001/******************************************************************************* 002 * This software is provided as a supplement to the authors' textbooks on digital 003 * image processing published by Springer-Verlag in various languages and editions. 004 * Permission to use and distribute this software is granted under the BSD 2-Clause 005 * "Simplified" License (see http://opensource.org/licenses/BSD-2-Clause). 006 * Copyright (c) 2006-2023 Wilhelm Burger, Mark J. Burge. All rights reserved. 007 * Visit https://imagingbook.com for additional details. 008 ******************************************************************************/ 009package imagingbook.common.color.cie; 010 011import java.awt.geom.Path2D; 012 013/** 014 * This class renders the famous CIE xy-chromaticity diagram, also known as the "horeseshoe" curve, delineating the 015 * range of visible colors in the xy-diagram. The shape is created in a square canvas whose size can be specified. 016 * The result is "upside down", i.e., the vertical coordinate runs from top to bottom. 017 */ 018public class CieXyPlot extends Path2D.Double { 019 020 private final double canvasSize; 021 022 /** 023 * Constructor, creates a xy-diagram in a canvas with the specified size. 024 * 025 * @param CanvasSize the size of the canvas 026 */ 027 public CieXyPlot(double CanvasSize) { 028 this.canvasSize = CanvasSize; 029 this.drawSelf(); 030 } 031 032 private void drawSelf() { 033 double[][] coords = CIE1964xyz; 034 for (int i = 0; i < coords.length; i++) { 035 double[] entry = coords[i]; 036 double lambda = entry[0]; 037 if (lambda > 720) // limit to 720nm 038 break; 039 double X = entry[1]; 040 double Y = entry[2]; 041 double Z = entry[3]; 042 double[] XYZ = {X, Y, Z}; 043 double[] xy = CieUtils.XYZToxy(XYZ); 044 double xx = xy[0] * canvasSize; 045 double yy = (1 - xy[1]) * canvasSize; 046 if (i == 0) { 047 this.moveTo(xx, yy); 048 } 049 else { 050 this.lineTo(xx, yy); 051 } 052 } 053 this.closePath(); 054 } 055 056 /** 057 * CIE 1964 10-deg chromaticity coordinates. Copied from 058 * <a href="http://www.cvrl.org/ccs.htm">http://www.cvrl.org/ccs.htm</a>. 059 * The entry format is [ λ, x(λ), y(λ), z(λ)], with wavelength λ (in nm) and xyz chromaticity coordinates. The array 060 * is truncated above 720nm, thereby skipping the "dangling" measurements. 061 */ 062 public static final double[][] CIE1964xyz = { 063 {360, 0.182218, 0.019978, 0.797804}, 064 {361, 0.182195, 0.019971, 0.797833}, 065 {362, 0.182172, 0.019966, 0.797862}, 066 {363, 0.182149, 0.019957, 0.797893}, 067 {364, 0.182124, 0.019947, 0.797929}, 068 {365, 0.182098, 0.019938, 0.797964}, 069 {366, 0.182069, 0.019928, 0.798003}, 070 {367, 0.182037, 0.019918, 0.798045}, 071 {368, 0.182003, 0.019908, 0.798089}, 072 {369, 0.181962, 0.019895, 0.798142}, 073 {370, 0.181923, 0.019879, 0.798198}, 074 {371, 0.181882, 0.019861, 0.798257}, 075 {372, 0.181830, 0.019850, 0.798320}, 076 {373, 0.181780, 0.019833, 0.798387}, 077 {374, 0.181727, 0.019811, 0.798462}, 078 {375, 0.181671, 0.019797, 0.798532}, 079 {376, 0.181612, 