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 "MagickCore/studio.h"
44 #include "MagickCore/color-private.h"
45 #include "MagickCore/draw.h"
46 #include "MagickCore/gem.h"
47 #include "MagickCore/gem-private.h"
48 #include "MagickCore/image.h"
49 #include "MagickCore/image-private.h"
50 #include "MagickCore/log.h"
51 #include "MagickCore/memory_.h"
52 #include "MagickCore/pixel-accessor.h"
53 #include "MagickCore/quantum.h"
54 #include "MagickCore/quantum-private.h"
55 #include "MagickCore/random_.h"
56 #include "MagickCore/resize.h"
57 #include "MagickCore/transform.h"
58 #include "MagickCore/signature-private.h"
61 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
65 % C o n v e r t H S B T o R G B %
69 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
71 % ConvertHSBToRGB() transforms a (hue, saturation, brightness) to a (red,
72 % green, blue) triple.
74 % The format of the ConvertHSBToRGBImage method is:
76 % void ConvertHSBToRGB(const double hue,const double saturation,
77 % const double brightness,Quantum *red,Quantum *green,Quantum *blue)
79 % A description of each parameter follows:
81 % o hue, saturation, brightness: A double value representing a
82 % component of the HSB color space.
84 % o red, green, blue: A pointer to a pixel component of type Quantum.
87 MagickPrivate void ConvertHSBToRGB(const double hue,const double saturation,
88 const double brightness,Quantum *red,Quantum *green,Quantum *blue)
98 Convert HSB to RGB colorspace.
100 assert(red != (Quantum *) NULL);
101 assert(green != (Quantum *) NULL);
102 assert(blue != (Quantum *) NULL);
103 if (saturation == 0.0)
105 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
110 h=6.0*(hue-floor(hue));
111 f=h-floor((double) h);
112 p=brightness*(1.0-saturation);
113 q=brightness*(1.0-saturation*f);
114 t=brightness*(1.0-(saturation*(1.0-f)));
120 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
121 *green=ClampToQuantum((MagickRealType) QuantumRange*t);
122 *blue=ClampToQuantum((MagickRealType) QuantumRange*p);
127 *red=ClampToQuantum((MagickRealType) QuantumRange*q);
128 *green=ClampToQuantum((MagickRealType) QuantumRange*brightness);
129 *blue=ClampToQuantum((MagickRealType) QuantumRange*p);
134 *red=ClampToQuantum((MagickRealType) QuantumRange*p);
135 *green=ClampToQuantum((MagickRealType) QuantumRange*brightness);
136 *blue=ClampToQuantum((MagickRealType) QuantumRange*t);
141 *red=ClampToQuantum((MagickRealType) QuantumRange*p);
142 *green=ClampToQuantum((MagickRealType) QuantumRange*q);
143 *blue=ClampToQuantum((MagickRealType) QuantumRange*brightness);
148 *red=ClampToQuantum((MagickRealType) QuantumRange*t);
149 *green=ClampToQuantum((MagickRealType) QuantumRange*p);
150 *blue=ClampToQuantum((MagickRealType) QuantumRange*brightness);
155 *red=ClampToQuantum((MagickRealType) QuantumRange*brightness);
156 *green=ClampToQuantum((MagickRealType) QuantumRange*p);
157 *blue=ClampToQuantum((MagickRealType) QuantumRange*q);
164 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
168 % C o n v e r t H S L T o R G B %
172 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
174 % ConvertHSLToRGB() transforms a (hue, saturation, lightness) to a (red,
175 % green, blue) triple.
177 % The format of the ConvertHSLToRGBImage method is:
179 % void ConvertHSLToRGB(const double hue,const double saturation,
180 % const double lightness,Quantum *red,Quantum *green,Quantum *blue)
182 % A description of each parameter follows:
184 % o hue, saturation, lightness: A double value representing a
185 % component of the HSL color space.
187 % o red, green, blue: A pointer to a pixel component of type Quantum.
191 static inline MagickRealType ConvertHueToRGB(MagickRealType m1,
192 MagickRealType m2,MagickRealType hue)
199 return(m1+6.0*(m2-m1)*hue);
203 return(m1+6.0*(m2-m1)*(2.0/3.0-hue));
207 MagickExport void ConvertHSLToRGB(const double hue,const double saturation,
208 const double lightness,Quantum *red,Quantum *green,Quantum *blue)
218 Convert HSL to RGB colorspace.
220 assert(red != (Quantum *) NULL);
221 assert(green != (Quantum *) NULL);
222 assert(blue != (Quantum *) NULL);
225 *red=ClampToQuantum((MagickRealType) QuantumRange*lightness);
231 m2=lightness*(saturation+1.0);
233 m2=(lightness+saturation)-(lightness*saturation);
235 r=ConvertHueToRGB(m1,m2,hue+1.0/3.0);
236 g=ConvertHueToRGB(m1,m2,hue);
237 b=ConvertHueToRGB(m1,m2,hue-1.0/3.0);
238 *red=ClampToQuantum((MagickRealType) QuantumRange*r);
239 *green=ClampToQuantum((MagickRealType) QuantumRange*g);
240 *blue=ClampToQuantum((MagickRealType) QuantumRange*b);
244 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
248 % C o n v e r t H W B T o R G B %
252 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
254 % ConvertHWBToRGB() transforms a (hue, whiteness, blackness) to a (red, green,
257 % The format of the ConvertHWBToRGBImage method is:
259 % void ConvertHWBToRGB(const double hue,const double whiteness,
260 % const double blackness,Quantum *red,Quantum *green,Quantum *blue)
262 % A description of each parameter follows:
264 % o hue, whiteness, blackness: A double value representing a
265 % component of the HWB color space.
