Colormaps for linear visual perception AND grayscale printing
Didn't see george's answer when I worked this out, but I'll go ahead and post since it has all the maps from that page. The StringReplace here is pretty embarrassing, but I was going for quick and dirty
ClearAll@MPLColorMap
Set[
Evaluate[
MPLColorMap /@
{"Magma", "Inferno", "Plasma", "Viridis",
"EricsRdBuGnYl", "EricsRdBuGnYl2", "EricsPuBuGnYl", "FakeParula",
"JoesBluGrnPnk2"}
],
Function[url,
ReadList[url, "String"][[
Span[#1, #2 - 1] & @@ (Flatten@Position[
StringPosition[test, "cm_data", IgnoreCase -> True],
Except@{}, 1, Heads -> False])]] //
StringReplace[
{"[[" -> "{", "]]" -> "}", "]," -> "}", "[" -> "{", "]" -> "}",
"cm_data = " -> "", "e" -> "*^"}
] // Map@RGBColor@*ToExpression //
Function[x, Blend[#, x]] &] /@ {
"https://raw.githubusercontent.com/BIDS/colormap/master/option_a.py",
"https://raw.githubusercontent.com/BIDS/colormap/master/option_b.py",
"https://raw.githubusercontent.com/BIDS/colormap/master/option_c.py",
"https://raw.githubusercontent.com/BIDS/colormap/master/option_d.py",
"https://github.com/BIDS/colormap/raw/master/erics-RdBuGnYl_r.py",
"https://github.com/BIDS/colormap/raw/master/erics-RdBuGnYl_r_v2.py",
"https://github.com/BIDS/colormap/raw/master/erics_PuBuGnYl_r.py",
"https://github.com/BIDS/colormap/raw/master/fake_parula.py",
"https://github.com/BIDS/colormap/raw/master/joes-blu_grn_pnk2.py"}
]
You can skip that code above and just import the data using
ClearAll[MPLColorMap]
<< "http://pastebin.com/raw/pFsb4ZBS";
Which defines all the color maps as downvalues of MPLColorMap. You can now access the color maps like
MPLColorMap["Magma"][.8]
and use them via
DensityPlot[Sin[x - y], {x, -3, 3}, {y, -3, 3},
ColorFunction -> MPLColorMap["Viridis"]]
Here are all the new color maps shown using the showcolorfunction defined here,
showcolorfunction[MPLColorMap[#]] & /@ {"Magma", "Inferno", "Plasma",
"Viridis", "EricsRdBuGnYl", "EricsRdBuGnYl2", "EricsPuBuGnYl",
"FakeParula", "JoesBluGrnPnk2"}
Thanks to @yarchik, I made it work for Mathematica, by simply replacing [ and ] with { and } using a text editor:
viridis=Module[{colorlist},
colorlist={{0.26700401,0.00487433,0.32941519},{0.26851048,0.00960483,0.33542652},{0.26994384,0.01462494,0.34137895},{0.27130489,0.01994186,0.34726862},{0.27259384,0.02556309,0.35309303},{0.27380934,0.03149748,0.35885256},{0.27495242,0.03775181,0.36454323},{0.27602238,0.04416723,0.37016418},{0.2770184,0.05034437,0.37571452},{0.27794143,0.05632444,0.38119074},{0.27879067,0.06214536,0.38659204},{0.2795655,0.06783587,0.39191723},{0.28026658,0.07341724,0.39716349},{0.28089358,0.07890703,0.40232944},{0.28144581,0.0843197,0.40741404},{0.28192358,0.08966622,0.41241521},{0.28232739,0.09495545,0.41733086},{0.28265633,0.10019576,0.42216032},{0.28291049,0.10539345,0.42690202},{0.28309095,0.11055307,0.43155375},{0.28319704,0.11567966,0.43611482},{0.28322882,0.12077701,0.44058404},{0.28318684,0.12584799,0.44496},{0.283072,0.13089477,0.44924127},{0.28288389,0.13592005,0.45342734},{0.28262297,0.14092556,0.45751726},{0.28229037,0.14591233,0.46150995},{0.28188676,0.15088147,0.46540474},{0.28141228,0.15583425,0.46920128},{0.28086773,0.16077132,0.47289909},{0.28025468,0.16569272,0.47649762},{0.27957399,0.17059884,0.47999675},{0.27882618,0.1754902,0.48339654},{0.27801236,0.18036684,0.48669702},{0.27713437,0.18522836,0.48989831},{0.27619376,0.19007447,0.49300074},{0.27519116,0.1949054,0.49600488},{0.27412802,0.19972086,0.49891131},{0.27300596,0.20452049,0.50172076},{0.27182812