2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13 % Graphic Gems - Graphic Support Methods %
20 % Copyright 1999-2011 ImageMagick Studio LLC, a non-profit organization %
21 % dedicated to making software imaging solutions freely available. %
23 % You may not use this file except in compliance with the License. You may %
24 % obtain a copy of the License at %
26 % http://www.imagemagick.org/script/license.php %
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. %
34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
43 #include "magick/studio.h"
44 #include "magick/color-private.h"
45 #include "magick/draw.h"
46 #include "magick/gem.h"
47 #include "magick/image.h"
48 #include "magick/image-private.h"
49 #include "magick/log.h"
50 #include "magick/memory_.h"
51 #include "magick/pixel-private.h"
52 #include "magick/quantum.h"
53 #include "magick/random_.h"
54 #include "magick/resize.h"
55 #include "magick/transform.h"
56 #include "magick/signature-private.h"
59 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
63 % C o n v e r t H S B T o R G B %
67 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
69 % ConvertHSBToRGB() transforms a (hue, saturation, brightness) to a (red,
70 % green, blue) triple.
72 % The format of the ConvertHSBToRGBImage method is:
74 % void ConvertHSBToRGB(const double hue,const double saturation,
75 % const double brightness,Quantum *red,Quantum *green,Quantum *blue)
77 % A description of each parameter follows:
79 % o hue, saturation, brightness: A double value representing a
80 % component of the HSB color space.
82 % o red, green, blue: A pointer to a pixel component of type Quantum.
85 MagickExport void ConvertHSBToRGB(const double hue,const double saturation,
86 const double brightness,Quantum *red,Quantum *green,Quantum *blue)
96 Convert HSB to RGB colorspace.
98 assert(red != (Quantum *) NULL);
99 assert(green != (Quantum *) NULL);
100 assert(blue != (Quantum *) NULL);
101 if (saturation == 0.0)
103 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
108 h=6.0*(hue-floor(hue));
109 f=h-floor((double) h);
110 p=brightness*(1.0-saturation);
111 q=brightness*(1.0-saturation*f);
112 t=brightness*(1.0-(saturation*(1.0-f)));
118 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
119 *green=ClampToQuantum((MagickRealType) QuantumRange*t);
120 *blue=ClampToQuantum((MagickRealType) QuantumRange*p);
125 *red=ClampToQuantum((MagickRealType) QuantumRange*q);
126 *green=ClampToQuantum((MagickRealType) QuantumRange*brightness);
127 *blue=ClampToQuantum((MagickRealType) QuantumRange*p);
132 *red=ClampToQuantum((MagickRealType) QuantumRange*p);
133 *green=ClampToQuantum((MagickRealType) QuantumRange*brightness);
134 *blue=ClampToQuantum((MagickRealType) QuantumRange*t);
139 *red=ClampToQuantum((MagickRealType) QuantumRange*p);
140 *green=ClampToQuantum((MagickRealType) QuantumRange*q);
141 *blue=ClampToQuantum((MagickRealType) QuantumRange*brightness);
146 *red=ClampToQuantum((MagickRealType) QuantumRange*t);
147 *green=ClampToQuantum((MagickRealType) QuantumRange*p);
148 *blue=ClampToQuantum((MagickRealType) QuantumRange*brightness);
153 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
154 *green=ClampToQuantum((MagickRealType) QuantumRange*p);
155 *blue=ClampToQuantum((MagickRealType) QuantumRange*q);
162 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
166 % C o n v e r t H S L T o R G B %
170 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
172 % ConvertHSLToRGB() transforms a (hue, saturation, lightness) to a (red,
173 % green, blue) triple.
175 % The format of the ConvertHSLToRGBImage method is:
177 % void ConvertHSLToRGB(const double hue,const double saturation,
178 % const double lightness,Quantum *red,Quantum *green,Quantum *blue)
180 % A description of each parameter follows:
182 % o hue, saturation, lightness: A double value representing a
183 % component of the HSL color space.
185 % o red, green, blue: A pointer to a pixel component of type Quantum.
