Updated color ramp calculation in Redshift 1.9 ============================================== Ingo Thies, 2013 The original version of Redshift uses an RGB table from http://www.vendian.org/mncharity/dir3/blackbody/UnstableURLs/bbr_color.html which contains x,y chromaticities as well as decimal and integer/hex RGB data. Unfortunately, the decimal values used for Redshift are not gamma-corrected while the others are. The gamma correction is part of the sRGB specifications and is described in detail at http://en.wikipedia.org/wiki/SRGB. It can roughly be approximated by a power law with an exponent gamma about 2.2. Omitting this correction results in exaggerated color values. A minor issue concerns the standard whitepoints which are slightly off the Planckian locus. In particular, D65 (which corresponds to maximized RGB=1,1,1 in sRGB) contains slightly more green than 6500 K blackbody color. The developers of Redshift solved this by rescaling the RGB values to match 1,1,1 at 6500 K. This, however, leads to slightly incorrect colors. The corrected color ramp is calculated by the actual Planckian locus below 5000 kelvins and CIE daylight standard above with an interpolation between these limits. The x,y chromaticities are calculated by using the method described in http://en.wikipedia.org/wiki/Standard_illuminant#Illuminant_series_D for daylight and by integrating the CIE 1931 color-matching functions for the blackbody spectrum to obtain the Planckian locus. The advantage of using the D-type whitepoint is that D65 is already at RGB=1,1,1, so in principle no adjustment is required. In practice, minor deviations remain, mainly due to the fact that D65 is actually at 6504 K (a consequence of different values for the physical constants being used in the 1960's when D65 was defined) and also due to rounding issues. This is fixed by a slight adjustment of RGB which is negligible in practice. Below are the RGB, x,y and u,v values of the hybrid color ramp used here. Plots of x,y and u,v can be found in xy1931chart.png and uv1960chart.png. The Planckian locus is the smooth curve in the middle of the kelvin tics. The colorramp used in modified Redshift is the one shifting upwards above 5000 K. The official definition of the daylight locus extends down to 4000 K, including D55 and D50 standard illuminants. However, to my eyes the color tone looks more natural for color temperatures below 6500 K if switched back to Planckian. For this mere reason the curve shifts to Planckian already between 6500 and and 5000 K rather than below 5000 K. Note that the color ramp ends at 25100 K instead of the intended maximum of 25000 K. This is to avoid an array overflow in the interpolation procedure. In the original Redshift the max. value of 10000 K could never be used for this reason. kelvins mireds RGB x,y u,v 1000.00 1000.000 1.00000000 0.18172716 0.00000000 0.65273323 0.34447987 0.44797565 0.35462863 1100.00 909.091 1.00000000 0.25503671 0.00000000 0.63873894 0.35651626 0.42577506 0.35647365 1200.00 833.333 1.00000000 0.30942099 0.00000000 0.62502772 0.36747333 0.40588690 0.35795039 1300.00 769.231 1.00000000 0.35357379 0.00000000 0.61161486 0.37725198 0.38809317 0.35907136 1400.00 714.286 1.00000000 0.39091524 0.00000000 0.59850510 0.38580851 0.37216463 0.35985729 1500.00 666.667 1.00000000 0.42322816 0.00000000 