (fabs((double) gamma) < MagickEpsilon)
3342           {
3343             q[channel]=p[center+i];
3344             continue;
3345           }
3346         gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
3347         q[channel]=ClampToQuantum(gamma*pixel);
3348       }
3349       p+=GetPixelChannels(image);
3350       q+=GetPixelChannels(blur_image);
3351     }
3352     sync=SyncCacheViewAuthenticPixels(blur_view,exception);
3353     if (sync == MagickFalse)
3354       status=MagickFalse;
3355     if (image->progress_monitor != (MagickProgressMonitor) NULL)
3356       {
3357         MagickBooleanType
3358           proceed;
3359
3360 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3361   #pragma omp critical (MagickCore_SelectiveBlurImage)
3362 #endif
3363         proceed=SetImageProgress(image,SelectiveBlurImageTag,progress++,
3364           image->rows);
3365         if (proceed == MagickFalse)
3366           status=MagickFalse;
3367       }
3368   }
3369   blur_image->type=image->type;
3370   blur_view=DestroyCacheView(blur_view);
3371   image_view=DestroyCacheView(image_view);
3372   kernel=(double *) RelinquishMagickMemory(kernel);
3373   if (status == MagickFalse)
3374     blur_image=DestroyImage(blur_image);
3375   return(blur_image);
3376 }
3377 \f
3378 /*
3379 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3380 %                                                                             %
3381 %                                                                             %
3382 %                                                                             %
3383 %     S h a d e I m a g e                                                     %
3384 %                                                                             %
3385 %                                                                             %
3386 %                                                                             %
3387 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3388 %
3389 %  ShadeImage() shines a distant light on an image to create a
3390 %  three-dimensional effect. You control the positioning of the light with
3391 %  azimuth and elevation; azimuth is measured in degrees off the x axis
3392 %  and elevation is measured in pixels above the Z axis.
3393 %
3394 %  The format of the ShadeImage method is:
3395 %
3396 %      Image *ShadeImage(const Image *image,const MagickBooleanType gray,
3397 %        const double azimuth,const double elevation,ExceptionInfo *exception)
3398 %
3399 %  A description of each parameter follows:
3400 %
3401 %    o image: the image.
3402 %
3403 %    o gray: A value other than zero shades the intensity of each pixel.
3404 %
3405 %    o azimuth, elevation:  Define the light source direction.
3406 %
3407 %    o exception: return any errors or warnings in this structure.
3408 %
3409 */
3410 MagickExport Image *ShadeImage(const Image *image,const MagickBooleanType gray,
3411   const double azimuth,const double elevation,ExceptionInfo *exception)
3412 {
3413 #define ShadeImageTag  "Shade/Image"
3414
3415   CacheView
3416     *image_view,
3417     *shade_view;
3418
3419   Image
3420     *shade_image;
3421
3422   MagickBooleanType
3423     status;
3424
3425   MagickOffsetType
3426     progress;
3427
3428   PrimaryInfo
3429     light;
3430
3431   ssize_t
3432     y;
3433
3434   /*
3435     Initialize shaded image attributes.
3436   */
3437   assert(image != (const Image *) NULL);
3438   assert(image->signature == MagickSignature);
3439   if (image->debug != MagickFalse)
3440     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
3441   assert(exception != (ExceptionInfo *) NULL);
3442   assert(exception->signature == MagickSignature);
3443   shade_image=CloneImage(image,image->columns,image->rows,MagickTrue,exception);
3444   if (shade_image == (Image *) NULL)
3445     return((Image *) NULL);
3446   if (SetImageStorageClass(shade_image,DirectClass,exception) == MagickFalse)
3447     {
3448       shade_image=DestroyImage(shade_image);
3449       return((Image *) NULL);
3450     }
3451   /*
3452     Compute the light vector.
3453   */
3454   light.x=(double) QuantumRange*cos(DegreesToRadians(azimuth))*
3455     cos(DegreesToRadians(elevation));
3456   light.y=(double) QuantumRange*sin(DegreesToRadians(azimuth))*
3457     cos(DegreesToRadians(elevation));
3458   light.z=(double) QuantumRange*sin(DegreesToRadians(elevation));
3459   /*
3460     Shade image.
3461   */
3462   status=MagickTrue;
3463   progress=0;
3464   image_view=AcquireCacheView(image);
3465   shade_view=AcquireCacheView(shade_image);
3466 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3467   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
3468 #endif
3469   for (y=0; y < (ssize_t) image->rows; y++)
3470   {
3471     MagickRealType
3472       distance,
3473       normal_distance,
3474       shade;
3475
3476     PrimaryInfo
3477       normal;
3478
3479     register const Quantum
3480       *restrict center,
3481       *restrict p,
3482       *restrict post,
3483       *restrict pre;
3484
3485     register Quantum
3486       *restrict q;
3487
3488     register ssize_t
3489       x;
3490
3491     if (status == MagickFalse)
3492       continue;
3493     p=GetCacheViewVirtualPixels(image_view,-1,y-1,image->columns+2,3,exception);
3494     q=QueueCacheViewAuthenticPixels(shade_view,0,y,shade_image->columns,1,
3495       exception);
3496     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
3497       {
3498         status=MagickFalse;
3499         continue;
3500       }
3501     /*
3502       Shade this row of pixels.
3503     */
3504     normal.z=2.0*(double) QuantumRange;  /* constant Z of surface normal */
3505     pre=p+GetPixelChannels(image);
3506     center=pre+(image->columns+2)*GetPixelChannels(image);
3507     post=center+(image->columns+2)*GetPixelChannels(image);
3508     for (x=0; x < (ssize_t) image->columns; x++)
3509     {
3510       register ssize_t
3511         i;