189 static inline MagickRealType ConvertHueToRGB(MagickRealType m1,
190 MagickRealType m2,MagickRealType hue)
197 return(m1+6.0*(m2-m1)*hue);
201 return(m1+6.0*(m2-m1)*(2.0/3.0-hue));
205 MagickExport void ConvertHSLToRGB(const double hue,const double saturation,
206 const double lightness,Quantum *red,Quantum *green,Quantum *blue)
216 Convert HSL to RGB colorspace.
218 assert(red != (Quantum *) NULL);
219 assert(green != (Quantum *) NULL);
220 assert(blue != (Quantum *) NULL);
223 *red=ClampToQuantum((MagickRealType) QuantumRange*lightness);
229 m2=lightness*(saturation+1.0);
231 m2=(lightness+saturation)-(lightness*saturation);
233 r=ConvertHueToRGB(m1,m2,hue+1.0/3.0);
234 g=ConvertHueToRGB(m1,m2,hue);
235 b=ConvertHueToRGB(m1,m2,hue-1.0/3.0);
236 *red=ClampToQuantum((MagickRealType) QuantumRange*r);
237 *green=ClampToQuantum((MagickRealType) QuantumRange*g);
238 *blue=ClampToQuantum((MagickRealType) QuantumRange*b);
242 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
246 % C o n v e r t H W B T o R G B %
250 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
252 % ConvertHWBToRGB() transforms a (hue, whiteness, blackness) to a (red, green,
255 % The format of the ConvertHWBToRGBImage method is:
257 % void ConvertHWBToRGB(const double hue,const double whiteness,
258 % const double blackness,Quantum *red,Quantum *green,Quantum *blue)
260 % A description of each parameter follows:
262 % o hue, whiteness, blackness: A double value representing a
263 % component of the HWB color space.
265 % o red, green, blue: A pointer to a pixel component of type Quantum.
268 MagickExport void ConvertHWBToRGB(const double hue,const double whiteness,
269 const double blackness,Quantum *red,Quantum *green,Quantum *blue)
283 Convert HWB to RGB colorspace.
285 assert(red != (Quantum *) NULL);
286 assert(green != (Quantum *) NULL);
287 assert(blue != (Quantum *) NULL);
291 *red=ClampToQuantum((MagickRealType) QuantumRange*v);
292 *green=ClampToQuantum((MagickRealType) QuantumRange*v);
293 *blue=ClampToQuantum((MagickRealType) QuantumRange*v);
296 i=(ssize_t) floor(6.0*hue);
300 n=whiteness+f*(v-whiteness); /* linear interpolation */
305 case 0: r=v; g=n; b=whiteness; break;
306 case 1: r=n; g=v; b=whiteness; break;
307 case 2: r=whiteness; g=v; b=n; break;
308 case 3: r=whiteness; g=n; b=v; break;
309 case 4: r=n; g=whiteness; b=v; break;
310 case 5: r=v; g=whiteness; b=n; break;
312 *red=ClampToQuantum((MagickRealType) QuantumRange*r);
313 *green=ClampToQuantum((MagickRealType) QuantumRange*g);
314 *blue=ClampToQuantum((MagickRealType) QuantumRange*b);
318 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
322 % C o n v e r t R G B T o H S B %
326 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
328 % ConvertRGBToHSB() transforms a (red, green, blue) to a (hue, saturation,
329 % brightness) triple.
331 % The format of the ConvertRGBToHSB method is:
333 % void ConvertRGBToHSB(const Quantum red,const Quantum green,
334 % const Quantum blue,double *hue,double *saturation,double *brightness)
336 % A description of each parameter follows:
338 % o red, green, blue: A Quantum value representing the red, green, and
339 % blue component of a pixel..
341 % o hue, saturation, brightness: A pointer to a double value representing a
342 % component of the HSB color space.
345 MagickExport void ConvertRGBToHSB(const Quantum red,const Quantum green,
346 const Quantum blue,double *hue,double *saturation,double *brightness)
354 Convert RGB to HSB colorspace.
356 assert(hue != (double *) NULL);
357 assert(saturation != (double *) NULL);
358 assert(brightness != (double *) NULL);
362 min=(MagickRealType) (red < green ? red : green);
363 if ((MagickRealType) blue < min)
364 min=(MagickRealType) blue;
365 max=(MagickRealType) (red > green ? red : green);
366 if ((MagickRealType) blue > max)
367 max=(MagickRealType) blue;
371 *saturation=(double) (delta/max);
372 *brightness=(double) (QuantumScale*max);
375 if ((MagickRealType) red == max)
376 *hue=(double) ((green-(MagickRealType) blue)/delta);
378 if ((MagickRealType) green == max)
379 *hue=(double) (2.0+(blue-(MagickRealType) red)/delta);
381 *hue=(double) (4.0+(red-(MagickRealType) green)/delta);
388 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
392 % C o n v e r t R G B T o H S L %
396 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
398 % ConvertRGBToHSL() transforms a (red, green, blue) to a (hue, saturation,
401 % The format of the ConvertRGBToHSL method is:
403 % void ConvertRGBToHSL(const Quantum red,const Quantum green,
404 % const Quantum blue,double *hue,double *saturation,double *lightness)
406 % A description of each parameter follows:
408 % o red, green, blue: A Quantum value representing the red, green, and
409 % blue component of a pixel..
