2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13 % Graphic Gems - Graphic Support Methods %
20 % Copyright 1999-2010 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 h=6.0*(hue-floor(hue));
102 f=h-floor((double) h);
103 p=brightness*(1.0-saturation);
104 q=brightness*(1.0-saturation*f);
105 t=brightness*(1.0-(saturation*(1.0-f)));
106 if ((saturation == 0.0) || (p < 0.0))
108 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
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);
222 m2=lightness*(saturation+1.0);
224 m2=(lightness+saturation)-(lightness*saturation);
226 if ((saturation == 0.0) || (m1 < 0.0))
228 *red=ClampToQuantum((MagickRealType) QuantumRange*lightness);
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=(long) 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);
390 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
394 % C o n v e r t R G B T o H S L %
398 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
400 % ConvertRGBToHSL() transforms a (red, green, blue) to a (hue, saturation,
403 % The format of the ConvertRGBToHSL method is:
405 % void ConvertRGBToHSL(const Quantum red,const Quantum green,
406 % const Quantum blue,double *hue,double *saturation,double *lightness)
408 % A description of each parameter follows:
410 % o red, green, blue: A Quantum value representing the red, green, and
411 % blue component of a pixel..
413 % o hue, saturation, lightness: A pointer to a double value representing a
414 % component of the HSL color space.
418 static inline double MagickMax(const double x,const double y)
425 static inline double MagickMin(const double x,const double y)
432 MagickExport void ConvertRGBToHSL(const Quantum red,const Quantum green,
433 const Quantum blue,double *hue,double *saturation,double *lightness)
444 Convert RGB to HSL colorspace.
446 assert(hue != (double *) NULL);
447 assert(saturation != (double *) NULL);
448 assert(lightness != (double *) NULL);
450 g=QuantumScale*green;
452 max=MagickMax(r,MagickMax(g,b));
453 min=MagickMin(r,MagickMin(g,b));
454 *lightness=(double) ((min+max)/2.0);
462 if (*lightness < 0.5)
463 *saturation=(double) (delta/(min+max));
465 *saturation=(double) (delta/(2.0-max-min));
467 *hue=((((max-b)/6.0)+(delta/2.0))-(((max-g)/6.0)+(delta/2.0)))/delta;
470 *hue=(1.0/3.0)+((((max-r)/6.0)+(delta/2.0))-(((max-b)/6.0)+(delta/2.0)))/
474 *hue=(2.0/3.0)+((((max-g)/6.0)+(delta/2.0))-(((max-r)/6.0)+
483 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
487 % C o n v e r t R G B T o H W B %
491 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
493 % ConvertRGBToHWB() transforms a (red, green, blue) to a (hue, whiteness,
496 % The format of the ConvertRGBToHWB method is:
498 % void ConvertRGBToHWB(const Quantum red,const Quantum green,
499 % const Quantum blue,double *hue,double *whiteness,double *blackness)
501 % A description of each parameter follows:
503 % o red, green, blue: A Quantum value representing the red, green, and
504 % blue component of a pixel.
506 % o hue, whiteness, blackness: A pointer to a double value representing a
507 % component of the HWB color space.
510 MagickExport void ConvertRGBToHWB(const Quantum red,const Quantum green,
511 const Quantum blue,double *hue,double *whiteness,double *blackness)
522 Convert RGB to HWB colorspace.
524 assert(hue != (double *) NULL);
525 assert(whiteness != (double *) NULL);
526 assert(blackness != (double *) NULL);
527 w=(MagickRealType) MagickMin((double) red,MagickMin((double) green,(double)
529 v=(MagickRealType) MagickMax((double) red,MagickMax((double) green,(double)
531 *blackness=1.0-QuantumScale*v;
532 *whiteness=QuantumScale*w;
538 f=((MagickRealType) red == w) ? green-(MagickRealType) blue :
539 (((MagickRealType) green == w) ? blue-(MagickRealType) red : red-
540 (MagickRealType) green);
541 i=((MagickRealType) red == w) ? 3 : (((MagickRealType) green == w) ? 5 : 1);
542 *hue=((double) i-f/(v-1.0*w))/6.0;
546 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
550 % E x p a n d A f f i n e %
554 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
556 % ExpandAffine() computes the affine's expansion factor, i.e. the square root
557 % of the factor by which the affine transform affects area. In an affine
558 % transform composed of scaling, rotation, shearing, and translation, returns
559 % the amount of scaling.
561 % The format of the ExpandAffine method is:
563 % double ExpandAffine(const AffineMatrix *affine)
565 % A description of each parameter follows:
567 % o expansion: Method ExpandAffine returns the affine's expansion factor.
569 % o affine: A pointer the affine transform of type AffineMatrix.
572 MagickExport double ExpandAffine(const AffineMatrix *affine)
574 assert(affine != (const AffineMatrix *) NULL);
575 return(sqrt(fabs(affine->sx*affine->sy-affine->rx*affine->ry)));
579 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
583 % 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 %
587 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
589 % GenerateDifferentialNoise() generates differentual noise.
591 % The format of the GenerateDifferentialNoise method is:
593 % double GenerateDifferentialNoise(RandomInfo *random_info,
594 % const Quantum pixel,const NoiseType noise_type,
595 % const MagickRealType attenuate)
597 % A description of each parameter follows:
599 % o random_info: the random info.