3512
3513       /*
3514         Determine the surface normal and compute shading.
3515       */
3516       normal.x=(double) (GetPixelIntensity(image,pre-GetPixelChannels(image))+
3517         GetPixelIntensity(image,center-GetPixelChannels(image))+
3518         GetPixelIntensity(image,post-GetPixelChannels(image))-
3519         GetPixelIntensity(image,pre+GetPixelChannels(image))-
3520         GetPixelIntensity(image,center+GetPixelChannels(image))-
3521         GetPixelIntensity(image,post+GetPixelChannels(image)));
3522       normal.y=(double) (GetPixelIntensity(image,post-GetPixelChannels(image))+
3523         GetPixelIntensity(image,post)+GetPixelIntensity(image,post+
3524         GetPixelChannels(image))-GetPixelIntensity(image,pre-
3525         GetPixelChannels(image))-GetPixelIntensity(image,pre)-
3526         GetPixelIntensity(image,pre+GetPixelChannels(image)));
3527       if ((normal.x == 0.0) && (normal.y == 0.0))
3528         shade=light.z;
3529       else
3530         {
3531           shade=0.0;
3532           distance=normal.x*light.x+normal.y*light.y+normal.z*light.z;
3533           if (distance > MagickEpsilon)
3534             {
3535               normal_distance=
3536                 normal.x*normal.x+normal.y*normal.y+normal.z*normal.z;
3537               if (normal_distance > (MagickEpsilon*MagickEpsilon))
3538                 shade=distance/sqrt((double) normal_distance);
3539             }
3540         }
3541       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
3542       {
3543         PixelChannel
3544           channel;
3545
3546         PixelTrait
3547           shade_traits,
3548           traits;
3549
3550         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
3551         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
3552         shade_traits=GetPixelChannelMapTraits(shade_image,channel);
3553         if ((traits == UndefinedPixelTrait) ||
3554             (shade_traits == UndefinedPixelTrait))
3555           continue;
3556         if ((shade_traits & CopyPixelTrait) != 0)
3557           {
3558             q[channel]=center[i];
3559             continue;
3560           }
3561         if (gray != MagickFalse)
3562           {
3563             q[channel]=ClampToQuantum(shade);
3564             continue;
3565           }
3566         q[channel]=ClampToQuantum(QuantumScale*shade*center[i]);
3567       }
3568       pre+=GetPixelChannels(image);
3569       center+=GetPixelChannels(image);
3570       post+=GetPixelChannels(image);
3571       q+=GetPixelChannels(shade_image);
3572     }
3573     if (SyncCacheViewAuthenticPixels(shade_view,exception) == MagickFalse)
3574       status=MagickFalse;
3575     if (image->progress_monitor != (MagickProgressMonitor) NULL)
3576       {
3577         MagickBooleanType
3578           proceed;
3579
3580 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3581   #pragma omp critical (MagickCore_ShadeImage)
3582 #endif
3583         proceed=SetImageProgress(image,ShadeImageTag,progress++,image->rows);
3584         if (proceed == MagickFalse)
3585           status=MagickFalse;
3586       }
3587   }
3588   shade_view=DestroyCacheView(shade_view);
3589   image_view=DestroyCacheView(image_view);
3590   if (status == MagickFalse)
3591     shade_image=DestroyImage(shade_image);
3592   return(shade_image);
3593 }
3594 \f
3595 /*
3596 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3597 %                                                                             %
3598 %                                                                             %
3599 %                                                                             %
3600 %     S h a r p e n I m a g e                                                 %
3601 %                                                                             %
3602 %                                                                             %
3603 %                                                                             %
3604 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3605 %
3606 %  SharpenImage() sharpens the image.  We convolve the image with a Gaussian
3607 %  operator of the given radius and standard deviation (sigma).  For
3608 %  reasonable results, radius should be larger than sigma.  Use a radius of 0
3609 %  and SharpenImage() selects a suitable radius for you.
3610 %
3611 %  Using a separable kernel would be faster, but the negative weights cancel
3612 %  out on the corners of the kernel producing often undesirable ringing in the
3613 %  filtered result; this can be avoided by using a 2D gaussian shaped image
3614 %  sharpening kernel instead.
3615 %
3616 %  The format of the SharpenImage method is:
3617 %
3618 %    Image *SharpenImage(const Image *image,const double radius,
3619 %      const double sigma,const double bias,ExceptionInfo *exception)
3620 %
3621 %  A description of each parameter follows:
3622 %
3623 %    o image: the image.
3624 %
3625 %    o radius: the radius of the Gaussian, in pixels, not counting the center
3626 %      pixel.
3627 %
3628 %    o sigma: the standard deviation of the Laplacian, in pixels.
3629 %
3630 %    o bias: bias.
3631 %
3632 %    o exception: return any errors or warnings in this structure.