,0.20930306,0.50443413},{0.27059473,0.21406899,0.50705243},{0.26930756,0.21881782,0.50957678},{0.26796846,0.22354911,0.5120084},{0.26657984,0.2282621,0.5143487},{0.2651445,0.23295593,0.5165993},{0.2636632,0.23763078,0.51876163},{0.26213801,0.24228619,0.52083736},{0.26057103,0.2469217,0.52282822},{0.25896451,0.25153685,0.52473609},{0.25732244,0.2561304,0.52656332},{0.25564519,0.26070284,0.52831152},{0.25393498,0.26525384,0.52998273},{0.25219404,0.26978306,0.53157905},{0.25042462,0.27429024,0.53310261},{0.24862899,0.27877509,0.53455561},{0.2468114,0.28323662,0.53594093},{0.24497208,0.28767547,0.53726018},{0.24311324,0.29209154,0.53851561},{0.24123708,0.29648471,0.53970946},{0.23934575,0.30085494,0.54084398},{0.23744138,0.30520222,0.5419214},{0.23552606,0.30952657,0.54294396},{0.23360277,0.31382773,0.54391424},{0.2316735,0.3181058,0.54483444},{0.22973926,0.32236127,0.54570633},{0.22780192,0.32659432,0.546532},{0.2258633,0.33080515,0.54731353},{0.22392515,0.334994,0.54805291},{0.22198915,0.33916114,0.54875211},{0.22005691,0.34330688,0.54941304},{0.21812995,0.34743154,0.55003755},{0.21620971,0.35153548,0.55062743},{0.21429757,0.35561907,0.5511844},{0.21239477,0.35968273,0.55171011},{0.2105031,0.36372671,0.55220646},{0.20862342,0.36775151,0.55267486},{0.20675628,0.37175775,0.55311653},{0.20490257,0.37574589,0.55353282},{0.20306309,0.37971644,0.55392505},{0.20123854,0.38366989,0.55429441},{0.1994295,0.38760678,0.55464205},{0.1976365,0.39152762,0.55496905},{0.19585993,0.39543297,0.55527637},{0.19410009,0.39932336,0.55556494},{0.19235719,0.40319934,0.55583559},{0.19063135,0.40706148,0.55608907},{0.18892259,0.41091033,0.55632606},{0.18723083,0.41474645,0.55654717},{0.18555593,0.4185704,0.55675292},{0.18389763,0.42238275,0.55694377},{0.18225561,0.42618405,0.5571201},{0.18062949,0.42997486,0.55728221},{0.17901879,0.43375572,0.55743035},{0.17742298,0.4375272,0.55756466},{0.17584148,0.44128981,0.55768526},{0.17427363,0.4450441,0.55779216},{0.17271876,0.4487906,0.55788532},{0.17117615,0.4525298,0.55796464},{0.16964573,0.45626209,0.55803034},{0.16812641,0.45998802,0.55808199},{0.1666171,0.46370813,0.55811913},{0.16511703,0.4674229,0.55814141},{0.16362543,0.47113278,0.55814842},{0.16214155,0.47483821,0.55813967},{0.16066467,0.47853961,0.55811466},{0.15919413,0.4822374,0.5580728},{0.15772933,0.48593197,0.55801347},{0.15626973,0.4896237,0.557936},{0.15481488,0.49331293,0.55783967},{0.15336445,0.49700003,0.55772371},{0.1519182,0.50068529,0.55758733},{0.15047605,0.50436904,0.55742968},{0.14903918,0.50805136,0.5572505},{0.14760731,0.51173263,0.55704861},{0.14618026,0.51541316,0.55682271},{0.14475863,0.51909319,0.55657181},{0.14334327,0.52277292,0.55629491},{0.14193527,0.52645254,0.55599097},{0.14053599,0.53013219,0.55565893},{0.13914708,0.53381201,0.55529773},{0.13777048,0.53749213,0.55490625},{0.1364085,0.54117264,0.55448339},{0.13506561,0.54485335,0.55402906},{0.13374299,0.54853458,0.55354108},{0.13244401,0.55221637,0.55301828},{0.13117249,0.55589872,0.55245948},{0.1299327,0.55958162,0.55186354},{0.12872938,0.56326503,0.55122927},{0.12756771,0.56694891,0.55055551},{0.12645338,0.57063316,0.5498411},{0.12539383,0.57431754,0.54908564},{0.12439474,0.57800205,0.5482874},{0.12346281,0.58168661,0.54744498},{0.12260562,0.58537105,0.54655722},{0.12183122,0.58905521,0.54562298},{0.12114807,0.59273889,0.54464114},{0.12056501,0.59642187,0.54361058},{0.12009154,0.60010387,0.54253043},{0.11973756,0.60378459,0.54139999},{0.11951163,0.60746388,0.54021751},{0.11942341,0.61114146,0.53898192},{0.11948255