0.019778, 0.798610}, 080 {377, 0.181551, 0.019756, 0.798692}, 081 {378, 0.181482, 0.019735, 0.798783}, 082 {379, 0.181411, 0.019711, 0.798878}, 083 {380, 0.181333, 0.019685, 0.798982}, 084 {381, 0.181252, 0.019658, 0.799090}, 085 {382, 0.181171, 0.019630, 0.799198}, 086 {383, 0.181086, 0.019602, 0.799312}, 087 {384, 0.180997, 0.019572, 0.799430}, 088 {385, 0.180906, 0.019542, 0.799552}, 089 {386, 0.180801, 0.019513, 0.799686}, 090 {387, 0.180696, 0.019475, 0.799830}, 091 {388, 0.180578, 0.019434, 0.799988}, 092 {389, 0.180449, 0.019392, 0.800158}, 093 {390, 0.180313, 0.019348, 0.800339}, 094 {391, 0.180159, 0.019289, 0.800552}, 095 {392, 0.180000, 0.019241, 0.800759}, 096 {393, 0.179830, 0.019177, 0.800993}, 097 {394, 0.179651, 0.019112, 0.801238}, 098 {395, 0.179466, 0.019044, 0.801491}, 099 {396, 0.179271, 0.018969, 0.801760}, 100 {397, 0.179064, 0.018906, 0.802030}, 101 {398, 0.178849, 0.018839, 0.802312}, 102 {399, 0.178620, 0.018771, 0.802609}, 103 {400, 0.178387, 0.018711, 0.802902}, 104 {401, 0.178151, 0.018653, 0.803196}, 105 {402, 0.177899, 0.018586, 0.803514}, 106 {403, 0.177649, 0.018525, 0.803827}, 107 {404, 0.177389, 0.018463, 0.804148}, 108 {405, 0.177122, 0.018402, 0.804476}, 109 {406, 0.176840, 0.018341, 0.804818}, 110 {407, 0.176530, 0.018291, 0.805179}, 111 {408, 0.176209, 0.018232, 0.805559}, 112 {409, 0.175861, 0.018181, 0.805958}, 113 {410, 0.175488, 0.018134, 0.806378}, 114 {411, 0.175085, 0.018083, 0.806832}, 115 {412, 0.174654, 0.018017, 0.807328}, 116 {413, 0.174199, 0.017943, 0.807858}, 117 {414, 0.173723, 0.017870, 0.808406}, 118 {415, 0.173231, 0.017806, 0.808963}, 119 {416, 0.172723, 0.017756, 0.809521}, 120 {417, 0.172208, 0.017724, 0.810068}, 121 {418, 0.171684, 0.017727, 0.810589}, 122 {419, 0.171159, 0.017766, 0.811075}, 123 {420, 0.170634, 0.017849, 0.811517}, 124 {421, 0.170100, 0.017969, 0.811931}, 125 {422, 0.169568, 0.018114, 0.812318}, 126 {423, 0.169020, 0.018284, 0.812696}, 127 {424, 0.168462, 0.018480, 0.813058}, 128 {425, 0.167902, 0.018708, 0.813390}, 129 {426, 0.167333, 0.018968, 0.813698}, 130 {427, 0.166762, 0.019246, 0.813992}, 131 {428, 0.166186, 0.019560, 0.814254}, 132 {429, 0.165607, 0.019911, 0.814483}, 133 {430, 0.165027, 0.020283, 0.814690}, 134 {431, 0.164451, 0.020682, 0.814867}, 135 {432, 0.163883, 0.021099, 0.815018}, 136 {433, 0.163318, 0.021528, 0.815153}, 137 {434, 0.162751, 0.021990, 0.815259}, 138 {435, 0.162170, 0.022487, 0.815343}, 139 {436, 0.161589, 0.023024, 0.815387}, 140 {437, 0.160984, 0.023610, 0.815406}, 141 {438, 0.160358, 0.024251, 0.815391}, 142 {439, 0.159706, 0.024954, 0.815340}, 143 {440, 0.159022, 0.025725, 0.815253}, 144 {441, 0.158320, 0.026530, 0.815150}, 145 {442, 0.157612, 0.027342, 0.815046}, 146 {443, 0.156892, 0.028181, 0.814927}, 147 {444, 0.156153, 0.029066, 0.814780}, 148 {445, 0.155391, 0.030017, 0.814592}, 149 {446, 0.154598, 0.031053, 0.814349}, 150 {447, 0.153769, 0.032194, 0.814037}, 151 {448, 0.152897, 0.033459, 0.813644}, 152 {449, 0.151977, 0.034861, 0.813161}, 153 {450, 0.151001, 0.036439, 0.812560}, 154 {451, 