3633 %
3634 */
3635 MagickExport Image *SharpenImage(const Image *image,const double radius,
3636   const double sigma,const double bias,ExceptionInfo *exception)
3637 {
3638   double
3639     normalize;
3640
3641   Image
3642     *sharp_image;
3643
3644   KernelInfo
3645     *kernel_info;
3646
3647   register ssize_t
3648     i;
3649
3650   size_t
3651     width;
3652
3653   ssize_t
3654     j,
3655     u,
3656     v;
3657
3658   assert(image != (const Image *) NULL);
3659   assert(image->signature == MagickSignature);
3660   if (image->debug != MagickFalse)
3661     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
3662   assert(exception != (ExceptionInfo *) NULL);
3663   assert(exception->signature == MagickSignature);
3664   width=GetOptimalKernelWidth2D(radius,sigma);
3665   kernel_info=AcquireKernelInfo((const char *) NULL);
3666   if (kernel_info == (KernelInfo *) NULL)
3667     ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
3668   (void) ResetMagickMemory(kernel_info,0,sizeof(*kernel_info));
3669   kernel_info->width=width;
3670   kernel_info->height=width;
3671   kernel_info->bias=bias;
3672   kernel_info->signature=MagickSignature;
3673   kernel_info->values=(double *) AcquireAlignedMemory(kernel_info->width,
3674     kernel_info->width*sizeof(*kernel_info->values));
3675   if (kernel_info->values == (double *) NULL)
3676     {
3677       kernel_info=DestroyKernelInfo(kernel_info);
3678       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
3679     }
3680   normalize=0.0;
3681   j=(ssize_t) kernel_info->width/2;
3682   i=0;
3683   for (v=(-j); v <= j; v++)
3684   {
3685     for (u=(-j); u <= j; u++)
3686     {
3687       kernel_info->values[i]=(double) (-exp(-((double) u*u+v*v)/(2.0*
3688         MagickSigma*MagickSigma))/(2.0*MagickPI*MagickSigma*MagickSigma));
3689       normalize+=kernel_info->values[i];
3690       i++;
3691     }
3692   }
3693   kernel_info->values[i/2]=(double) ((-2.0)*normalize);
3694   sharp_image=ConvolveImage(image,kernel_info,exception);
3695   kernel_info=DestroyKernelInfo(kernel_info);
3696   return(sharp_image);
3697 }
3698 \f
3699 /*
3700 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3701 %                                                                             %
3702 %                                                                             %
3703 %                                                                             %
3704 %     S p r e a d I m a g e                                                   %
3705 %                                                                             %
3706 %                                                                             %
3707 %                                                                             %
3708 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3709 %
3710 %  SpreadImage() is a special effects method that randomly displaces each
3711 %  pixel in a block defined by the radius parameter.
3712 %
3713 %  The format of the SpreadImage method is:
3714 %
3715 %      Image *SpreadImage(const Image *image,const double radius,
3716 %        ExceptionInfo *exception)
3717 %
3718 %  A description of each parameter follows:
3719 %
3720 %    o image: the image.
3721 %
3722 %    o radius:  Choose a random pixel in a neighborhood of this extent.
3723 %
3724 %    o exception: return any errors or warnings in this structure.
3725 %
3726 */
3727 MagickExport Image *SpreadImage(const Image *image,const double radius,
3728   ExceptionInfo *exception)
3729 {
3730 #define SpreadImageTag  "Spread/Image"
3731
3732   CacheView
3733     *image_view,
3734     *spread_view;
3735
3736   Image
3737     *spread_image;
3738
3739   MagickBooleanType
3740     status;
3741
3742   MagickOffsetType
3743     progress;
3744
3745   RandomInfo
3746     **restrict random_info;
3747
3748   size_t
3749     width;
3750
3751   ssize_t
3752     y;
3753
3754   /*
3755     Initialize spread image attributes.
3756   */
3757   assert(image != (Image *) NULL);
3758   assert(image->signature == MagickSignature);
3759   if (image->debug != MagickFalse)
3760     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
3761   assert(exception != (ExceptionInfo *) NULL);
3762   assert(exception->signature == MagickSignature);
3763   spread_image=CloneImage(image,image->columns,image->rows,MagickTrue,
3764     exception);
3765   if (spread_image == (Image *) NULL)
3766     return((Image *) NULL);
3767   if (SetImageStorageClass(spread_image,DirectClass,exception) == MagickFalse)
3768     {
3769       spread_image=DestroyImage(spread_image);
3770       return((Image *) NULL);
3771     }
3772   /*
3773     Spread image.
3774   */
3775   status=MagickTrue;
3776   progress=0;
3777   width=GetOptimalKernelWidth1D(radius,0.5);
3778   random_info=AcquireRandomInfoThreadSet();
3779   image_view=AcquireCacheView(image);
3780   spread_view=AcquireCacheView(spread_image);
3781 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3782   #pragma omp parallel for schedule(dynamic,4) shared(progress,status) omp_throttle(1)
3783 #endif
3784   for (y=0; y < (ssize_t) image->rows; y++)
3785   {
3786     const int
3787       id = GetOpenMPThreadId();
3788
3789     register const Quantum
3790       *restrict p;
3791
3792     register Quantum
3793       *restrict q;
3794
3795     register ssize_t
3796       x;
3797
3798     if (status == MagickFalse)
3799       continue;
3800     p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
3801     q=QueueCacheViewAuthenticPixels(spread_view,0,y,spread_image->columns,1,
3802       exception);
3803     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
3804       {
3805         status=MagickFalse;
3806         continue;
3807       }
3808     for (x=0; x < (ssize_t) image->columns; x++)
3809     {
3810       PointInfo
3811         point;
3812
3813       register ssize_t
3814         i;
3815
3816       point.x=GetPseudoRandomValue(random_info[id]);
3817       point.y=GetPseudoRandomValue(random_info[id]);
3818       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
3819       {
3820         MagickRealType
3821           pixel;
3822
3823         PixelChannel
3824           channel;
3825
3826         PixelTrait
3827           spread_traits,
3828           traits;
