513 lines
31 KiB
Python
513 lines
31 KiB
Python
import numpy as np
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XYZ2RGB_matrix = np.array([[3.2404542, -1.5371385, -0.4985314],
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[-0.9692660, 1.8760108, 0.0415560],
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[ 0.0556434, -0.2040259, 1.0572252]])
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RGB2XYZ_matrix = np.linalg.inv(XYZ2RGB_matrix)
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_CIEXYZ_1931_table = [
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[ 360, 0.000129900000, 0.000003917000, 0.000606100000 ],
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[ 361, 0.000145847000, 0.000004393581, 0.000680879200 ],
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[ 362, 0.000163802100, 0.000004929604, 0.000765145600 ],
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[ 363, 0.000184003700, 0.000005532136, 0.000860012400 ],
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[ 364, 0.000206690200, 0.000006208245, 0.000966592800 ],
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[ 365, 0.000232100000, 0.000006965000, 0.001086000000 ],
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[ 366, 0.000260728000, 0.000007813219, 0.001220586000 ],
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[ 367, 0.000293075000, 0.000008767336, 0.001372729000 ],
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[ 368, 0.000329388000, 0.000009839844, 0.001543579000 ],
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[ 369, 0.000369914000, 0.000011043230, 0.001734286000 ],
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[ 370, 0.000414900000, 0.000012390000, 0.001946000000 ],
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[ 371, 0.000464158700, 0.000013886410, 0.002177777000 ],
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[ 372, 0.000518986000, 0.000015557280, 0.002435809000 ],
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[ 373, 0.000581854000, 0.000017442960, 0.002731953000 ],
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[ 374, 0.000655234700, 0.000019583750, 0.003078064000 ],
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[ 375, 0.000741600000, 0.000022020000, 0.003486000000 ],
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[ 376, 0.000845029600, 0.000024839650, 0.003975227000 ],
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[ 377, 0.000964526800, 0.000028041260, 0.004540880000 ],
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[ 378, 0.001094949000, 0.000031531040, 0.005158320000 ],
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[ 379, 0.001231154000, 0.000035215210, 0.005802907000 ],
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[ 380, 0.001368000000, 0.000039000000, 0.006450001000 ],
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[ 381, 0.001502050000, 0.000042826400, 0.007083216000 ],
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[ 382, 0.001642328000, 0.000046914600, 0.007745488000 ],
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[ 383, 0.001802382000, 0.000051589600, 0.008501152000 ],
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[ 384, 0.001995757000, 0.000057176400, 0.009414544000 ],
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[ 385, 0.002236000000, 0.000064000000, 0.010549990000 ],
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[ 386, 0.002535385000, 0.000072344210, 0.011965800000 ],
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[ 387, 0.002892603000, 0.000082212240, 0.013655870000 ],
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[ 388, 0.003300829000, 0.000093508160, 0.015588050000 ],
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[ 389, 0.003753236000, 0.000106136100, 0.017730150000 ],
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[ 390, 0.004243000000, 0.000120000000, 0.020050010000 ],
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[ 391, 0.004762389000, 0.000134984000, 0.022511360000 ],
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[ 392, 0.005330048000, 0.000151492000, 0.025202880000 ],
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[ 393, 0.005978712000, 0.000170208000, 0.028279720000 ],
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[ 396, 0.008751373000, 0.000246906700, 0.041437710000 ],
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[ 397, 0.010028880000, 0.000281240000, 0.047503720000 ],
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[ 398, 0.011421700000, 0.000318520000, 0.054119880000 ],
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[ 399, 0.012869010000, 0.000357266700, 0.060998030000 ],
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[ 400, 0.014310000000, 0.000396000000, 0.067850010000 ],
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[ 401, 0.015704430000, 0.000433714700, 0.074486320000 ],
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[ 402, 0.017147440000, 0.000473024000, 0.081361560000 ],
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[ 404, 0.020748010000, 0.000572218700, 0.098540480000 ],
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[ 405, 0.023190000000, 0.000640000000, 0.110200000000 ],
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[ 406, 0.026207360000, 0.000724560000, 0.124613300000 ],