0.150010, 0.038086, 0.811904}, 155 {452, 0.149031, 0.039740, 0.811229}, 156 {453, 0.148043, 0.041448, 0.810509}, 157 {454, 0.147021, 0.043258, 0.809721}, 158 {455, 0.145945, 0.045217, 0.808838}, 159 {456, 0.144788, 0.047373, 0.807839}, 160 {457, 0.143530, 0.049770, 0.806700}, 161 {458, 0.142149, 0.052467, 0.805384}, 162 {459, 0.140620, 0.055500, 0.803880}, 163 {460, 0.138922, 0.058920, 0.802158}, 164 {461, 0.137143, 0.062497, 0.800360}, 165 {462, 0.135380, 0.066053, 0.798567}, 166 {463, 0.133564, 0.069716, 0.796721}, 167 {464, 0.131628, 0.073612, 0.794760}, 168 {465, 0.129520, 0.077870, 0.792610}, 169 {466, 0.127184, 0.082616, 0.790199}, 170 {467, 0.124602, 0.087978, 0.787420}, 171 {468, 0.121766, 0.094084, 0.784150}, 172 {469, 0.118589, 0.101061, 0.780350}, 173 {470, 0.115180, 0.109040, 0.775780}, 174 {471, 0.111711, 0.117809, 0.770480}, 175 {472, 0.108041, 0.127140, 0.764820}, 176 {473, 0.104128, 0.137089, 0.758783}, 177 {474, 0.100014, 0.147718, 0.752268}, 178 {475, 0.095732, 0.159090, 0.745178}, 179 {476, 0.091311, 0.171265, 0.737424}, 180 {477, 0.086777, 0.184300, 0.728924}, 181 {478, 0.082157, 0.198274, 0.719569}, 182 {479, 0.077482, 0.213231, 0.709287}, 183 {480, 0.072777, 0.229239, 0.697984}, 184 {481, 0.067816, 0.246541, 0.685643}, 185 {482, 0.062437, 0.265234, 0.672329}, 186 {483, 0.056780, 0.285099, 0.658121}, 187 {484, 0.050990, 0.305930, 0.643081}, 188 {485, 0.045194, 0.327537, 0.627269}, 189 {486, 0.039531, 0.349718, 0.610751}, 190 {487, 0.034145, 0.372263, 0.593592}, 191 {488, 0.029166, 0.394980, 0.575853}, 192 {489, 0.024740, 0.417662, 0.557599}, 193 {490, 0.020987, 0.440113, 0.538900}, 194 {491, 0.017705, 0.463082, 0.519212}, 195 {492, 0.014628, 0.487198, 0.498174}, 196 {493, 0.011822, 0.512071, 0.476107}, 197 {494, 0.009358, 0.537309, 0.453333}, 198 {495, 0.007302, 0.562523, 0.430175}, 199 {496, 0.005725, 0.587321, 0.406953}, 200 {497, 0.004697, 0.611313, 0.383990}, 201 {498, 0.004281, 0.634109, 0.361610}, 202 {499, 0.004559, 0.655314, 0.340127}, 203 {500, 0.005586, 0.674543, 0.319871}, 204 {501, 0.007435, 0.692178, 0.300387}, 205 {502, 0.010071, 0.708839, 0.281090}, 206 {503, 0.013411, 0.724485, 0.262103}, 207 {504, 0.017374, 0.739078, 0.243548}, 208 {505, 0.021874, 0.752578, 0.225548}, 209 {506, 0.026828, 0.764952, 0.208220}, 210 {507, 0.032156, 0.776141, 0.191703}, 211 {508, 0.037772, 0.786126, 0.176102}, 212 {509, 0.043598, 0.794857, 0.161545}, 213 {510, 0.049540, 0.802302, 0.148157}, 214 {511, 0.055800, 0.808180, 0.136020}, 215 {512, 0.062554, 0.812377, 0.125068}, 216 {513, 0.069726, 0.815109, 0.115165}, 217 {514, 0.077244, 0.816566, 0.106190}, 218 {515, 0.085024, 0.816976, 0.098000}, 219 {516, 0.092995, 0.816520, 0.090485}, 220 {517, 0.101079, 0.815409, 0.083511}, 221 {518, 0.109199, 0.813848, 0.076953}, 222 {519, 0.117276, 0.812043, 0.070681}, 223 {520, 0.125236, 0.810194, 0.064569}, 224 {521, 0.133216, 0.807952, 0.058832}, 225 {522, 0.141380, 0.804898, 0.053722}, 226 {523, 0.149651, 0.801183, 0.049166}, 227 {524, 0.158017, 0.796891, 0.045091}, 228 {525, 0.166408, 0.792172, 0.041421}, 