3829
3830         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
3831         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
3832         spread_traits=GetPixelChannelMapTraits(spread_image,channel);
3833         if ((traits == UndefinedPixelTrait) ||
3834             (spread_traits == UndefinedPixelTrait))
3835           continue;
3836         if ((spread_traits & CopyPixelTrait) != 0)
3837           {
3838             q[channel]=p[i];
3839             continue;
3840           }
3841         status=InterpolatePixelChannel(image,image_view,(PixelChannel) i,
3842           MeshInterpolatePixel,(double) x+width*point.x-0.5,(double) y+width*
3843           point.y-0.5,&pixel,exception);
3844         q[channel]=ClampToQuantum(pixel);
3845       }
3846       q+=GetPixelChannels(spread_image);
3847     }
3848     if (SyncCacheViewAuthenticPixels(spread_view,exception) == MagickFalse)
3849       status=MagickFalse;
3850     if (image->progress_monitor != (MagickProgressMonitor) NULL)
3851       {
3852         MagickBooleanType
3853           proceed;
3854
3855 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3856   #pragma omp critical (MagickCore_SpreadImage)
3857 #endif
3858         proceed=SetImageProgress(image,SpreadImageTag,progress++,image->rows);
3859         if (proceed == MagickFalse)
3860           status=MagickFalse;
3861       }
3862   }
3863   spread_view=DestroyCacheView(spread_view);
3864   image_view=DestroyCacheView(image_view);
3865   random_info=DestroyRandomInfoThreadSet(random_info);
3866   return(spread_image);
3867 }
3868 \f
3869 /*
3870 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3871 %                                                                             %
3872 %                                                                             %
3873 %                                                                             %
3874 %     S t a t i s t i c I m a g e                                             %
3875 %                                                                             %
3876 %                                                                             %
3877 %                                                                             %
3878 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3879 %
3880 %  StatisticImage() makes each pixel the min / max / median / mode / etc. of
3881 %  the neighborhood of the specified width and height.
3882 %
3883 %  The format of the StatisticImage method is:
3884 %
3885 %      Image *StatisticImage(const Image *image,const StatisticType type,
3886 %        const size_t width,const size_t height,ExceptionInfo *exception)
3887 %
3888 %  A description of each parameter follows:
3889 %
3890 %    o image: the image.
3891 %
3892 %    o type: the statistic type (median, mode, etc.).
3893 %
3894 %    o width: the width of the pixel neighborhood.
3895 %
3896 %    o height: the height of the pixel neighborhood.
3897 %
3898 %    o exception: return any errors or warnings in this structure.
3899 %
3900 */
3901
3902 typedef struct _SkipNode
3903 {
3904   size_t
3905     next[9],
3906     count,
3907     signature;
3908 } SkipNode;
3909
3910 typedef struct _SkipList
3911 {
3912   ssize_t
3913     level;
3914
3915   SkipNode
3916     *nodes;
3917 } SkipList;
3918
3919 typedef struct _PixelList
3920 {
3921   size_t
3922     length,
3923     seed;
3924
3925   SkipList
3926     skip_list;
3927
3928   size_t
3929     signature;
3930 } PixelList;
3931
3932 static PixelList *DestroyPixelList(PixelList *pixel_list)
3933 {
3934   if (pixel_list == (PixelList *) NULL)
3935     return((PixelList *) NULL);
3936   if (pixel_list->skip_list.nodes != (SkipNode *) NULL)
3937     pixel_list->skip_list.nodes=(SkipNode *) RelinquishMagickMemory(
3938       pixel_list->skip_list.nodes);
3939   pixel_list=(PixelList *) RelinquishMagickMemory(pixel_list);
3940   return(pixel_list);
3941 }
3942
3943 static PixelList **DestroyPixelListThreadSet(PixelList **pixel_list)
3944 {
3945   register ssize_t
3946     i;
3947
3948   assert(pixel_list != (PixelList **) NULL);
3949   for (i=0; i < (ssize_t) GetOpenMPMaximumThreads(); i++)
3950     if (pixel_list[i] != (PixelList *) NULL)
3951       pixel_list[i]=DestroyPixelList(pixel_list[i]);
3952   pixel_list=(PixelList **) RelinquishMagickMemory(pixel_list);
3953   return(pixel_list);
3954 }
3955
3956 static PixelList *AcquirePixelList(const size_t width,const size_t height)
3957 {
3958   PixelList
3959     *pixel_list;
3960
3961   pixel_list=(PixelList *) AcquireMagickMemory(sizeof(*pixel_list));
3962   if (pixel_list == (PixelList *) NULL)
3963     return(pixel_list);
3964   (void) ResetMagickMemory((void *) pixel_list,0,sizeof(*pixel_list));
3965   pixel_list->length=width*height;
3966   pixel_list->skip_list.nodes=(SkipNode *) AcquireQuantumMemory(65537UL,
3967     sizeof(*pixel_list->skip_list.nodes));
3968   if (pixel_list->skip_list.nodes == (SkipNode *) NULL)
3969     return(DestroyPixelList(pixel_list));
3970   (void) ResetMagickMemory(pixel_list->skip_list.nodes,0,65537UL*
3971     sizeof(*pixel_list->skip_list.nodes));
3972   pixel_list->signature=MagickSignature;
3973   return(pixel_list);
3974 }
3975
3976 static PixelList **AcquirePixelListThreadSet(const size_t width,
3977   const size_t height)
3978 {
3979   PixelList
3980     **pixel_list;
3981
3982   register ssize_t
3983     i;
3984
3985   size_t
3986     number_threads;
3987
3988   number_threads=GetOpenMPMaximumThreads();
3989   pixel_list=(PixelList **) AcquireQuantumMemory(number_threads,
3990     sizeof(*pixel_list));
3991   if (pixel_list == (PixelList **) NULL)
3992     return((PixelList **) NULL);
3993   (void) ResetMagickMemory(pixel_list,0,number_threads*sizeof(*pixel_list));
3994   for (i=0; i < (ssize_t) number_threads; i++)
3995   {
3996     pixel_list[i]=AcquirePixelList(width,height);
3997     if (pixel_list[i] == (PixelList *) NULL)
3998       return(DestroyPixelListThreadSet(pixel_list));
3999   }
4000   return(pixel_list);
4001 }
4002
4003 static void AddNodePixelList(PixelList *pixel_list,const size_t color)
4004 {
4005   register SkipList
4006     *p;
4007
4008   register ssize_t
4009     level;
4010
4011   size_t
4012     search,
4013     update[9];