0.58570272 0.39314233 0.35788307 0.36033379 1600.00 625.000 1.00000000 0.45159884 0.00000000 0.57321532 0.39928597 0.34505055 0.36052904 1700.00 588.235 1.00000000 0.47675916 0.00000000 0.56105421 0.40429655 0.33349186 0.36047214 1800.00 555.556 1.00000000 0.49923747 0.00000000 0.54923312 0.40824837 0.32305388 0.36019191 1900.00 526.316 1.00000000 0.51943421 0.00000000 0.53776653 0.41122667 0.31360366 0.35971610 2000.00 500.000 1.00000000 0.54360078 0.08679949 0.52666805 0.41332243 0.30502601 0.35907083 2100.00 476.190 1.00000000 0.56618736 0.14065513 0.51594919 0.41462823 0.29722115 0.35828027 2200.00 454.545 1.00000000 0.58734976 0.18362641 0.50561853 0.41523508 0.29010253 0.35736649 2300.00 434.783 1.00000000 0.60724493 0.22137978 0.49568136 0.41523016 0.28359494 0.35634941 2400.00 416.667 1.00000000 0.62600248 0.25591950 0.48613958 0.41469527 0.27763286 0.35524684 2500.00 400.000 1.00000000 0.64373109 0.28819679 0.47699184 0.41370588 0.27215903 0.35407459 2600.00 384.615 1.00000000 0.66052319 0.31873863 0.46823386 0.41233069 0.26712334 0.35284660 2700.00 370.370 1.00000000 0.67645822 0.34786758 0.45985885 0.41063151 0.26248174 0.35157507 2800.00 357.143 1.00000000 0.69160518 0.37579588 0.45185787 0.40866340 0.25819546 0.35027065 2900.00 344.828 1.00000000 0.70602449 0.40267128 0.44422033 0.40647504 0.25423026 0.34894256 3000.00 333.333 1.00000000 0.71976951 0.42860152 0.43693431 0.40410911 0.25055582 0.34759878 3100.00 322.581 1.00000000 0.73288760 0.45366838 0.42998698 0.40160280 0.24714525 0.34624614 3200.00 312.500 1.00000000 0.74542112 0.47793608 0.42336490 0.39898835 0.24397461 0.34489052 3300.00 303.030 1.00000000 0.75740814 0.50145662 0.41705424 0.39629352 0.24102257 0.34353691 3400.00 294.118 1.00000000 0.76888303 0.52427322 0.41104108 0.39354213 0.23827007 0.34218955 3500.00 285.714 1.00000000 0.77987699 0.54642268 0.40531154 0.39075447 0.23570001 0.34085200 3600.00 277.778 1.00000000 0.79041843 0.56793692 0.39985192 0.38794778 0.23329708 0.33952726 3700.00 270.270 1.00000000 0.80053332 0.58884417 0.39464885 0.38513659 0.23104750 0.33821781 3800.00 263.158 1.00000000 0.81024551 0.60916971 0.38968931 0.38233313 0.22893883 0.33692571 3900.00 256.410 1.00000000 0.81957693 0.62893653 0.38496077 0.37954757 0.22695986 0.33565263 4000.00 250.000 1.00000000 0.82854786 0.64816570 0.38045117 0.37678834 0.22510046 0.33439993 4100.00 243.902 1.00000000 0.83717703 0.66687674 0.37614896 0.37406236 0.22335143 0.33316866 4200.00 238.095 1.00000000 0.84548188 0.68508786 0.37204315 0.37137528 0.22170443 0.33195966 4300.00 232.558 1.00000000 0.85347859 0.70281616 0.36812324 0.36873160 0.22015187 0.33077353 4400.00 227.273 1.00000000 0.86118227 0.72007777 0.36437931 0.36613489 0.21868685 0.32961072 4500.00 222.222 1.00000000 0.86860704 0.73688797 0.36080191 0.36358791 0.21730306 0.32847151 4600.00 217.391 1.00000000 0.87576611 0.75326132 0.35738213 0.36109274 0.21599475 0.32735605 4700.00 212.766 1.00000000 0.88267187 0.76921169 0.35411155 0.35865086 0.21475665 0.32626438 4800.00 208.333 1.00000000 0.88933596 0.78475236 0.35098221 0.35626326 0.21358394 0.32519645 4900.00 204.082 1.00000000 0.89576933 0.79989606 0.34798660 0.35393053 0.21247220 0.32415212 5000.00 200.000 1.00000000 0.90198230 0.81465502 0.34511765 0.35165288 0.21141735 0.32313121 5100.00 196.078 1.00000000 0.90963069 0.82838210 