601 % o pixel: noise is relative to this pixel value.
603 % o noise_type: the type of noise.
605 % o attenuate: attenuate the noise.
608 MagickExport double GenerateDifferentialNoise(RandomInfo *random_info,
609 const Quantum pixel,const NoiseType noise_type,const MagickRealType attenuate)
611 #define NoiseEpsilon (attenuate*1.0e-5)
612 #define SigmaUniform (attenuate*4.0)
613 #define SigmaGaussian (attenuate*4.0)
614 #define SigmaImpulse (attenuate*0.10)
615 #define SigmaLaplacian (attenuate*10.0)
616 #define SigmaMultiplicativeGaussian (attenuate*1.0)
617 #define SigmaPoisson (attenuate*0.05)
618 #define TauGaussian (attenuate*20.0)
626 alpha=GetPseudoRandomValue(random_info);
632 noise=(double) pixel+ScaleCharToQuantum((unsigned char)
633 (SigmaUniform*(alpha)));
644 beta=GetPseudoRandomValue(random_info);
645 gamma=sqrt(-2.0*log(alpha));
646 sigma=gamma*cos(2.0*MagickPI*beta);
647 tau=gamma*sin(2.0*MagickPI*beta);
648 noise=(double) pixel+sqrt((double) pixel)*SigmaGaussian*sigma+
652 case MultiplicativeGaussianNoise:
654 if (alpha <= NoiseEpsilon)
655 sigma=(double) QuantumRange;
657 sigma=sqrt(-2.0*log(alpha));
658 beta=GetPseudoRandomValue(random_info);
659 noise=(double) pixel+pixel*SigmaMultiplicativeGaussian*sigma/2.0*
660 cos((2.0*MagickPI*beta));
665 if (alpha < (SigmaImpulse/2.0))
668 if (alpha >= (1.0-(SigmaImpulse/2.0)))
669 noise=(double) QuantumRange;
671 noise=(double) pixel;
678 if (alpha <= NoiseEpsilon)
679 noise=(double) pixel-(double) QuantumRange;
681 noise=(double) pixel+ScaleCharToQuantum((unsigned char)
682 (SigmaLaplacian*log((2.0*alpha))+0.5));
686 if (beta <= (0.5*NoiseEpsilon))
687 noise=(double) (pixel+QuantumRange);
689 noise=(double) pixel-ScaleCharToQuantum((unsigned char)
690 (SigmaLaplacian*log((2.0*beta))+0.5));
701 poisson=exp(-SigmaPoisson*ScaleQuantumToChar(pixel));
702 for (i=0; alpha > poisson; i++)
704 beta=GetPseudoRandomValue(random_info);
707 noise=(double) ScaleCharToQuantum((unsigned char) (i/SigmaPoisson));
712 noise=(double) QuantumRange*alpha;
720 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
724 % G e t O p t i m a l K e r n e l W i d t h %
728 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
730 % GetOptimalKernelWidth() computes the optimal kernel radius for a convolution
731 % filter. Start with the minimum value of 3 pixels and walk out until we drop
732 % below the threshold of one pixel numerical accuracy.
734 % The format of the GetOptimalKernelWidth method is:
736 % unsigned long GetOptimalKernelWidth(const double radius,
737 % const double sigma)
739 % A description of each parameter follows:
741 % o width: Method GetOptimalKernelWidth returns the optimal width of
742 % a convolution kernel.
744 % o radius: the radius of the Gaussian, in pixels, not counting the center
747 % o sigma: the standard deviation of the Gaussian, in pixels.
750 MagickExport unsigned long GetOptimalKernelWidth1D(const double radius,
753 #define MagickSigma (fabs(sigma) <= MagickEpsilon ? 1.0 : sigma)
768 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
769 if (radius > MagickEpsilon)
770 return((unsigned long) (2.0*ceil(radius)+1.0));
771 if (fabs(sigma) <= MagickEpsilon)
777 for (i=(-j); i <= j; i++)
778 normalize+=exp(-((double) i*i)/(2.0*MagickSigma*MagickSigma))/
779 (MagickSQ2PI*MagickSigma);
780 value=exp(-((double) j*j)/(2.0*MagickSigma*MagickSigma))/
781 (MagickSQ2PI*MagickSigma)/normalize;
782 if ((value < QuantumScale) || (value < MagickEpsilon))
786 return((unsigned long) (width-2));
789 MagickExport unsigned long GetOptimalKernelWidth2D(const double radius,
804 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
805 if (radius > MagickEpsilon)
806 return((unsigned long) (2.0*ceil(radius)+1.0));
807 if (fabs(sigma) <= MagickEpsilon)
813 for (v=(-j); v <= j; v++)
815 for (u=(-j); u <= j; u++)
816 normalize+=exp(-((double) u*u+v*v)/(2.0*MagickSigma*MagickSigma))/
817 (2.0*MagickPI*MagickSigma*MagickSigma);
819 value=exp(-((double) j*j)/(2.0*MagickSigma*MagickSigma))/normalize;
820 if ((value < QuantumScale) || (value < MagickEpsilon))
824 return((unsigned long) (width-2));
827 MagickExport unsigned long GetOptimalKernelWidth(const double radius,
830 return(GetOptimalKernelWidth1D(radius,sigma));