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[ 407, 0.029782480000, 0.000825500000, 0.141701700000 ],
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[ 408, 0.033880920000, 0.000941160000, 0.161303500000 ],
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[ 409, 0.038468240000, 0.001069880000, 0.183256800000 ],
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[ 414, 0.069212000000, 0.001935323000, 0.330798500000 ],
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[ 415, 0.077630000000, 0.002180000000, 0.371300000000 ],
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[ 416, 0.086958110000, 0.002454800000, 0.416209100000 ],
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[ 417, 0.097176720000, 0.002764000000, 0.465464200000 ],
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[ 418, 0.108406300000, 0.003117800000, 0.519694800000 ],
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[ 419, 0.120767200000, 0.003526400000, 0.579530300000 ],
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[ 420, 0.134380000000, 0.004000000000, 0.645600000000 ],
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[ 421, 0.149358200000, 0.004546240000, 0.718483800000 ],
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[ 428, 0.258777300000, 0.009767680000, 1.258123300000 ],
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[ 429, 0.271807900000, 0.010664430000, 1.323929600000 ],
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[ 430, 0.283900000000, 0.011600000000, 1.385600000000 ],
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[ 431, 0.294943800000, 0.012573170000, 1.442635200000 ],
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[ 432, 0.304896500000, 0.013582720000, 1.494803500000 ],
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[ 433, 0.313787300000, 0.014629680000, 1.542190300000 ],
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[ 439, 0.346129600000, 0.021718240000, 1.730382100000 ],
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[ 441, 0.349599900000, 0.024294610000, 1.760044600000 ],
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[ 442, 0.350147400000, 0.025610240000, 1.769623300000 ],
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[ 443, 0.350013000000, 0.026958570000, 1.776263700000 ],
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[ 445, 0.348060000000, 0.029800000000, 1.782600000000 ],
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[ 447, 0.344262400000, 0.032883680000, 1.781699800000 ],
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[ 448, 0.341808800000, 0.034521120000, 1.779198200000 ],
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[ 452, 0.330041100000, 0.041768000000, 1.764039000000 ],
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[ 453, 0.326635700000, 0.043766000000, 1.758943800000 ],
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[ 454, 0.322886800000, 0.045842670000, 1.752466300000 ],
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[ 456, 0.314025100000, 0.050243680000, 1.733559500000 ],
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[ 458, 0.303290400000, 0.054980560000, 1.705936900000 ],
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[ 609, 1.013047700000, 0.515632300000, 0.000383466700 ],
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[ 610, 1.002600000000, 0.503000000000, 0.000340000000 ],
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[ 611, 0.991367500000, 0.490468800000, 0.000307253300 ],
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[ 612, 0.979331400000, 0.478030400000, 0.000283160000 ],
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[ 613, 0.966491600000, 0.465677600000, 0.000265440000 ],
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[ 614, 0.952847900000, 0.453403200000, 0.000251813300 ],
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[ 615, 0.938400000000, 0.441200000000, 0.000240000000 ],
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[ 616, 0.923194000000, 0.429080000000, 0.000229546700 ],
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[ 617, 0.907244000000, 0.417036000000, 0.000220640000 ],
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[ 618, 0.890502000000, 0.405032000000, 0.000211960000 ],
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[ 619, 0.872920000000, 0.393032000000, 0.000202186700 ],
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[ 620, 0.854449900000, 0.381000000000, 0.000190000000 ],
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[ 621, 0.835084000000, 0.368918400000, 0.000174213300 ],
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[ 622, 0.814946000000, 0.356827200000, 0.000155640000 ],
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[ 623, 0.794186000000, 0.344776800000, 0.000135960000 ],
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[ 624, 0.772954000000, 0.332817600000, 0.000116853300 ],
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[ 625, 0.751400000000, 0.321000000000, 0.000100000000 ],
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[ 626, 0.729583600000, 0.309338100000, 0.000086133330 ],
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[ 627, 0.707588800000, 0.297850400000, 0.000074600000 ],
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[ 628, 0.685602200000, 0.286593600000, 0.000065000000 ],
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[ 629, 0.663810400000, 0.275624500000, 0.000056933330 ],
