#ifndef lint static const char RCSid[] = "$Id: spec_rgb.c,v 2.13 2003/06/30 19:04:29 greg Exp $"; #endif /* * Convert colors and spectral ranges. * Added von Kries white-balance calculations 10/01 (GW). * * Externals declared in color.h */ #include "copyright.h" #include #include #include "color.h" #define CEPS 1e-4 /* color epsilon */ #define CEQ(v1,v2) ((v1) <= (v2)+CEPS && (v2) <= (v1)+CEPS) #define XYEQ(c1,c2) (CEQ((c1)[CIEX],(c2)[CIEX]) && CEQ((c1)[CIEY],(c2)[CIEY])) RGBPRIMS stdprims = STDPRIMS; /* standard primary chromaticities */ COLOR cblack = BLKCOLOR; /* global black color */ COLOR cwhite = WHTCOLOR; /* global white color */ float xyneu[2] = {1./3., 1./3.}; /* neutral xy chromaticities */ /* * The following table contains the CIE tristimulus integrals * for X, Y, and Z. The table is cumulative, so that * each color coordinate integrates to 1. */ #define STARTWL 380 /* starting wavelength (nanometers) */ #define INCWL 10 /* wavelength increment */ #define NINC 40 /* # of values */ static BYTE chroma[3][NINC] = { { /* X */ 0, 0, 0, 2, 6, 13, 22, 30, 36, 41, 42, 43, 43, 44, 46, 52, 60, 71, 87, 106, 128, 153, 178, 200, 219, 233, 243, 249, 252, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255 }, { /* Y */ 0, 0, 0, 0, 0, 1, 2, 4, 7, 11, 17, 24, 34, 48, 64, 84, 105, 127, 148, 169, 188, 205, 220, 232, 240, 246, 250, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255 }, { /* Z */ 0, 0, 2, 10, 32, 66, 118, 153, 191, 220, 237, 246, 251, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255 } }; COLORMAT xyz2rgbmat = { /* XYZ to RGB (no white balance) */ {(CIE_y_g - CIE_y_b - CIE_x_b*CIE_y_g + CIE_y_b*CIE_x_g)/CIE_C_rD, (CIE_x_b - CIE_x_g - CIE_x_b*CIE_y_g + CIE_x_g*CIE_y_b)/CIE_C_rD, (CIE_x_g*CIE_y_b - CIE_x_b*CIE_y_g)/CIE_C_rD}, {(CIE_y_b - CIE_y_r - CIE_y_b*CIE_x_r + CIE_y_r*CIE_x_b)/CIE_C_gD, (CIE_x_r - CIE_x_b - CIE_x_r*CIE_y_b + CIE_x_b*CIE_y_r)/CIE_C_gD, (CIE_x_b*CIE_y_r - CIE_x_r*CIE_y_b)/CIE_C_gD}, {(CIE_y_r - CIE_y_g - CIE_y_r*CIE_x_g + CIE_y_g*CIE_x_r)/CIE_C_bD, (CIE_x_g - CIE_x_r - CIE_x_g*CIE_y_r + CIE_x_r*CIE_y_g)/CIE_C_bD, (CIE_x_r*CIE_y_g - CIE_x_g*CIE_y_r)/CIE_C_bD} }; COLORMAT rgb2xyzmat = { /* RGB to XYZ (no white balance) */ {CIE_x_r*CIE_C_rD/CIE_D,CIE_x_g*CIE_C_gD/CIE_D,CIE_x_b*CIE_C_bD/CIE_D}, {CIE_y_r*CIE_C_rD/CIE_D,CIE_y_g*CIE_C_gD/CIE_D,CIE_y_b*CIE_C_bD/CIE_D}, {(1.-CIE_x_r-CIE_y_r)*CIE_C_rD/CIE_D, (1.-CIE_x_g-CIE_y_g)*CIE_C_gD/CIE_D, (1.