From 5a422aba704c375a307a902bafe658342e209906 Mon Sep 17 00:00:00 2001 From: scuri Date: Fri, 17 Oct 2008 06:10:15 +0000 Subject: First commit - moving from LuaForge to SourceForge --- include/im_color.h | 465 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 465 insertions(+) create mode 100644 include/im_color.h (limited to 'include/im_color.h') diff --git a/include/im_color.h b/include/im_color.h new file mode 100644 index 0000000..b38b22c --- /dev/null +++ b/include/im_color.h @@ -0,0 +1,465 @@ +/** \file + * \brief Color Manipulation + * + * See Copyright Notice in im_lib.h + */ + +#ifndef __IM_COLOR_H +#define __IM_COLOR_H + +#include "im_math.h" + +/** \defgroup color Color Manipulation + * + * \par + * Functions to convert from one color space to another, + * and color gammut utilities. + * \par + * See \ref im_color.h + * + * \section s1 Some Color Science + * \par + * Y is luminance, a linear-light quantity. + * It is directly proportional to physical intensity + * weighted by the spectral sensitivity of human vision. + * \par + * L* is lightness, a nonlinear luminance + * that aproximates the perception of brightness. + * It is nearly perceptual uniform. + * It has a range of 0 to 100. + * \par + * Y' is luma, a nonlinear luminance that aproximates lightness. + * \par + * Brightness is a visual sensation according to which an area + * apears to exhibit more or less light. + * It is a subjective quantity and can not be measured. + * \par + * One unit of euclidian distante in CIE L*u*v* or CIE L*a*b* corresponds + * roughly to a just-noticeable difference (JND) of color. + * \par +\verbatim + ChromaUV = sqrt(u*u + v*v) + HueUV = atan2(v, u) + SaturationUV = ChromaUV / L (called psychometric saturation) + (the same can be calculated for Lab) +\endverbatim + * \par + * IEC 61966-2.1 Default RGB colour space - sRGB + * \li ITU-R Recommendation BT.709 (D65 white point). + * \li D65 White Point (X,Y,Z) = (0.9505 1.0000 1.0890) + * \par + * Documentation extracted from Charles Poynton - Digital Video and HDTV - Morgan Kaufmann - 2003. + * + * \section Links + * \li www.color.org - ICC + * \li www.srgb.com - sRGB + * \li www.poynton.com - Charles Poynton + * \li www.littlecms.com - A free Color Management System (use this if you need precise color conversions) + * + * \section cci Color Component Intervals + * \par + * All the color components are stored in the 0-max interval, even the signed ones. \n + * Here are the pre-defined intervals for each data type. These values are used for standard color conversion. + * You should normalize data before converting betwwen color spaces. + * \par +\verbatim + byte [0,255] or [-128,+127] (1 byte) + ushort [0,65535] or [-32768,+32767] (2 bytes) + int [0,16777215] or [-8388608,+8388607] (3 bytes) + float [0,1] or [-0.5,+0.5] (4 bytes) +\endverbatim + * \ingroup util */ + +/** Returns the zero value for color conversion porpouses. \n + * This is a value to be compensated when the data_type is unsigned and component is signed. \n + * \ingroup color */ +inline float imColorZero(int data_type) +{ + float zero[] = {128.0f, 32768.0f, 8388608.0f, 0.5f}; + return zero[data_type]; +} + +/** Returns the maximum value for color conversion porpouses. \n + * \ingroup color */ +inline int imColorMax(int