4014
4015   /*
4016     Initialize the node.
4017   */
4018   p=(&pixel_list->skip_list);
4019   p->nodes[color].signature=pixel_list->signature;
4020   p->nodes[color].count=1;
4021   /*
4022     Determine where it belongs in the list.
4023   */
4024   search=65536UL;
4025   for (level=p->level; level >= 0; level--)
4026   {
4027     while (p->nodes[search].next[level] < color)
4028       search=p->nodes[search].next[level];
4029     update[level]=search;
4030   }
4031   /*
4032     Generate a pseudo-random level for this node.
4033   */
4034   for (level=0; ; level++)
4035   {
4036     pixel_list->seed=(pixel_list->seed*42893621L)+1L;
4037     if ((pixel_list->seed & 0x300) != 0x300)
4038       break;
4039   }
4040   if (level > 8)
4041     level=8;
4042   if (level > (p->level+2))
4043     level=p->level+2;
4044   /*
4045     If we're raising the list's level, link back to the root node.
4046   */
4047   while (level > p->level)
4048   {
4049     p->level++;
4050     update[p->level]=65536UL;
4051   }
4052   /*
4053     Link the node into the skip-list.
4054   */
4055   do
4056   {
4057     p->nodes[color].next[level]=p->nodes[update[level]].next[level];
4058     p->nodes[update[level]].next[level]=color;
4059   } while (level-- > 0);
4060 }
4061
4062 static Quantum GetMaximumPixelList(PixelList *pixel_list)
4063 {
4064   register SkipList
4065     *p;
4066
4067   size_t
4068     color,
4069     maximum;
4070
4071   ssize_t
4072     count;
4073
4074   /*
4075     Find the maximum value for each of the color.
4076   */
4077   p=(&pixel_list->skip_list);
4078   color=65536L;
4079   count=0;
4080   maximum=p->nodes[color].next[0];
4081   do
4082   {
4083     color=p->nodes[color].next[0];
4084     if (color > maximum)
4085       maximum=color;
4086     count+=p->nodes[color].count;
4087   } while (count < (ssize_t) pixel_list->length);
4088   return(ScaleShortToQuantum((unsigned short) maximum));
4089 }
4090
4091 static Quantum GetMeanPixelList(PixelList *pixel_list)
4092 {
4093   MagickRealType
4094     sum;
4095
4096   register SkipList
4097     *p;
4098
4099   size_t
4100     color;
4101
4102   ssize_t
4103     count;
4104
4105   /*
4106     Find the mean value for each of the color.
4107   */
4108   p=(&pixel_list->skip_list);
4109   color=65536L;
4110   count=0;
4111   sum=0.0;
4112   do
4113   {
4114     color=p->nodes[color].next[0];
4115     sum+=(MagickRealType) p->nodes[color].count*color;
4116     count+=p->nodes[color].count;
4117   } while (count < (ssize_t) pixel_list->length);
4118   sum/=pixel_list->length;
4119   return(ScaleShortToQuantum((unsigned short) sum));
4120 }
4121
4122 static Quantum GetMedianPixelList(PixelList *pixel_list)
4123 {
4124   register SkipList
4125     *p;
4126
4127   size_t
4128     color;
4129
4130   ssize_t
4131     count;
4132
4133   /*
4134     Find the median value for each of the color.
4135   */
4136   p=(&pixel_list->skip_list);
4137   color=65536L;
4138   count=0;
4139   do
4140   {
4141     color=p->nodes[color].next[0];
4142     count+=p->nodes[color].count;
4143   } while (count <= (ssize_t) (pixel_list->length >> 1));
4144   return(ScaleShortToQuantum((unsigned short) color));
4145 }
4146
4147 static Quantum GetMinimumPixelList(PixelList *pixel_list)
4148 {
4149   register SkipList
4150     *p;
4151
4152   size_t
4153     color,
4154     minimum;
4155
4156   ssize_t
4157     count;
4158
4159   /*
4160     Find the minimum value for each of the color.
4161   */
4162   p=(&pixel_list->skip_list);
4163   count=0;
4164   color=65536UL;
4165   minimum=p->nodes[color].next[0];
4166   do
4167   {
4168     color=p->nodes[color].next[0];
4169     if (color < minimum)
4170       minimum=color;
4171     count+=p->nodes[color].count;
4172   } while (count < (ssize_t) pixel_list->length);
4173   return(ScaleShortToQuantum((unsigned short) minimum));
4174 }
4175
4176 static Quantum GetModePixelList(PixelList *pixel_list)
4177 {
4178   register SkipList
4179     *p;
4180
4181   size_t
4182     color,
4183     max_count,
4184     mode;
4185
4186   ssize_t
4187     count;