-CIE_x_b-CIE_y_b)*CIE_C_bD/CIE_D} }; COLORMAT vkmat = { /* Sharp primary matrix */ { 1.2694, -0.0988, -0.1706}, {-0.8364, 1.8006, 0.0357}, { 0.0297, -0.0315, 1.0018} }; COLORMAT ivkmat = { /* inverse Sharp primary matrix */ { 0.8156, 0.0472, 0.1372}, { 0.3791, 0.5769, 0.0440}, {-0.0123, 0.0167, 0.9955} }; void spec_rgb(col, s, e) /* compute RGB color from spectral range */ COLOR col; int s, e; { COLOR ciecolor; spec_cie(ciecolor, s, e); cie_rgb(col, ciecolor); } void spec_cie(col, s, e) /* compute a color from a spectral range */ COLOR col; /* returned color */ int s, e; /* starting and ending wavelengths */ { register int i, d, r; s -= STARTWL; if (s < 0) s = 0; e -= STARTWL; if (e <= s) { col[CIEX] = col[CIEY] = col[CIEZ] = 0.0; return; } if (e >= INCWL*(NINC - 1)) e = INCWL*(NINC - 1) - 1; d = e / INCWL; /* interpolate values */ r = e % INCWL; for (i = 0; i < 3; i++) col[i] = chroma[i][d]*(INCWL - r) + chroma[i][d + 1]*r; d = s / INCWL; r = s % INCWL; for (i = 0; i < 3; i++) col[i] -= chroma[i][d]*(INCWL - r) - chroma[i][d + 1]*r; col[CIEX] = (col[CIEX] + 0.5) * (1./(256*INCWL)); col[CIEY] = (col[CIEY] + 0.5) * (1./(256*INCWL)); col[CIEZ] = (col[CIEZ] + 0.5) * (1./(256*INCWL)); } void cie_rgb(rgb, xyz) /* convert CIE color to standard RGB */ COLOR rgb; COLOR xyz; { colortrans(rgb, xyz2rgbmat, xyz); clipgamut(rgb, xyz[CIEY], CGAMUT_LOWER, cblack, cwhite); } int clipgamut(col, brt, gamut, lower, upper) /* clip to gamut cube */ COLOR col; double brt; int gamut; COLOR lower, upper; { int rflags = 0; double brtmin, brtmax, v, vv; COLOR cgry; register int i; /* check for no check */ if (gamut == 0) return(0); /* check brightness limits */ brtmin = 1./3.*(lower[0]+lower[1]+lower[2]); if (gamut & CGAMUT_LOWER && brt < brtmin) { copycolor(col, lower); return(CGAMUT_LOWER); } brtmax = 1./3.*(upper[0]+upper[1]+upper[2]); if (gamut & CGAMUT_UPPER && brt > brtmax) { copycolor(col, upper); return(CGAMUT_UPPER); } /* compute equivalent grey */ v = (brt - brtmin)/(brtmax - brtmin); for (i = 0; i < 3; i++) cgry[i] = v*upper[i] + (1.-v)*lower[i]; vv = 1.; /* check each limit */ for (i = 0; i < 3; i++) if (gamut & CGAMUT_LOWER && col[i] < lower[i]) { v = (lower[i]+CEPS - cgry[i])/(col[i] - cgry[i]); if (v < vv) vv = v; rflags |= CGAMUT_LOWER; } else if (gamut & CGAMUT_UPPER && col[i] > upper[i]) { v = (upper[i]-CEPS - cgry[i])/(col[i] - cgry[i]); if (v < vv) vv = v; rflags |= CGAMUT_UPPER; } if (rflags) /* desaturate to cube face */ for (i = 0; i < 3; i++) col[i] = vv*col[i] + (1.-vv)*cgry[i]; return(rflags); } void colortrans(c2, mat, c1) /* convert c1 by mat and put into c2 */ register COLOR c2; register COLORMAT mat; register COLOR c1; { COLOR cout; cout[0] = mat[0][0]*c1[0] + mat[0][1]*c1[1] + mat[0][2]*c1[2]; cout[1] = mat[1][0]*c1[0] + mat[1][1]*c1[1] + mat[1][2]*c1[2]; cout[2] = mat[2][0]*c1[0] + mat[2][1]*c1[1] + mat[2][2]*c1[2]; copycolor(c2, cout); } void multcolormat(m3, m2, m1) /* multiply m1 by m2 and put into m3 */ COLORMAT m3; /* m3 can be either m1 or m2 w/o harm */ COLORMAT