data_type) +{ + int max[] = {255, 65535, 16777215, 1}; + return max[data_type]; +} + +/** Quantize r=0-1 values into q=0-max. + * max is the maximum value. + * max and the returned value are usually integers, + * but the dummy quantizer uses real values. + * See also \ref math. + * \ingroup color */ +template +inline T imColorQuantize(const float& value, const T& max) +{ + if (max == 1) return (T)value; // to allow a dummy quantizer + if (value >= 1) return max; + if (value <= 0) return 0; + /* return (T)imRound(value*(max + 1) - 0.5f); not necessary since all values are positive */ + return (T)(value*(max + 1)); +} + +/** Reconstruct 0-max values into 0-1. \n + * max is the maximum value. + * max and the given value are usually integers, + * but the dummy reconstructor uses real values. + * See also \ref math. + * \ingroup color */ +template +inline float imColorReconstruct(const T& value, const T& max) +{ + if (max == 1) return (float)value; // to allow a dummy reconstructor + if (value <= 0) return 0; + if (value >= max) return 1; + return (((float)value + 0.5f)/((float)max + 1.0f)); +} + +/** Converts Y'CbCr to R'G'B' (all nonlinear). \n + * ITU-R Recommendation 601-1 with no headroom/footroom. +\verbatim + 0 <= Y <= 1 ; -0.5 <= CbCr <= 0.5 ; 0 <= RGB <= 1 + + R'= Y' + 0.000 *Cb + 1.402 *Cr + G'= Y' - 0.344 *Cb - 0.714 *Cr + B'= Y' + 1.772 *Cb + 0.000 *Cr +\endverbatim + * \ingroup color */ +template +inline void imColorYCbCr2RGB(const T Y, const T Cb, const T Cr, + T& R, T& G, T& B, + const T& zero, const T& max) +{ + float r = float(Y + 1.402f * (Cr - zero)); + float g = float(Y - 0.344f * (Cb - zero) - 0.714f * (Cr - zero)); + float b = float(Y + 1.772f * (Cb - zero)); + + // now we should enforce 0<= rgb <= max + + R = (T)IM_CROPMAX(r, max); + G = (T)IM_CROPMAX(g, max); + B = (T)IM_CROPMAX(b, max); +} + +/** Converts R'G'B' to Y'CbCr (all nonlinear). \n + * ITU-R Recommendation 601-1 with no headroom/footroom. +\verbatim + 0 <= Y <= 1 ; -0.5 <= CbCr <= 0.5 ; 0 <= RGB <= 1 + + Y' = 0.299 *R' + 0.587 *G' + 0.114 *B' + Cb = -0.169 *R' - 0.331 *G' + 0.500 *B' + Cr = 0.500 *R' - 0.419 *G' - 0.081 *B' +\endverbatim + * \ingroup color */ +template +inline void imColorRGB2YCbCr(const T R, const T G, const T B, + T& Y, T& Cb, T& Cr, + const T& zero) +{ + Y = (T)( 0.299f *R + 0.587f *G + 0.114f *B); + Cb = (T)(-0.169f *R - 0.331f *G + 0.500f *B + (float)zero); + Cr = (T)( 0.500f *R - 0.419f *G - 0.081f *B + (float)zero); + + // there is no need for cropping here, YCrCr is already at the limits +} + +/** Converts C'M'Y'K' to R'G'B' (all nonlinear). \n + * This is a poor conversion that works for a simple visualization. +\verbatim + 0 <= CMYK <= 1 ; 0 <= RGB <= 1 + + R = (1 - K) * (1 - C) + G = (1 - K) * (1 - M) + B = (1 - K) * (1 - Y) +\endverbatim + * \ingroup color */ +template +inline void imColorCMYK2RGB(const T C, const T M, const T Y, const T K, + T& R, T& G, T& B, const T& max) +{ + T W = max - K; + R = (T)((W * (max - C)) / max); + G = (T)((W * (max - M)) / max); + B = (T)((W * (max - Y)) / max); + + // there is no need for cropping here, RGB is already at the limits +} + +/** Converts CIE XYZ to Rec 709 RGB (all linear). \n + * ITU-R Recommendation BT.709 (D65 white point). \n +\verbatim + 0 <= XYZ <= 1 ; 0 <= RGB <= 1 + + R = 3.2406 *X - 1.5372 *Y - 0.4986 *Z + G = -0.9689 *X + 1.8758 *Y + 0.0415 *Z + B = 0.0557 *X - 0.2040 *Y + 1.0570 *Z +\endverbatim + * \ingroup color */ +template +inline void imColorXYZ2RGB(const T X, const T Y, const T Z, + T& R, T& G, T& B, const T& max) +{ + float r = 3.2406f *X - 1.5372f *Y - 0.4986f *Z; + float g = -0.9689f *X + 1.8758f *Y + 0.0415f *Z; + float b = 0.0557f *X - 0.2040f *Y + 1.0570f *Z; + + // we need to crop because not all XYZ colors are visible + + R = (T)IM_CROPMAX(r, max); + G = (T)IM_CROPMAX(g, max); + B = (T)IM_CROPMAX(b, max); +} + +/** Converts Rec 709 RGB to CIE XYZ (all linear). \n + * ITU-R Recommendation BT.709 (D65 white point). \n +\verbatim + 0 <= XYZ <= 1 ; 0 <= RGB <= 1 + + X = 0.4124 *R + 0.3576 *G + 0.1805 *B + Y = 0.2126 *R + 0.7152 *G + 0.0722 *B + Z = 0.0193 *R + 0.1192 *G + 0.9505 *B +\endverbatim + * \ingroup color */ +template +inline void imColorRGB2XYZ(const T R, const T G, const T B, + T& X, T& Y, T& Z) +{ + X = (T)(0.4124f *R + 0.3576f *G + 0.1805f *B); + Y = (T)(0.2126f *R + 0.7152f *G + 0.0722f *B); + Z = (T)(0.0193f *R + 0.1192f *G + 0.9505f *B); + + // there is no need for cropping here, XYZ is already at the limits +} + +#define IM_FWLAB(_w) (_w > 0.008856f? \ + powf(_w, 1.0f/3.0f): \ + 7.787f * _w + 0.16f/1.16f) + +/** Converts CIE XYZ (linear) to CIE L*a*b* (nonlinear). \n + * The white point is D65. \n +\verbatim + 0 <= L <= 1 ; -0.5 <= ab <= +0.5 ; 0 <= XYZ <= 1 + + if (t > 0.008856) + f(t) = pow(t, 1/3) + else + f(t) = 7.787*t + 16/116 + + fX = f(X / Xn) fY = f(Y / Yn) fZ = f(Z / Zn) + + L = 1.16 * fY - 0.16 + a = 2.5 * (fX - fY) + b = (fY - fZ) + +\endverbatim + * \ingroup color */ +inline void imColorXYZ2Lab(const float X, const float Y, const float Z, + float& L, float& a, float& b) +{ + float fX = X / 0.9505f; // white point D65 + float fY = Y / 1.0f; + float fZ = Z / 1.0890f; + + fX = IM_FWLAB(fX); + fY = IM_FWLAB(fY); + fZ = IM_FWLAB(fZ); + + L = 1.16f * fY - 0.16f; + a = 2.5f * (fX - fY); + b = (fY - fZ); +} + +#define IM_GWLAB(_w) (_w > 0.20689f? \ + powf(_w, 3.0f): \ + 0.1284f * (_w - 0.16f/1.16f)) + +/** Converts CIE L*a*b* (nonlinear) to CIE XYZ (linear). \n + * The white point is D65. \n + * 0 <= L <= 1 ; -0.5 <= ab <= +0.5 ; 0 <= XYZ <= 1 + * \ingroup color */ +inline void imColorLab2XYZ(const float L, const float a, const float b, + float& X, float& Y, float& Z) + +{ + float fY = (L + 0.16f) / 1.16f; + float gY = IM_GWLAB(fY); + + float fgY = IM_FWLAB(gY); + float gX = fgY + a / 2.5f; + float gZ = fgY - b; + gX = IM_GWLAB(gX); + gZ = IM_GWLAB(gZ); + + X = gX * 0.9505f; // white point D65 + Y = gY * 1.0f; + Z = gZ * 1.0890f; +} + +/** Converts CIE XYZ (linear) to CIE L*u*v* (nonlinear). \n + * The white point is D65. \n +\verbatim + 0 <= L <= 1 ; -1 <= uv <= +1 ; 0 <= XYZ <= 1 + + Y = Y / 1.0 (for D65) + if (Y > 0.008856) + fY = pow(Y, 1/3) + else + fY = 7.787 * Y + 0.16/1.16 + L = 1.16 * fY - 0.16 + + U(x, y, z) = (4 * x)/(x + 15 * y + 3 * z) + V(x, y, z) = (9 * x)/(x + 15 * y + 3 * z) + un = U(Xn, Yn, Zn) = 0.1978 (for D65) + vn = V(Xn, Yn, Zn) = 0.4683 (for D65) + fu = U(X, Y, Z) + fv = V(X, Y, Z) + + u = 13 * L * (fu - un) + v = 13 * L * (fv - vn) +\endverbatim + * \ingroup color */ +inline void imColorXYZ2Luv(const float X, const float Y, const float