4188
4189   /*
4190     Make each pixel the 'predominant color' of the specified neighborhood.
4191   */
4192   p=(&pixel_list->skip_list);
4193   color=65536L;
4194   mode=color;
4195   max_count=p->nodes[mode].count;
4196   count=0;
4197   do
4198   {
4199     color=p->nodes[color].next[0];
4200     if (p->nodes[color].count > max_count)
4201       {
4202         mode=color;
4203         max_count=p->nodes[mode].count;
4204       }
4205     count+=p->nodes[color].count;
4206   } while (count < (ssize_t) pixel_list->length);
4207   return(ScaleShortToQuantum((unsigned short) mode));
4208 }
4209
4210 static Quantum GetNonpeakPixelList(PixelList *pixel_list)
4211 {
4212   register SkipList
4213     *p;
4214
4215   size_t
4216     color,
4217     next,
4218     previous;
4219
4220   ssize_t
4221     count;
4222
4223   /*
4224     Finds the non peak value for each of the colors.
4225   */
4226   p=(&pixel_list->skip_list);
4227   color=65536L;
4228   next=p->nodes[color].next[0];
4229   count=0;
4230   do
4231   {
4232     previous=color;
4233     color=next;
4234     next=p->nodes[color].next[0];
4235     count+=p->nodes[color].count;
4236   } while (count <= (ssize_t) (pixel_list->length >> 1));
4237   if ((previous == 65536UL) && (next != 65536UL))
4238     color=next;
4239   else
4240     if ((previous != 65536UL) && (next == 65536UL))
4241       color=previous;
4242   return(ScaleShortToQuantum((unsigned short) color));
4243 }
4244
4245 static Quantum GetStandardDeviationPixelList(PixelList *pixel_list)
4246 {
4247   MagickRealType
4248     sum,
4249     sum_squared;
4250
4251   register SkipList
4252     *p;
4253
4254   size_t
4255     color;
4256
4257   ssize_t
4258     count;
4259
4260   /*
4261     Find the standard-deviation value for each of the color.
4262   */
4263   p=(&pixel_list->skip_list);
4264   color=65536L;
4265   count=0;
4266   sum=0.0;
4267   sum_squared=0.0;
4268   do
4269   {
4270     register ssize_t
4271       i;
4272
4273     color=p->nodes[color].next[0];
4274     sum+=(MagickRealType) p->nodes[color].count*color;
4275     for (i=0; i < (ssize_t) p->nodes[color].count; i++)
4276       sum_squared+=((MagickRealType) color)*((MagickRealType) color);
4277     count+=p->nodes[color].count;
4278   } while (count < (ssize_t) pixel_list->length);
4279   sum/=pixel_list->length;
4280   sum_squared/=pixel_list->length;
4281   return(ScaleShortToQuantum((unsigned short) sqrt(sum_squared-(sum*sum))));
4282 }
4283
4284 static inline void InsertPixelList(const Image *image,const Quantum pixel,
4285   PixelList *pixel_list)
4286 {
4287   size_t
4288     signature;
4289
4290   unsigned short
4291     index;
4292
4293   index=ScaleQuantumToShort(pixel);
4294   signature=pixel_list->skip_list.nodes[index].signature;
4295   if (signature == pixel_list->signature)
4296     {
4297       pixel_list->skip_list.nodes[index].count++;
4298       return;
4299     }
4300   AddNodePixelList(pixel_list,index);
4301 }
4302
4303 static inline MagickRealType MagickAbsoluteValue(const MagickRealType x)
4304 {
4305   if (x < 0)
4306     return(-x);
4307   return(x);
4308 }
4309
4310 static inline size_t MagickMax(const size_t x,const size_t y)
4311 {
4312   if (x > y)
4313     return(x);
4314   return(y);
4315 }
4316
4317 static void ResetPixelList(PixelList *pixel_list)
4318 {
4319   int
4320     level;
4321
4322   register SkipNode
4323     *root;
4324
4325   register SkipList
4326     *p;
4327
4328   /*
4329     Reset the skip-list.
4330   */
4331   p=(&pixel_list->skip_list);
4332   root=p->nodes+65536UL;
4333   p->level=0;
4334   for (level=0; level < 9; level++)
4335     root->next[level]=65536UL;
4336   pixel_list->seed=pixel_list->signature++;
4337 }
4338
4339 MagickExport Image *StatisticImage(const Image *image,const StatisticType type,
4340   const size_t width,const size_t height,ExceptionInfo *exception)
4341 {
4342 #define StatisticImageTag  "Statistic/Image"
4343
4344   CacheView
4345     *image_view,
4346     *statistic_view;
4347
4348   Image
4349     *statistic_image;
4350
4351   MagickBooleanType
4352     status;
4353
4354   MagickOffsetType
4355     progress;
4356
4357   PixelList
4358     **restrict pixel_list;
4359
4360   ssize_t
4361     center,
4362     y;
4363
4364   /*
4365     Initialize statistics image attributes.
4366   */
4367   assert(image != (Image *) NULL);
4368   assert(image->signature == MagickSignature);
4369   if (image->debug != MagickFalse)
4370     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
4371   assert(exception != (ExceptionInfo *) NULL);
4372   assert(exception->signature == MagickSignature);
4373   statistic_image=CloneImage(image,image->columns,image->rows,MagickTrue,
4374     exception);
4375   if (statistic_image == (Image *) NULL)
4376     return((Image *) NULL);
4377   status=SetImageStorageClass(statistic_image,DirectClass,exception);
4378   if (status == MagickFalse)
4379     {
4380       statistic_image=DestroyImage(statistic_image);
4381       return((Image *) NULL);
4382     }
4383   pixel_list=AcquirePixelListThreadSet(MagickMax(width,1),MagickMax(height,1));
4384   if (pixel_list == (PixelList **) NULL)
4385     {
4386       statistic_image=DestroyImage(statistic_image);