229 {526, 0.174775, 0.787131, 0.038094}, 230 {527, 0.183074, 0.781897, 0.035030}, 231 {528, 0.191260, 0.776595, 0.032144}, 232 {529, 0.199260, 0.771359, 0.029381}, 233 {530, 0.207057, 0.766282, 0.026661}, 234 {531, 0.214640, 0.761260, 0.024100}, 235 {532, 0.222066, 0.756094, 0.021839}, 236 {533, 0.229362, 0.750797, 0.019841}, 237 {534, 0.236550, 0.745380, 0.018070}, 238 {535, 0.243642, 0.739873, 0.016486}, 239 {536, 0.250670, 0.734269, 0.015060}, 240 {537, 0.257660, 0.728601, 0.013739}, 241 {538, 0.264627, 0.722872, 0.012501}, 242 {539, 0.271596, 0.717100, 0.011304}, 243 {540, 0.278588, 0.711300, 0.010112}, 244 {541, 0.285581, 0.705445, 0.008974}, 245 {542, 0.292539, 0.699506, 0.007955}, 246 {543, 0.299468, 0.693488, 0.007044}, 247 {544, 0.306360, 0.687413, 0.006227}, 248 {545, 0.313230, 0.681278, 0.005492}, 249 {546, 0.320079, 0.675100, 0.004821}, 250 {547, 0.326904, 0.668877, 0.004219}, 251 {548, 0.333714, 0.662630, 0.003656}, 252 {549, 0.340511, 0.656364, 0.003125}, 253 {550, 0.347296, 0.650090, 0.002614}, 254 {551, 0.354082, 0.643787, 0.002131}, 255 {552, 0.360869, 0.637436, 0.001695}, 256 {553, 0.367651, 0.631043, 0.001306}, 257 {554, 0.374420, 0.624621, 0.000959}, 258 {555, 0.381161, 0.618164, 0.000675}, 259 {556, 0.387871, 0.611694, 0.000435}, 260 {557, 0.394540, 0.605214, 0.000246}, 261 {558, 0.401160, 0.598730, 0.000110}, 262 {559, 0.407720, 0.592252, 0.000028}, 263 {560, 0.414213, 0.585787, 0.000000 }, 264 {561, 0.420698, 0.579302, 0.000000 }, 265 {562, 0.427229, 0.572771, 0.000000}, 266 {563, 0.433789, 0.566211, 0.000000}, 267 {564, 0.440360, 0.559640, 0.000000}, 268 {565, 0.446924, 0.553076, 0.000000}, 269 {566, 0.453464, 0.546536, 0.000000}, 270 {567, 0.459963, 0.540037, 0.000000}, 271 {568, 0.466404, 0.533596, 0.000000}, 272 {569, 0.472768, 0.527232, 0.000000}, 273 {570, 0.479038, 0.520962, 0.000000}, 274 {571, 0.485242, 0.514758, 0.000000}, 275 {572, 0.491413, 0.508587, 0.000000}, 276 {573, 0.497542, 0.502458, 0.000000}, 277 {574, 0.503620, 0.496380, 0.000000}, 278 {575, 0.509641, 0.490359, 0.000000}, 279 {576, 0.515594, 0.484406, 0.000000}, 280 {577, 0.521471, 0.478529, 0.000000}, 281 {578, 0.527264, 0.472736, 0.000000}, 282 {579, 0.532960, 0.467040, 0.000000}, 283 {580, 0.538560, 0.461440, 0.000000}, 284 {581, 0.544082, 0.455918, 0.000000}, 285 {582, 0.549537, 0.450463, 0.000000}, 286 {583, 0.554921, 0.445079, 0.000000}, 287 {584, 0.560219, 0.439781, 0.000000}, 288 {585, 0.565444, 0.434556, 0.000000}, 289 {586, 0.570568, 0.429432, 0.000000}, 290 {587, 0.575590, 0.424410, 0.000000}, 291 {588, 0.580502, 0.419498, 0.000000}, 292 {589, 0.585296, 0.414704, 0.000000}, 293 {590, 0.589960, 0.410040, 0.000000}, 294 {591, 0.594512, 0.405488, 0.000000}, 295 {592, 0.598946, 0.401054, 0.000000}, 296 {593, 0.603271, 0.396729, 0.000000}, 297 {594, 0.607487, 0.392513, 0.000000}, 298 {595, 0.611597, 0.388403, 0.000000}, 299 {596, 0.615604, 0.384396, 0.000000}, 300 {597, 0.619508, 0.380492, 0.000000}, 301 {598, 0.623312, 0.376688, 0.000000}, 302 {599, 0.627019, 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