Z, + float& L, float& u, float& v) +{ + float XYZ = (float)(X + 15 * Y + 3 * Z); + float fY = Y / 1.0f; + + if (XYZ != 0) + { + L = 1.16f * IM_FWLAB(fY) - 0.16f; + u = 6.5f * L * ((4 * X)/XYZ - 0.1978f); + v = 6.5f * L * ((9 * Y)/XYZ - 0.4683f); + } + else + { + L = u = v = 0; + } +} + +/** Converts CIE L*u*v* (nonlinear) to CIE XYZ (linear). \n + * The white point is D65. + * 0 <= L <= 1 ; -0.5 <= uv <= +0.5 ; 0 <= XYZ <= 1 \n + * \ingroup color */ +inline void imColorLuv2XYZ(const float L, const float u, const float v, + float& X, float& Y, float& Z) + +{ + float fY = (L + 0.16f) / 1.16f; + Y = IM_GWLAB(fY) * 1.0f; + + float ul = 0.1978f, vl = 0.4683f; + if (L != 0) + { + ul = u / (6.5f * L) + 0.1978f; + vl = v / (6.5f * L) + 0.4683f; + } + + X = ((9 * ul) / (4 * vl)) * Y; + Z = ((12 - 3 * ul - 20 * vl) / (4 * vl)) * Y; +} + +/** Converts nonlinear values to linear values. \n + * We use the sRGB transfer function. sRGB uses ITU-R 709 primaries and D65 white point. \n +\verbatim + 0 <= l <= 1 ; 0 <= v <= 1 + + if (v < 0.03928) + l = v / 12.92 + else + l = pow((v + 0.055) / 1.055, 2.4) +\endverbatim + * \ingroup color */ +inline float imColorTransfer2Linear(const float& nonlinear_value) +{ + if (nonlinear_value < 0.03928f) + return nonlinear_value / 12.92f; + else + return powf((nonlinear_value + 0.055f) / 1.055f, 2.4f); +} + +/** Converts linear values to nonlinear values. \n + * We use the sRGB transfer function. sRGB uses ITU-R 709 primaries and D65 white point. \n +\verbatim + 0 <= l <= 1 ; 0 <= v <= 1 + + if (l < 0.0031308) + v = 12.92 * l + else + v = 1.055 * pow(l, 1/2.4) - 0.055 +\endverbatim + * \ingroup color */ +inline float imColorTransfer2Nonlinear(const float& value) +{ + if (value < 0.0031308f) + return 12.92f * value; + else + return 1.055f * powf(value, 1.0f/2.4f) - 0.055f; +} + +/** Converts RGB (linear) to R'G'B' (nonlinear). + * \ingroup color */ +inline void imColorRGB2RGBNonlinear(const float RL, const float GL, const float BL, + float& R, float& G, float& B) +{ + R = imColorTransfer2Nonlinear(RL); + G = imColorTransfer2Nonlinear(GL); + B = imColorTransfer2Nonlinear(BL); +} + +/** Converts R'G'B' to Y' (all nonlinear). \n +\verbatim + Y' = 0.299 *R' + 0.587 *G' + 0.114 *B' +\endverbatim + * \ingroup color */ +template +inline T imColorRGB2Luma(const T R, const T G, const T B) +{ + return (T)((299 * R + 587 * G + 114 * B) / 1000); +} + +/** Converts Luminance (CIE Y) to Lightness (CIE L*) (all linear). \n + * The white point is D65. +\verbatim + 0 <= Y <= 1 ; 0 <= L* <= 1 + + Y = Y / 1.0 (for D65) + if (Y > 0.008856) + fY = pow(Y, 1/3) + else + fY = 7.787 * Y + 0.16/1.16 + L = 1.16 * fY - 0.16 +\endverbatim + * \ingroup color */ +inline float imColorLuminance2Lightness(const float& Y) +{ + return 1.16f * IM_FWLAB(Y) - 0.16f; +} + +/** Converts Lightness (CIE L*) to Luminance (CIE Y) (all linear). \n + * The white point is D65. +\verbatim + 0 <= Y <= 1 ; 0 <= L* <= 1 + + fY = (L + 0.16)/1.16 + if (fY > 0.20689) + Y = pow(fY, 3) + else + Y = 0.1284 * (fY - 0.16/1.16) + Y = Y * 1.0 (for D65) +\endverbatim + * \ingroup color */ +inline float imColorLightness2Luminance(const float& L) +{ + float fY = (L + 0.16f) / 1.16f; + return IM_GWLAB(fY); +} + +#undef IM_FWLAB +#undef IM_GWLAB +#undef IM_CROPL +#undef IM_CROPC + +#endif -- cgit v1.2.3