4387       ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
4388     }
4389   /*
4390     Make each pixel the min / max / median / mode / etc. of the neighborhood.
4391   */
4392   center=(ssize_t) GetPixelChannels(image)*(image->columns+MagickMax(width,1))*
4393     (MagickMax(height,1)/2L)+GetPixelChannels(image)*(MagickMax(width,1)/2L);
4394   status=MagickTrue;
4395   progress=0;
4396   image_view=AcquireCacheView(image);
4397   statistic_view=AcquireCacheView(statistic_image);
4398 #if defined(MAGICKCORE_OPENMP_SUPPORT)
4399   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
4400 #endif
4401   for (y=0; y < (ssize_t) statistic_image->rows; y++)
4402   {
4403     const int
4404       id = GetOpenMPThreadId();
4405
4406     register const Quantum
4407       *restrict p;
4408
4409     register Quantum
4410       *restrict q;
4411
4412     register ssize_t
4413       x;
4414
4415     if (status == MagickFalse)
4416       continue;
4417     p=GetCacheViewVirtualPixels(image_view,-((ssize_t) MagickMax(width,1)/2L),y-
4418       (ssize_t) (MagickMax(height,1)/2L),image->columns+MagickMax(width,1),
4419       MagickMax(height,1),exception);
4420     q=QueueCacheViewAuthenticPixels(statistic_view,0,y,statistic_image->columns,      1,exception);
4421     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
4422       {
4423         status=MagickFalse;
4424         continue;
4425       }
4426     for (x=0; x < (ssize_t) statistic_image->columns; x++)
4427     {
4428       register ssize_t
4429         i;
4430
4431       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
4432       {
4433         PixelChannel
4434           channel;
4435
4436         PixelTrait
4437           statistic_traits,
4438           traits;
4439
4440         Quantum
4441           pixel;
4442
4443         register const Quantum
4444           *restrict pixels;
4445
4446         register ssize_t
4447           u;
4448
4449         ssize_t
4450           v;
4451
4452         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
4453         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
4454         statistic_traits=GetPixelChannelMapTraits(statistic_image,channel);
4455         if ((traits == UndefinedPixelTrait) ||
4456             (statistic_traits == UndefinedPixelTrait))
4457           continue;
4458         if ((statistic_traits & CopyPixelTrait) != 0)
4459           {
4460             q[channel]=p[center+i];
4461             continue;
4462           }
4463         pixels=p;
4464         ResetPixelList(pixel_list[id]);
4465         for (v=0; v < (ssize_t) MagickMax(height,1); v++)
4466         {
4467           for (u=0; u < (ssize_t) MagickMax(width,1); u++)
4468           {
4469             InsertPixelList(image,pixels[i],pixel_list[id]);
4470             pixels+=GetPixelChannels(image);
4471           }
4472           pixels+=image->columns*GetPixelChannels(image);
4473         }
4474         switch (type)
4475         {
4476           case GradientStatistic:
4477           {
4478             MagickRealType
4479               maximum,
4480               minimum;
4481
4482             minimum=(MagickRealType) GetMinimumPixelList(pixel_list[id]);
4483             maximum=(MagickRealType) GetMaximumPixelList(pixel_list[id]);
4484             pixel=ClampToQuantum(MagickAbsoluteValue(maximum-minimum));
4485             break;
4486           }
4487           case MaximumStatistic:
4488           {
4489             pixel=GetMaximumPixelList(pixel_list[id]);
4490             break;
4491           }
4492           case MeanStatistic:
4493           {
4494             pixel=GetMeanPixelList(pixel_list[id]);
4495             break;
4496           }
4497           case MedianStatistic:
4498           default:
4499           {
4500             pixel=GetMedianPixelList(pixel_list[id]);
4501             break;
4502           }
4503           case MinimumStatistic:
4504           {
4505             pixel=GetMinimumPixelList(pixel_list[id]);
4506             break;
4507           }
4508           case ModeStatistic:
4509           {
4510             pixel=GetModePixelList(pixel_list[id]);
4511             break;
4512           }
4513           case NonpeakStatistic:
4514           {
4515             pixel=GetNonpeakPixelList(pixel_list[id]);
4516             break;
4517           }
4518           case StandardDeviationStatistic:
4519           {
4520             pixel=GetStandardDeviationPixelList(pixel_list[id]);
4521             break;
4522           }
4523         }
4524         q[channel]=pixel;
4525       }
4526       p+=GetPixelChannels(image);
4527       q+=GetPixelChannels(statistic_image);
4528     }
4529     if (SyncCacheViewAuthenticPixels(statistic_view,exception) == MagickFalse)
4530       status=MagickFalse;
4531     if (image->progress_monitor != (MagickProgressMonitor) NULL)
4532       {
4533         MagickBooleanType
4534           proceed;
4535
4536 #if defined(MAGICKCORE_OPENMP_SUPPORT)
4537   #pragma omp critical (MagickCore_StatisticImage)
4538 #endif
4539         proceed=SetImageProgress(image,StatisticImageTag,progress++,
4540           image->rows);
4541         if (proceed == MagickFalse)
4542           status=MagickFalse;
4543       }
4544   }
4545   statistic_view=DestroyCacheView(statistic_view);
4546   image_view=DestroyCacheView(image_view);
4547   pixel_list=DestroyPixelListThreadSet(pixel_list);
4548   return(statistic_image);
4549 }
4550 \f
4551 /*
4552 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4553 %                                                                             %
4554 %                                                                             %
4555 %                                                                             %
4556 %     U n s h a r p M a s k I m a g e                                         %
4557 %                                                                             %
4558 %                                                                             %
4559 %                                                                             %
4560 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4561 %
4562 %  UnsharpMaskImage() sharpens one or more image channels.  We convolve the
4563 %  image with a Gaussian operator of the given radius and standard deviation
4564 %  (sigma).  For reasonable results, radius should be larger than sigma.  Use a
4565 %  radius of 0 and UnsharpMaskImage() selects a suitable radius for you.