0.34241203 0.35001272 0.21021935 0.32232854 5200.00 192.308 1.00000000 0.91710889 0.84190889 0.33979886 0.34839077 0.20907188 0.32153748 5300.00 188.679 1.00000000 0.92441842 0.85523742 0.33727444 0.34678727 0.20797270 0.32075786 5400.00 185.185 1.00000000 0.93156127 0.86836903 0.33483529 0.34520270 0.20691958 0.31998956 5500.00 181.818 1.00000000 0.93853986 0.88130458 0.33247815 0.34363762 0.20591041 0.31923255 5600.00 178.571 1.00000000 0.94535695 0.89404470 0.33019990 0.34209270 0.20494313 0.31848685 5700.00 175.439 1.00000000 0.95201559 0.90658983 0.32799758 0.34056863 0.20401576 0.31775250 5800.00 172.414 1.00000000 0.95851906 0.91894041 0.32586836 0.33906607 0.20312639 0.31702955 5900.00 169.492 1.00000000 0.96487079 0.93109690 0.32380952 0.33758570 0.20227319 0.31631809 6000.00 166.667 1.00000000 0.97107439 0.94305985 0.32181844 0.33612812 0.20145443 0.31561817 6100.00 163.934 1.00000000 0.97713351 0.95482993 0.31989262 0.33469388 0.20066842 0.31492986 6200.00 161.290 1.00000000 0.98305189 0.96640795 0.31802964 0.33328348 0.19991358 0.31425322 6300.00 158.730 1.00000000 0.98883326 0.97779486 0.31622718 0.33189733 0.19918839 0.31358829 6400.00 156.250 1.00000000 0.99448139 0.98899179 0.31448300 0.33053578 0.19849141 0.31293509 6500.00 153.846 1.00000000 1.00000000 1.00000000 0.31279496 0.32919912 0.19782126 0.31229365 6600.00 151.515 0.98947904 0.99348723 1.00000000 0.31120243 0.32761002 0.19730962 0.31156863 6700.00 149.254 0.97940448 0.98722715 1.00000000 0.30966650 0.32606300 0.19681912 0.31086072 6800.00 147.059 0.96975025 0.98120637 1.00000000 0.30818460 0.32455698 0.19634862 0.31016953 6900.00 144.928 0.96049223 0.97541240 1.00000000 0.30675427 0.32309087 0.19589702 0.30949467 7000.00 142.857 0.95160805 0.96983355 1.00000000 0.30537319 0.32166361 0.19546333 0.30883576 7100.00 140.845 0.94303638 0.96443333 1.00000000 0.30403281 0.32026747 0.19504461 0.30818933 7200.00 138.889 0.93480451 0.95923080 1.00000000 0.30273830 0.31890887 0.19464226 0.30755844 7300.00 136.986 0.92689056 0.95421394 1.00000000 0.30148708 0.31758616 0.19425527 0.30694243 7400.00 135.135 0.91927697 0.94937330 1.00000000 0.30027715 0.31629817 0.19388281 0.30634088 7500.00 133.333 0.91194747 0.94470005 1.00000000 0.29910666 0.31504380 0.19352414 0.30575337 7600.00 131.579 0.90488690 0.94018594 1.00000000 0.29797383 0.31382196 0.19317853 0.30517949 7700.00 129.870 0.89808115 0.93582323 1.00000000 0.29687698 0.31263161 0.19284534 0.30461885 7800.00 128.205 0.89151710 0.93160469 1.00000000 0.29581456 0.31147172 0.19252394 0.30407106 7900.00 126.582 0.88518247 0.92752354 1.00000000 0.29478506 0.31034133 0.19221375 0.30353576 8000.00 125.000 0.87906581 0.92357340 1.00000000 0.29378708 0.30923947 0.19191423 0.30301259 8100.00 123.457 0.87315640 0.91974827 1.00000000 0.29281928 0.30816524 0.19162486 0.30250119 8200.00 121.951 0.86744421 0.91604254 1.00000000 0.29188041 0.30711774 0.19134517 0.30200123 8300.00 120.482 0.86191983 0.91245088 1.00000000 0.29096927 0.30609613 0.19107470 0.30151239 8400.00 119.048 0.85657444 0.90896831 1.00000000 0.29008472 0.30509957 0.19081303 0.30103433 8500.00 117.647 0.85139976 0.90559011 1.00000000 0.28922569 0.30412727 0.19055976 0.30056676 8600.00 116.279 0.84638799 0.90231183 1.00000000 0.28839116 0.30317845 0.19031452 0.30010938 8700.00 114.943 0.84153180 0.89912926 1.00000000 