267 % o red, green, blue: A pointer to a pixel component of type Quantum.
270 MagickPrivate void ConvertHWBToRGB(const double hue,const double whiteness,
271 const double blackness,Quantum *red,Quantum *green,Quantum *blue)
285 Convert HWB to RGB colorspace.
287 assert(red != (Quantum *) NULL);
288 assert(green != (Quantum *) NULL);
289 assert(blue != (Quantum *) NULL);
293 *red=ClampToQuantum((MagickRealType) QuantumRange*v);
294 *green=ClampToQuantum((MagickRealType) QuantumRange*v);
295 *blue=ClampToQuantum((MagickRealType) QuantumRange*v);
298 i=(ssize_t) floor(6.0*hue);
302 n=whiteness+f*(v-whiteness); /* linear interpolation */
307 case 0: r=v; g=n; b=whiteness; break;
308 case 1: r=n; g=v; b=whiteness; break;
309 case 2: r=whiteness; g=v; b=n; break;
310 case 3: r=whiteness; g=n; b=v; break;
311 case 4: r=n; g=whiteness; b=v; break;
312 case 5: r=v; g=whiteness; b=n; break;
314 *red=ClampToQuantum((MagickRealType) QuantumRange*r);
315 *green=ClampToQuantum((MagickRealType) QuantumRange*g);
316 *blue=ClampToQuantum((MagickRealType) QuantumRange*b);
320 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
324 % C o n v e r t R G B T o H S B %
328 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
330 % ConvertRGBToHSB() transforms a (red, green, blue) to a (hue, saturation,
331 % brightness) triple.
333 % The format of the ConvertRGBToHSB method is:
335 % void ConvertRGBToHSB(const Quantum red,const Quantum green,
336 % const Quantum blue,double *hue,double *saturation,double *brightness)
338 % A description of each parameter follows:
340 % o red, green, blue: A Quantum value representing the red, green, and
341 % blue component of a pixel..
343 % o hue, saturation, brightness: A pointer to a double value representing a
344 % component of the HSB color space.
347 MagickPrivate void ConvertRGBToHSB(const Quantum red,const Quantum green,
348 const Quantum blue,double *hue,double *saturation,double *brightness)
356 Convert RGB to HSB colorspace.
358 assert(hue != (double *) NULL);
359 assert(saturation != (double *) NULL);
360 assert(brightness != (double *) NULL);
364 min=(MagickRealType) (red < green ? red : green);
365 if ((MagickRealType) blue < min)
366 min=(MagickRealType) blue;
367 max=(MagickRealType) (red > green ? red : green);
368 if ((MagickRealType) blue > max)
369 max=(MagickRealType) blue;
373 *saturation=(double) (delta/max);
374 *brightness=(double) (QuantumScale*max);
377 if ((MagickRealType) red == max)
378 *hue=(double) ((green-(MagickRealType) blue)/delta);
380 if ((MagickRealType) green == max)
381 *hue=(double) (2.0+(blue-(MagickRealType) red)/delta);
383 *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 MagickPrivate 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 MagickPrivate 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((double) (2.0*MagickPI*beta));
647 tau=gamma*sin((double) (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((double) (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 % size_t 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 MagickPrivate size_t GetOptimalKernelWidth1D(const double radius,
769 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
770 if (radius > MagickEpsilon)
771 return((size_t) (2.0*ceil(radius)+1.0));
773 if (gamma <= MagickEpsilon)
775 alpha=1.0/(2.0*gamma*gamma);
776 beta=(double) (1.0/(MagickSQ2PI*gamma));
781 for (i=(-j); i <= j; i++)
782 normalize+=exp(-((double) (i*i))*alpha)*beta;
783 value=exp(-((double) (j*j))*alpha)*beta/normalize;
784 if ((value < QuantumScale) || (value < MagickEpsilon))
788 return((size_t) (width-2));
791 MagickPrivate size_t GetOptimalKernelWidth2D(const double radius,
809 (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
810 if (radius > MagickEpsilon)
811 return((size_t) (2.0*ceil(radius)+1.0));
813 if (gamma <= MagickEpsilon)
815 alpha=1.0/(2.0*gamma*gamma);
816 beta=(double) (1.0/(Magick2PI*gamma*gamma));
821 for (v=(-j); v <= j; v++)
822 for (u=(-j); u <= j; u++)
823 normalize+=exp(-((double) (u*u+v*v))*alpha)*beta;
824 value=exp(-((double) (j*j))*alpha)*beta/normalize;
825 if ((value < QuantumScale) || (value < MagickEpsilon))
829 return((size_t) (width-2));
832 MagickPrivate size_t GetOptimalKernelWidth(const double radius,
835 return(GetOptimalKernelWidth1D(radius,sigma));