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[ 630, 0.642400000000, 0.265000000000, 0.000049999990 ],
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[ 631, 0.621514900000, 0.254763200000, 0.000044160000 ],
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[ 632, 0.601113800000, 0.244889600000, 0.000039480000 ],
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[ 633, 0.581105200000, 0.235334400000, 0.000035720000 ],
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[ 634, 0.561397700000, 0.226052800000, 0.000032640000 ],
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[ 635, 0.541900000000, 0.217000000000, 0.000030000000 ],
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[ 636, 0.522599500000, 0.208161600000, 0.000027653330 ],
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[ 637, 0.503546400000, 0.199548800000, 0.000025560000 ],
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[ 638, 0.484743600000, 0.191155200000, 0.000023640000 ],
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[ 639, 0.466193900000, 0.182974400000, 0.000021813330 ],
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[ 640, 0.447900000000, 0.175000000000, 0.000020000000 ],
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[ 641, 0.429861300000, 0.167223500000, 0.000018133330 ],
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[ 642, 0.412098000000, 0.159646400000, 0.000016200000 ],
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[ 643, 0.394644000000, 0.152277600000, 0.000014200000 ],
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[ 644, 0.377533300000, 0.145125900000, 0.000012133330 ],
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[ 645, 0.360800000000, 0.138200000000, 0.000010000000 ],
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[ 646, 0.344456300000, 0.131500300000, 0.000007733333 ],
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[ 647, 0.328516800000, 0.125024800000, 0.000005400000 ],
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[ 648, 0.313019200000, 0.118779200000, 0.000003200000 ],
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[ 649, 0.298001100000, 0.112769100000, 0.000001333333 ],
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[ 650, 0.283500000000, 0.107000000000, 0.000000000000 ],
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[ 651, 0.269544800000, 0.101476200000, 0.000000000000 ],
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[ 658, 0.185170800000, 0.068710080000, 0.000000000000 ],
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[ 659, 0.174832300000, 0.064769760000, 0.000000000000 ],
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[ 660, 0.164900000000, 0.061000000000, 0.000000000000 ],
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[ 666, 0.113639700000, 0.041758720000, 0.000000000000 ],
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[ 667, 0.106465000000, 0.039084960000, 0.000000000000 ],
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[ 668, 0.099690440000, 0.036563840000, 0.000000000000 ],
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[ 693, 0.018237320000, 0.006591476000, 0.000000000000 ],
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[ 694, 0.016987170000, 0.006138485000, 0.000000000000 ],
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[ 695, 0.015840000000, 0.005723000000, 0.000000000000 ],
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[ 697, 0.013831320000, 0.004995796000, 0.000000000000 ],
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[ 698, 0.012948680000, 0.004676404000, 0.000000000000 ],
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[ 700, 0.011359160000, 0.004102000000, 0.000000000000 ],
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[ 701, 0.010629350000, 0.003838453000, 0.000000000000 ],
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[ 702, 0.009938846000, 0.003589099000, 0.000000000000 ],
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[ 703, 0.009288422000, 0.003354219000, 0.000000000000 ],
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[ 704, 0.008678854000, 0.003134093000, 0.000000000000 ],
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[ 705, 0.008110916000, 0.002929000000, 0.000000000000 ],
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[ 706, 0.007582388000, 0.002738139000, 0.000000000000 ],
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[ 707, 0.007088746000, 0.002559876000, 0.000000000000 ],
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[ 708, 0.006627313000, 0.002393244000, 0.000000000000 ],
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[ 710, 0.005790346000, 0.002091000000, 0.000000000000 ],
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[ 764, 0.000125852000, 0.000045447470, 0.000000000000 ],
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[ 768, 0.000095394450, 0.000034448680, 0.000000000000 ],
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[ 769, 0.000089023900, 0.000032148160, 0.000000000000 ],
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[ 770, 0.000083075270, 0.000030000000, 0.000000000000 ],
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[ 774, 0.000062928440, 0.000022724610, 0.000000000000 ],
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[ 775, 0.000058706520, 0.000021200000, 0.000000000000 ],