0.28758016 0.30225239 0.19007694 0.29966190 8800.00 113.636 0.83682430 0.89603843 1.00000000 0.28679177 0.30134837 0.18984670 0.29922403 8900.00 112.360 0.83225897 0.89303558 1.00000000 0.28602511 0.30046569 0.18962347 0.29879552 9000.00 111.111 0.82782969 0.89011714 1.00000000 0.28527935 0.29960369 0.18940696 0.29837609 9100.00 109.890 0.82353066 0.88727974 1.00000000 0.28455370 0.29876173 0.18919689 0.29796550 9200.00 108.696 0.81935641 0.88452017 1.00000000 0.28384740 0.29793919 0.18899298 0.29756349 9300.00 107.527 0.81530175 0.88183541 1.00000000 0.28315974 0.29713548 0.18879499 0.29716984 9400.00 106.383 0.81136180 0.87922257 1.00000000 0.28249004 0.29635003 0.18860267 0.29678431 9500.00 105.263 0.80753191 0.87667891 1.00000000 0.28183762 0.29558228 0.18841579 0.29640668 9600.00 104.167 0.80380769 0.87420182 1.00000000 0.28120189 0.29483169 0.18823415 0.29603673 9700.00 103.093 0.80018497 0.87178882 1.00000000 0.28058223 0.29409775 0.18805752 0.29567426 9800.00 102.041 0.79665980 0.86943756 1.00000000 0.27997808 0.29337997 0.18788573 0.29531906 9900.00 101.010 0.79322843 0.86714579 1.00000000 0.27938891 0.29267787 0.18771858 0.29497094 10000.00 100.000 0.78988728 0.86491137 1.00000000 0.27881418 0.29199098 0.18755589 0.29462971 10100.00 99.010 0.78663296 0.86273225 1.00000000 0.27825341 0.29131886 0.18739750 0.29429519 10200.00 98.039 0.78346225 0.86060650 1.00000000 0.27770613 0.29066108 0.18724326 0.29396720 10300.00 97.087 0.78037207 0.85853224 1.00000000 0.27717187 0.29001723 0.18709300 0.29364556 10400.00 96.154 0.77735950 0.85650771 1.00000000 0.27665020 0.28938690 0.18694658 0.29333012 10500.00 95.238 0.77442176 0.85453121 1.00000000 0.27614071 0.28876971 0.18680386 0.29302070 10600.00 94.340 0.77155617 0.85260112 1.00000000 0.27564300 0.28816528 0.18666472 0.29271716 10700.00 93.458 0.76876022 0.85071588 1.00000000 0.27515669 0.28757326 0.18652902 0.29241934 10800.00 92.593 0.76603147 0.84887402 1.00000000 0.27468141 0.28699330 0.18639665 0.29212710 10900.00 91.743 0.76336762 0.84707411 1.00000000 0.27421680 0.28642506 0.18626749 0.29184030 11000.00 90.909 0.76076645 0.84531479 1.00000000 0.27376254 0.28586822 0.18614142 0.29155879 11100.00 90.090 0.75822586 0.84359476 1.00000000 0.27331830 0.28532246 0.18601836 0.29128244 11200.00 89.286 0.75574383 0.84191277 1.00000000 0.27288377 0.28478748 0.18589819 0.29101113 11300.00 88.496 0.75331843 0.84026762 1.00000000 0.27245865 0.28426300 0.18578081 0.29074473 11400.00 87.719 0.75094780 0.83865816 1.00000000 0.27204265 0.28374872 0.18566615 0.29048312 11500.00 86.957 0.74863017 0.83708329 1.00000000 0.27163550 0.28324437 0.18555410 0.29022618 11600.00 86.207 0.74636386 0.83554194 1.00000000 0.27123693 0.28274970 0.18544459 0.28997379 11700.00 85.470 0.74414722 0.83403311 1.00000000 0.27084669 0.28226443 0.18533753 0.28972585 11800.00 84.746 0.74197871 0.83255582 1.00000000 0.27046454 0.28178833 0.18523284 0.28948224 11900.00 84.034 0.73985682 0.83110912 1.00000000 0.27009023 0.28132116 0.18513046 0.28924287 12000.00 83.333 0.73778012 0.82969211 1.00000000 0.26972354 0.28086268 0.18503030 0.28900764 12100.00 82.645 0.73574723 0.82830393 1.00000000 0.26936425 0.28041268 0.18493231 0.28877643 12200.00 81.967 0.73375683 0.82694373 1.00000000 0.26901215 0.27997093 0.18483641 0.28854917 12300.00 81.301 0.73180765 0.82561071 1.00000000 