411 % o hue, saturation, lightness: A pointer to a double value representing a
412 % component of the HSL color space.
416 static inline double MagickMax(const double x,const double y)
423 static inline double MagickMin(const double x,const double y)
430 MagickExport void ConvertRGBToHSL(const Quantum red,const Quantum green,
431 const Quantum blue,double *hue,double *saturation,double *lightness)
442 Convert RGB to HSL colorspace.
444 assert(hue != (double *) NULL);
445 assert(saturation != (double *) NULL);
446 assert(lightness != (double *) NULL);
448 g=QuantumScale*green;
450 max=MagickMax(r,MagickMax(g,b));
451 min=MagickMin(r,MagickMin(g,b));
452 *lightness=(double) ((min+max)/2.0);
460 if (*lightness < 0.5)
461 *saturation=(double) (delta/(min+max));
463 *saturation=(double) (delta/(2.0-max-min));
465 *hue=((((max-b)/6.0)+(delta/2.0))-(((max-g)/6.0)+(delta/2.0)))/delta;
468 *hue=(1.0/3.0)+((((max-r)/6.0)+(delta/2.0))-(((max-b)/6.0)+(delta/2.0)))/
472 *hue=(2.0/3.0)+((((max-g)/6.0)+(delta/2.0))-(((max-r)/6.0)+
481 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
485 % C o n v e r t R G B T o H W B %
489 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
491 % ConvertRGBToHWB() transforms a (red, green, blue) to a (hue, whiteness,
494 % The format of the ConvertRGBToHWB method is:
496 % void ConvertRGBToHWB(const Quantum red,const Quantum green,
497 % const Quantum blue,double *hue,double *whiteness,double *blackness)
499 % A description of each parameter follows:
501 % o red, green, blue: A Quantum value representing the red, green, and
502 % blue component of a pixel.
504 % o hue, whiteness, blackness: A pointer to a double value representing a
505 % component of the HWB color space.
508 MagickExport void ConvertRGBToHWB(const Quantum red,const Quantum green,
509 const Quantum blue,double *hue,double *whiteness,double *blackness)
520 Convert RGB to HWB colorspace.
522 assert(hue != (double *) NULL);
523 assert(whiteness != (double *) NULL);
524 assert(blackness != (double *) NULL);
525 w=(MagickRealType) MagickMin((double) red,MagickMin((double) green,(double)
527 v=(MagickRealType) MagickMax((double) red,MagickMax((double) green,(double)
529 *blackness=1.0-QuantumScale*v;
530 *whiteness=QuantumScale*w;
536 f=((MagickRealType) red == w) ? green-(MagickRealType) blue :
537 (((MagickRealType) green == w) ? blue-(MagickRealType) red : red-
538 (MagickRealType) green);
539 i=((MagickRealType) red == w) ? 3 : (((MagickRealType) green == w) ? 5 : 1);
540 *hue=((double) i-f/(v-1.0*w))/6.0;
544 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
548 % E x p a n d A f f i n e %
552 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
554 % ExpandAffine() computes the affine's expansion factor, i.e. the square root
555 % of the factor by which the affine transform affects area. In an affine
556 % transform composed of scaling, rotation, shearing, and translation, returns
557 % the amount of scaling.
559 % The format of the ExpandAffine method is:
561 % double ExpandAffine(const AffineMatrix *affine)
563 % A description of each parameter follows:
565 % o expansion: Method ExpandAffine returns the affine's expansion factor.
567 % o affine: A pointer the affine transform of type AffineMatrix.
570 MagickExport double ExpandAffine(const AffineMatrix *affine)
572 assert(affine != (const AffineMatrix *) NULL);
573 return(sqrt(fabs(affine->sx*affine->sy-affine->rx*affine->ry)));
577 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
581 % G e n e r a t e D i f f e r e n t i a l N o i s e %
585 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
587 % GenerateDifferentialNoise() generates differentual noise.
589 % The format of the GenerateDifferentialNoise method is:
591 % double GenerateDifferentialNoise(RandomInfo *random_info,
592 % const Quantum pixel,const NoiseType noise_type,
593 % const MagickRealType attenuate)
595 % A description of each parameter follows:
597 % o random_info: the random info.
599 % o pixel: noise is relative to this pixel value.
601 % o noise_type: the type of noise.
603 % o attenuate: attenuate the noise.