4566 %
4567 %  The format of the UnsharpMaskImage method is:
4568 %
4569 %    Image *UnsharpMaskImage(const Image *image,const double radius,
4570 %      const double sigma,const double amount,const double threshold,
4571 %      ExceptionInfo *exception)
4572 %
4573 %  A description of each parameter follows:
4574 %
4575 %    o image: the image.
4576 %
4577 %    o radius: the radius of the Gaussian, in pixels, not counting the center
4578 %      pixel.
4579 %
4580 %    o sigma: the standard deviation of the Gaussian, in pixels.
4581 %
4582 %    o amount: the percentage of the difference between the original and the
4583 %      blur image that is added back into the original.
4584 %
4585 %    o threshold: the threshold in pixels needed to apply the diffence amount.
4586 %
4587 %    o exception: return any errors or warnings in this structure.
4588 %
4589 */
4590 MagickExport Image *UnsharpMaskImage(const Image *image,
4591   const double radius,const double sigma,const double amount,
4592   const double threshold,ExceptionInfo *exception)
4593 {
4594 #define SharpenImageTag  "Sharpen/Image"
4595
4596   CacheView
4597     *image_view,
4598     *unsharp_view;
4599
4600   Image
4601     *unsharp_image;
4602
4603   MagickBooleanType
4604     status;
4605
4606   MagickOffsetType
4607     progress;
4608
4609   MagickRealType
4610     quantum_threshold;
4611
4612   ssize_t
4613     y;
4614
4615   assert(image != (const Image *) NULL);
4616   assert(image->signature == MagickSignature);
4617   if (image->debug != MagickFalse)
4618     (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
4619   assert(exception != (ExceptionInfo *) NULL);
4620   unsharp_image=BlurImage(image,radius,sigma,image->bias,exception);
4621   if (unsharp_image == (Image *) NULL)
4622     return((Image *) NULL);
4623   quantum_threshold=(MagickRealType) QuantumRange*threshold;
4624   /*
4625     Unsharp-mask image.
4626   */
4627   status=MagickTrue;
4628   progress=0;
4629   image_view=AcquireCacheView(image);
4630   unsharp_view=AcquireCacheView(unsharp_image);
4631 #if defined(MAGICKCORE_OPENMP_SUPPORT)
4632   #pragma omp parallel for schedule(dynamic,4) shared(progress,status)
4633 #endif
4634   for (y=0; y < (ssize_t) image->rows; y++)
4635   {
4636     register const Quantum
4637       *restrict p;
4638
4639     register Quantum
4640       *restrict q;
4641
4642     register ssize_t
4643       x;
4644
4645     if (status == MagickFalse)
4646       continue;
4647     p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
4648     q=GetCacheViewAuthenticPixels(unsharp_view,0,y,unsharp_image->columns,1,
4649       exception);
4650     if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
4651       {
4652         status=MagickFalse;
4653         continue;
4654       }
4655     for (x=0; x < (ssize_t) image->columns; x++)
4656     {
4657       register ssize_t
4658         i;
4659
4660       for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
4661       {
4662         MagickRealType
4663           pixel;
4664
4665         PixelChannel
4666           channel;
4667
4668         PixelTrait
4669           traits,
4670           unsharp_traits;
4671
4672         traits=GetPixelChannelMapTraits(image,(PixelChannel) i);
4673         channel=GetPixelChannelMapChannel(image,(PixelChannel) i);
4674         unsharp_traits=GetPixelChannelMapTraits(unsharp_image,channel);
4675         if ((traits == UndefinedPixelTrait) ||
4676             (unsharp_traits == UndefinedPixelTrait))
4677           continue;
4678         if ((unsharp_traits & CopyPixelTrait) != 0)
4679           {
4680             q[channel]=p[i];
4681             continue;
4682           }
4683         pixel=p[i]-(MagickRealType) q[channel];
4684         if (fabs(2.0*pixel) < quantum_threshold)
4685           pixel=(MagickRealType) p[i];
4686         else
4687           pixel=(MagickRealType) p[i]+amount*pixel;
4688         q[channel]=ClampToQuantum(pixel);
4689       }
4690       p+=GetPixelChannels(image);
4691       q+=GetPixelChannels(unsharp_image);
4692     }
4693     if (SyncCacheViewAuthenticPixels(unsharp_view,exception) == MagickFalse)
4694       status=MagickFalse;
4695     if (image->progress_monitor != (MagickProgressMonitor) NULL)
4696       {
4697         MagickBooleanType
4698           proceed;
4699
4700 #if defined(MAGICKCORE_OPENMP_SUPPORT)
4701   #pragma omp critical (MagickCore_UnsharpMaskImage)
4702 #endif
4703         proceed=SetImageProgress(image,SharpenImageTag,progress++,image->rows);
4704         if (proceed == MagickFalse)
4705           status=MagickFalse;
4706       }
4707   }
4708   unsharp_image->type=image->type;
4709   unsharp_view=DestroyCacheView(unsharp_view);
4710   image_view=DestroyCacheView(image_view);
4711   if (status == MagickFalse)
4712     unsharp_image=DestroyImage(unsharp_image);
4713   return(unsharp_image);
4714 }