0.26866703 0.27953722 0.18474254 0.28832575 12400.00 80.645 0.72989845 0.82430410 1.00000000 0.26832871 0.27911135 0.18465064 0.28810608 12500.00 80.000 0.72802807 0.82302316 1.00000000 0.26799699 0.27869313 0.18456065 0.28789009 12600.00 79.365 0.72619537 0.82176715 1.00000000 0.26767169 0.27828236 0.18447252 0.28767768 12700.00 78.740 0.72439927 0.82053539 1.00000000 0.26735264 0.27787886 0.18438618 0.28746877 12800.00 78.125 0.72263872 0.81932722 1.00000000 0.26703966 0.27748244 0.18430160 0.28726328 12900.00 77.519 0.72091270 0.81814197 1.00000000 0.26673259 0.27709295 0.18421871 0.28706114 13000.00 76.923 0.71922025 0.81697905 1.00000000 0.26643127 0.27671020 0.18413748 0.28686226 13100.00 76.336 0.71756043 0.81583783 1.00000000 0.26613555 0.27633403 0.18405784 0.28666658 13200.00 75.758 0.71593234 0.81471775 1.00000000 0.26584529 0.27596430 0.18397977 0.28647403 13300.00 75.188 0.71433510 0.81361825 1.00000000 0.26556034 0.27560083 0.18390321 0.28628453 13400.00 74.627 0.71276788 0.81253878 1.00000000 0.26528056 0.27524349 0.18382812 0.28609801 13500.00 74.074 0.71122987 0.81147883 1.00000000 0.26500582 0.27489213 0.18375447 0.28591442 13600.00 73.529 0.70972029 0.81043789 1.00000000 0.26473599 0.27454660 0.18368221 0.28573368 13700.00 72.993 0.70823838 0.80941546 1.00000000 0.26447094 0.27420679 0.18361130 0.28555574 13800.00 72.464 0.70678342 0.80841109 1.00000000 0.26421057 0.27387254 0.18354172 0.28538054 13900.00 71.942 0.70535469 0.80742432 1.00000000 0.26395474 0.27354374 0.18347342 0.28520801 14000.00 71.429 0.70395153 0.80645469 1.00000000 0.26370334 0.27322025 0.18340637 0.28503811 14100.00 70.922 0.70257327 0.80550180 1.00000000 0.26345628 0.27290197 0.18334054 0.28487076 14200.00 70.423 0.70121928 0.80456522 1.00000000 0.26321343 0.27258876 0.18327590 0.28470593 14300.00 69.930 0.69988894 0.80364455 1.00000000 0.26297471 0.27228052 0.18321241 0.28454355 14400.00 69.444 0.69858167 0.80273941 1.00000000 0.26274000 0.27197714 0.18315005 0.28438358 14500.00 68.966 0.69729688 0.80184943 1.00000000 0.26250922 0.27167851 0.18308879 0.28422596 14600.00 68.493 0.69603402 0.80097423 1.00000000 0.26228226 0.27138452 0.18302860 0.28407066 14700.00 68.027 0.69479255 0.80011347 1.00000000 0.26205905 0.27109507 0.18296946 0.28391761 14800.00 67.568 0.69357196 0.79926681 1.00000000 0.26183948 0.27081007 0.18291133 0.28376677 14900.00 67.114 0.69237173 0.79843391 1.00000000 0.26162348 0.27052941 0.18285419 0.28361811 15000.00 66.667 0.69119138 0.79761446 1.00000000 0.26141097 0.27025301 0.18279803 0.28347157 15100.00 66.225 0.69003044 0.79680814 1.00000000 0.26120186 0.26998077 0.18274281 0.28332711 15200.00 65.789 0.68888844 0.79601466 1.00000000 0.26099608 0.26971261 0.18268851 0.28318469 15300.00 65.359 0.68776494 0.79523371 1.00000000 0.26079354 0.26944843 0.18263512 0.28304427 15400.00 64.935 0.68665951 0.79446502 1.00000000 0.26059419 0.26918816 0.18258260 0.28290581 15500.00 64.516 0.68557173 0.79370830 1.00000000 0.26039794 0.26893170 0.18253094 0.28276927 15600.00 64.103 0.68450119 0.79296330 1.00000000 0.26020473 0.26867900 0.18248012 0.28263462 15700.00 63.694 0.68344751 0.79222975 1.00000000 0.26001448 0.26842995 0.18243012 0.28250182 15800.00 63.291 0.68241029 0.79150740 1.00000000 0.25982715 0.26818450 0.18238092 0.28237083 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