m2, m1; { COLORMAT mt; register int i, j; for (i = 0; i < 3; i++) for (j = 0; j < 3; j++) mt[i][j] = m1[i][0]*m2[0][j] + m1[i][1]*m2[1][j] + m1[i][2]*m2[2][j] ; cpcolormat(m3, mt); } void compxyz2rgbmat(mat, pr) /* compute conversion from CIE to RGB space */ COLORMAT mat; register RGBPRIMS pr; { double C_rD, C_gD, C_bD; if (pr == stdprims) { /* can use xyz2rgbmat */ cpcolormat(mat, xyz2rgbmat); return; } C_rD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[GRN][CIEY] - pr[BLU][CIEY]) - pr[WHT][CIEY]*(pr[GRN][CIEX] - pr[BLU][CIEX]) + pr[GRN][CIEX]*pr[BLU][CIEY] - pr[BLU][CIEX]*pr[GRN][CIEY] ) ; C_gD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[BLU][CIEY] - pr[RED][CIEY]) - pr[WHT][CIEY]*(pr[BLU][CIEX] - pr[RED][CIEX]) - pr[RED][CIEX]*pr[BLU][CIEY] + pr[BLU][CIEX]*pr[RED][CIEY] ) ; C_bD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[RED][CIEY] - pr[GRN][CIEY]) - pr[WHT][CIEY]*(pr[RED][CIEX] - pr[GRN][CIEX]) + pr[RED][CIEX]*pr[GRN][CIEY] - pr[GRN][CIEX]*pr[RED][CIEY] ) ; mat[0][0] = (pr[GRN][CIEY] - pr[BLU][CIEY] - pr[BLU][CIEX]*pr[GRN][CIEY] + pr[BLU][CIEY]*pr[GRN][CIEX])/C_rD ; mat[0][1] = (pr[BLU][CIEX] - pr[GRN][CIEX] - pr[BLU][CIEX]*pr[GRN][CIEY] + pr[GRN][CIEX]*pr[BLU][CIEY])/C_rD ; mat[0][2] = (pr[GRN][CIEX]*pr[BLU][CIEY] - pr[BLU][CIEX]*pr[GRN][CIEY])/C_rD ; mat[1][0] = (pr[BLU][CIEY] - pr[RED][CIEY] - pr[BLU][CIEY]*pr[RED][CIEX] + pr[RED][CIEY]*pr[BLU][CIEX])/C_gD ; mat[1][1] = (pr[RED][CIEX] - pr[BLU][CIEX] - pr[RED][CIEX]*pr[BLU][CIEY] + pr[BLU][CIEX]*pr[RED][CIEY])/C_gD ; mat[1][2] = (pr[BLU][CIEX]*pr[RED][CIEY] - pr[RED][CIEX]*pr[BLU][CIEY])/C_gD ; mat[2][0] = (pr[RED][CIEY] - pr[GRN][CIEY] - pr[RED][CIEY]*pr[GRN][CIEX] + pr[GRN][CIEY]*pr[RED][CIEX])/C_bD ; mat[2][1] = (pr[GRN][CIEX] - pr[RED][CIEX] - pr[GRN][CIEX]*pr[RED][CIEY] + pr[RED][CIEX]*pr[GRN][CIEY])/C_bD ; mat[2][2] = (pr[RED][CIEX]*pr[GRN][CIEY] - pr[GRN][CIEX]*pr[RED][CIEY])/C_bD ; } void comprgb2xyzmat(mat, pr) /* compute conversion from RGB to CIE space */ COLORMAT mat; register RGBPRIMS pr; { double C_rD, C_gD, C_bD, D; if (pr == stdprims) { /* can use rgb2xyzmat */ cpcolormat(mat, rgb2xyzmat); return; } C_rD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[GRN][CIEY] - pr[BLU][CIEY]) - pr[WHT][CIEY]*(pr[GRN][CIEX] - pr[BLU][CIEX]) + pr[GRN][CIEX]*pr[BLU][CIEY] - pr[BLU][CIEX]*pr[GRN][CIEY] ) ; C_gD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[BLU][CIEY] - pr[RED][CIEY]) - pr[WHT][CIEY]*(pr[BLU][CIEX] - pr[RED][CIEX]) - pr[RED][CIEX]*pr[BLU][CIEY] + pr[BLU][CIEX]*pr[RED][CIEY] ) ; C_bD = (1./pr[WHT][CIEY]) * ( pr[WHT][CIEX]*(pr[RED][CIEY] - pr[GRN][CIEY]) - pr[WHT][CIEY]*(pr[RED][CIEX] - pr[GRN][CIEX]) + pr[RED][CIEX]*pr[GRN][CIEY] - pr[GRN][CIEX]*pr[RED][CIEY] ) ; D = pr[RED][CIEX]*(pr[GRN][CIEY] - pr[BLU][CIEY]) + pr[GRN][CIEX]*(pr[BLU][CIEY] - pr[RED][CIEY]) + pr[BLU][CIEX]*(pr[RED][CIEY] - pr[GRN][CIEY]) ; mat[0][0] = pr[RED][CIEX]*C_rD/D; mat[0][1] = pr[GRN][CIEX]*C_gD/D; mat[0][2] = pr[BLU][CIEX]*C_bD/D; mat[1][0] = pr[RED][CIEY]*C_rD/D; mat[1][1] = pr[GRN][CIEY]*C_gD/D; mat[1][2] = pr[BLU][CIEY]*C_bD/D; mat[2][0] = (1.