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[ 776, 0.000054770280, 0.000019778550, 0.000000000000 ],
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[ 777, 0.000051099180, 0.000018452850, 0.000000000000 ],
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[ 778, 0.000047676540, 0.000017216870, 0.000000000000 ],
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[ 779, 0.000044485670, 0.000016064590, 0.000000000000 ],
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[ 780, 0.000041509940, 0.000014990000, 0.000000000000 ],
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[ 781, 0.000038733240, 0.000013987280, 0.000000000000 ],
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[ 782, 0.000036142030, 0.000013051550, 0.000000000000 ],
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[ 783, 0.000033723520, 0.000012178180, 0.000000000000 ],
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[ 784, 0.000031464870, 0.000011362540, 0.000000000000 ],
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[ 785, 0.000029353260, 0.000010600000, 0.000000000000 ],
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[ 786, 0.000027375730, 0.000009885877, 0.000000000000 ],
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[ 787, 0.000025524330, 0.000009217304, 0.000000000000 ],
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[ 788, 0.000023793760, 0.000008592362, 0.000000000000 ],
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[ 789, 0.000022178700, 0.000008009133, 0.000000000000 ],
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[ 798, 0.000011797230, 0.000004260194, 0.000000000000 ],
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[ 799, 0.000010998440, 0.000003971739, 0.000000000000 ],
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[ 800, 0.000010253980, 0.000003702900, 0.000000000000 ],
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[ 801, 0.000009559646, 0.000003452163, 0.000000000000 ],
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[ 802, 0.000008912044, 0.000003218302, 0.000000000000 ],
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[ 803, 0.000008308358, 0.000003000300, 0.000000000000 ],
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[ 804, 0.000007745769, 0.000002797139, 0.000000000000 ],
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[ 805, 0.000007221456, 0.000002607800, 0.000000000000 ],
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[ 806, 0.000006732475, 0.000002431220, 0.000000000000 ],
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[ 807, 0.000006276423, 0.000002266531, 0.000000000000 ],
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[ 808, 0.000005851304, 0.000002113013, 0.000000000000 ],
|
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[ 809, 0.000005455118, 0.000001969943, 0.000000000000 ],
|
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[ 810, 0.000005085868, 0.000001836600, 0.000000000000 ],
|
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[ 811, 0.000004741466, 0.000001712230, 0.000000000000 ],
|
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[ 812, 0.000004420236, 0.000001596228, 0.000000000000 ],
|
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[ 813, 0.000004120783, 0.000001488090, 0.000000000000 ],
|
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[ 814, 0.000003841716, 0.000001387314, 0.000000000000 ],
|
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[ 815, 0.000003581652, 0.000001293400, 0.000000000000 ],
|
|
[ 816, 0.000003339127, 0.000001205820, 0.000000000000 ],
|
|
[ 817, 0.000003112949, 0.000001124143, 0.000000000000 ],
|
|
[ 818, 0.000002902121, 0.000001048009, 0.000000000000 ],
|
|
[ 819, 0.000002705645, 0.000000977058, 0.000000000000 ],
|
|
[ 820, 0.000002522525, 0.000000910930, 0.000000000000 ],
|
|
[ 821, 0.000002351726, 0.000000849251, 0.000000000000 ],
|
|
[ 822, 0.000002192415, 0.000000791721, 0.000000000000 ],
|
|
[ 823, 0.000002043902, 0.000000738090, 0.000000000000 ],
|
|
[ 824, 0.000001905497, 0.000000688110, 0.000000000000 ],
|
|
[ 825, 0.000001776509, 0.000000641530, 0.000000000000 ],
|
|
[ 826, 0.000001656215, 0.000000598090, 0.000000000000 ],
|
|
[ 827, 0.000001544022, 0.000000557575, 0.000000000000 ],
|
|
[ 828, 0.000001439440, 0.000000519808, 0.000000000000 ],
|
|
[ 829, 0.000001341977, 0.000000484612, 0.000000000000 ],
|
|
[ 830, 0.000001251141, 0.000000451810, 0.000000000000 ]
|
|
]
|
|
|
|
data_wavelength = np.array(_CIEXYZ_1931_table)[:,0]
|
|
data_x = np.array(_CIEXYZ_1931_table)[:,1]
|
|
data_y = np.array(_CIEXYZ_1931_table)[:,2]
|
|
data_z = np.array(_CIEXYZ_1931_table)[:,3]
|
|
|
|
def XYZ2RGB(XYZ):
|
|
return np.dot(XYZ2RGB_matrix, XYZ)
|
|
|
|
def RGB2XYZ(RGB):
|
|
return np.dot(RGB2XYZ_matrix, RGB)
|
|
|
|
def gamma_correct(c):
|
|
if c <= 0.0031308:
|
|
return 12.92 * c
|
|
else:
|
|
return 1.055 * (c ** (1 / 2.4)) - 0.055
|
|
|
|
def vectorized_gamma_correct(array):
|
|
return np.where(array <= 0.0031308, 12.92*array, 1.055*np.power(array, 1/2.4)-0.055)
|
|
|
|
def wavelength2XYZ(wavelength):
|
|
X = np.interp(wavelength, data_wavelength, data_x, 0, 0)
|
|
Y = np.interp(wavelength, data_wavelength, data_y, 0, 0)
|
|
Z = np.interp(wavelength, data_wavelength, data_z, 0, 0)
|
|
return np.array([X,Y,Z])
|
|
|
|
def spectral2XYZ(spectral):
|
|
X = np.dot(spectral, data_x)
|
|
Y = np.dot(spectral, data_y)
|
|
Z = np.dot(spectral, data_z)
|
|
return np.array([X,Y,Z])
|