606 MagickExport double GenerateDifferentialNoise(RandomInfo *random_info,
607 const Quantum pixel,const NoiseType noise_type,const MagickRealType attenuate)
609 #define NoiseEpsilon (attenuate*1.0e-5)
610 #define SigmaUniform (attenuate*4.0)
611 #define SigmaGaussian (attenuate*4.0)
612 #define SigmaImpulse (attenuate*0.10)
613 #define SigmaLaplacian (attenuate*10.0)
614 #define SigmaMultiplicativeGaussian (attenuate*1.0)
615 #define SigmaPoisson (attenuate*0.05)
616 #define TauGaussian (attenuate*20.0)
624 alpha=GetPseudoRandomValue(random_info);
630 noise=(double) pixel+ScaleCharToQuantum((unsigned char)
631 (SigmaUniform*(alpha)));
642 beta=GetPseudoRandomValue(random_info);
643 gamma=sqrt(-2.0*log(alpha));
644 sigma=gamma*cos((double) (2.0*MagickPI*beta));
645 tau=gamma*sin((double) (2.0*MagickPI*beta));
646 noise=(double) pixel+sqrt((double) pixel)*SigmaGaussian*sigma+
650 case MultiplicativeGaussianNoise:
652 if (alpha <= NoiseEpsilon)
653 sigma=(double) QuantumRange;
655 sigma=sqrt(-2.0*log(alpha));
656 beta=GetPseudoRandomValue(random_info);
657 noise=(double) pixel+pixel*SigmaMultiplicativeGaussian*sigma/2.0*
658 cos((double) (2.0*MagickPI*beta));
663 if (alpha < (SigmaImpulse/2.0))
666 if (alpha >= (1.0-(SigmaImpulse/2.0)))
667 noise=(double) QuantumRange;
669 noise=(double) pixel;
676 if (alpha <= NoiseEpsilon)
677 noise=(double) pixel-(double) QuantumRange;
679 noise=(double) pixel+ScaleCharToQuantum((unsigned char)
680 (SigmaLaplacian*log((2.0*alpha))+0.5));
684 if (beta <= (0.5*NoiseEpsilon))
685 noise=(double) (pixel+QuantumRange);
687 noise=(double) pixel-ScaleCharToQuantum((unsigned char)
688 (SigmaLaplacian*log((2.0*beta))+0.5));
699 poisson=exp(-SigmaPoisson*ScaleQuantumToChar(pixel));
700 for (i=0; alpha > poisson; i++)
702 beta=GetPseudoRandomValue(random_info);
705 noise=(double) ScaleCharToQuantum((unsigned char) (i/SigmaPoisson));
710 noise=(double) QuantumRange*alpha;
718 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
722 % G e t O p t i m a l K e r n e l W i d t h %
726 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
728 % GetOptimalKernelWidth() computes the optimal kernel radius for a convolution
729 % filter. Start with the minimum value of 3 pixels and walk out until we drop
730 % below the threshold of one pixel numerical accuracy.
732 % The format of the GetOptimalKernelWidth method is:
734 % size_t GetOptimalKernelWidth(const double radius,
735 % const double sigma)
737 % A description of each parameter follows:
739 % o width: Method GetOptimalKernelWidth returns the optimal width of
740 % a convolution kernel.
742 % o radius: the radius of the Gaussian, in pixels, not counting the center
745 % o sigma: the standard deviation of the Gaussian, in pixels.
748 MagickExport size_t GetOptimalKernelWidth1D(const double radius,
767 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
768 if (radius > MagickEpsilon)
769 return((size_t) (2.0*ceil(radius)+1.0));
771 if (gamma <= MagickEpsilon)
773 alpha=1.0/(2.0*gamma*gamma);
774 beta=(double) (1.0/(MagickSQ2PI*gamma));
779 for (i=(-j); i <= j; i++)
780 normalize+=exp(-((double) (i*i))*alpha)*beta;
781 value=exp(-((double) (j*j))*alpha)*beta/normalize;
782 if ((value < QuantumScale) || (value < MagickEpsilon))
786 return((size_t) (width-2));
789 MagickExport size_t GetOptimalKernelWidth2D(const double radius,
807 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
808 if (radius > MagickEpsilon)
809 return((size_t) (2.0*ceil(radius)+1.0));
811 if (gamma <= MagickEpsilon)
813 alpha=1.0/(2.0*gamma*gamma);
814 beta=(double) (1.0/(Magick2PI*gamma*gamma));
819 for (v=(-j); v <= j; v++)
820 for (u=(-j); u <= j; u++)
821 normalize+=exp(-((double) (u*u+v*v))*alpha)*beta;
822 value=exp(-((double) (j*j))*alpha)*beta/normalize;
823 if ((value < QuantumScale) || (value < MagickEpsilon))
827 return((size_t) (width-2));
830 MagickExport size_t GetOptimalKernelWidth(const double radius,
833 return(GetOptimalKernelWidth1D(radius,sigma));