-pr[RED][CIEX]-pr[RED][CIEY])*C_rD/D; mat[2][1] = (1.-pr[GRN][CIEX]-pr[GRN][CIEY])*C_gD/D; mat[2][2] = (1.-pr[BLU][CIEX]-pr[BLU][CIEY])*C_bD/D; } void comprgb2rgbmat(mat, pr1, pr2) /* compute conversion from RGB1 to RGB2 */ COLORMAT mat; RGBPRIMS pr1, pr2; { COLORMAT pr1toxyz, xyztopr2; if (pr1 == pr2) { mat[0][0] = mat[1][1] = mat[2][2] = 1.0; mat[0][1] = mat[0][2] = mat[1][0] = mat[1][2] = mat[2][0] = mat[2][1] = 0.0; return; } comprgb2xyzmat(pr1toxyz, pr1); compxyz2rgbmat(xyztopr2, pr2); /* combine transforms */ multcolormat(mat, pr1toxyz, xyztopr2); } void compxyzWBmat(mat, wht1, wht2) /* CIE von Kries transform from wht1 to wht2 */ COLORMAT mat; float wht1[2], wht2[2]; { COLOR cw1, cw2; if (XYEQ(wht1,wht2)) { mat[0][0] = mat[1][1] = mat[2][2] = 1.0; mat[0][1] = mat[0][2] = mat[1][0] = mat[1][2] = mat[2][0] = mat[2][1] = 0.0; return; } cw1[RED] = wht1[CIEX]/wht1[CIEY]; cw1[GRN] = 1.; cw1[BLU] = (1. - wht1[CIEX] - wht1[CIEY])/wht1[CIEY]; colortrans(cw1, vkmat, cw1); cw2[RED] = wht2[CIEX]/wht2[CIEY]; cw2[GRN] = 1.; cw2[BLU] = (1. - wht2[CIEX] - wht2[CIEY])/wht2[CIEY]; colortrans(cw2, vkmat, cw2); mat[0][0] = cw2[RED]/cw1[RED]; mat[1][1] = cw2[GRN]/cw1[GRN]; mat[2][2] = cw2[BLU]/cw1[BLU]; mat[0][1] = mat[0][2] = mat[1][0] = mat[1][2] = mat[2][0] = mat[2][1] = 0.0; multcolormat(mat, vkmat, mat); multcolormat(mat, mat, ivkmat); } void compxyz2rgbWBmat(mat, pr) /* von Kries conversion from CIE to RGB space */ COLORMAT mat; RGBPRIMS pr; { COLORMAT wbmat; compxyz2rgbmat(mat, pr); if (XYEQ(pr[WHT],xyneu)) return; compxyzWBmat(wbmat, xyneu, pr[WHT]); multcolormat(mat, wbmat, mat); } void comprgb2xyzWBmat(mat, pr) /* von Kries conversion from RGB to CIE space */ COLORMAT mat; RGBPRIMS pr; { COLORMAT wbmat; comprgb2xyzmat(mat, pr); if (XYEQ(pr[WHT],xyneu)) return; compxyzWBmat(wbmat, pr[WHT], xyneu); multcolormat(mat, mat, wbmat); } void comprgb2rgbWBmat(mat, pr1, pr2) /* von Kries conversion from RGB1 to RGB2 */ COLORMAT mat; RGBPRIMS pr1, pr2; { COLORMAT pr1toxyz, xyztopr2, wbmat; if (pr1 == pr2) { mat[0][0] = mat[1][1] = mat[2][2] = 1.0; mat[0][1] = mat[0][2] = mat[1][0] = mat[1][2] = mat[2][0] = mat[2][1] = 0.0; return; } comprgb2xyzmat(pr1toxyz, pr1); compxyzWBmat(wbmat, pr1[WHT], pr2[WHT]); compxyz2rgbmat(xyztopr2, pr2); /* combine transforms */ multcolormat(mat, pr1toxyz, wbmat); multcolormat(mat, mat, xyztopr2); }