,0.61481702,0.53769219},{0.11969858,0.61849025,0.53634733},{0.12008079,0.62216081,0.53494633},{0.12063824,0.62582833,0.53348834},{0.12137972,0.62949242,0.53197275},{0.12231244,0.63315277,0.53039808},{0.12344358,0.63680899,0.52876343},{0.12477953,0.64046069,0.52706792},{0.12632581,0.64410744,0.52531069},{0.12808703,0.64774881,0.52349092},{0.13006688,0.65138436,0.52160791},{0.13226797,0.65501363,0.51966086},{0.13469183,0.65863619,0.5176488},{0.13733921,0.66225157,0.51557101},{0.14020991,0.66585927,0.5134268},{0.14330291,0.66945881,0.51121549},{0.1466164,0.67304968,0.50893644},{0.15014782,0.67663139,0.5065889},{0.15389405,0.68020343,0.50417217},{0.15785146,0.68376525,0.50168574},{0.16201598,0.68731632,0.49912906},{0.1663832,0.69085611,0.49650163},{0.1709484,0.69438405,0.49380294},{0.17570671,0.6978996,0.49103252},{0.18065314,0.70140222,0.48818938},{0.18578266,0.70489133,0.48527326},{0.19109018,0.70836635,0.48228395},{0.19657063,0.71182668,0.47922108},{0.20221902,0.71527175,0.47608431},{0.20803045,0.71870095,0.4728733},{0.21400015,0.72211371,0.46958774},{0.22012381,0.72550945,0.46622638},{0.2263969,0.72888753,0.46278934},{0.23281498,0.73224735,0.45927675},{0.2393739,0.73558828,0.45568838},{0.24606968,0.73890972,0.45202405},{0.25289851,0.74221104,0.44828355},{0.25985676,0.74549162,0.44446673},{0.26694127,0.74875084,0.44057284},{0.27414922,0.75198807,0.4366009},{0.28147681,0.75520266,0.43255207},{0.28892102,0.75839399,0.42842626},{0.29647899,0.76156142,0.42422341},{0.30414796,0.76470433,0.41994346},{0.31192534,0.76782207,0.41558638},{0.3198086,0.77091403,0.41115215},{0.3277958,0.77397953,0.40664011},{0.33588539,0.7770179,0.40204917},{0.34407411,0.78002855,0.39738103},{0.35235985,0.78301086,0.39263579},{0.36074053,0.78596419,0.38781353},{0.3692142,0.78888793,0.38291438},{0.37777892,0.79178146,0.3779385},{0.38643282,0.79464415,0.37288606},{0.39517408,0.79747541,0.36775726},{0.40400101,0.80027461,0.36255223},{0.4129135,0.80304099,0.35726893},{0.42190813,0.80577412,0.35191009},{0.43098317,0.80847343,0.34647607},{0.44013691,0.81113836,0.3409673},{0.44936763,0.81376835,0.33538426},{0.45867362,0.81636288,0.32972749},{0.46805314,0.81892143,0.32399761},{0.47750446,0.82144351,0.31819529},{0.4870258,0.82392862,0.31232133},{0.49661536,0.82637633,0.30637661},{0.5062713,0.82878621,0.30036211},{0.51599182,0.83115784,0.29427888},{0.52577622,0.83349064,0.2881265},{0.5356211,0.83578452,0.28190832},{0.5455244,0.83803918,0.27562602},{0.55548397,0.84025437,0.26928147},{0.5654976,0.8424299,0.26287683},{0.57556297,0.84456561,0.25641457},{0.58567772,0.84666139,0.24989748},{0.59583934,0.84871722,0.24332878},{0.60604528,0.8507331,0.23671214},{0.61629283,0.85270912,0.23005179},{0.62657923,0.85464543,0.22335258},{0.63690157,0.85654226,0.21662012},{0.64725685,0.85839991,0.20986086},{0.65764197,0.86021878,0.20308229},{0.66805369,0.86199932,0.19629307},{0.67848868,0.86374211,0.18950326},{0.68894351,0.86544779,0.18272455},{0.69941463,0.86711711,0.17597055},{0.70989842,0.86875092,0.16925712},{0.72039115,0.87035015,0.16260273},{0.73088902,0.87191584,0.15602894},{0.74138803,0.87344918,0.14956101},{0.75188414,0.87495143,0.14322828},{0.76237342,0.87642392,0.13706449},{0.77285183,0.87786808,0.13110864},{0.78331535,0.87928545,0.12540538},{0.79375994,0.88067763,0.12000532},{0.80418159,0.88204632,0.11496505},{0.81457634,0.88339329,0.11034678},{0.82494028,0.88472036,0.10621724},{0.83526959,0.88602943,0.1026459},{0.84556056,0.88732243,0.09970219},{0.8558096,0.88860134,0.09745186},{0.86601325,0.88986815,0.09595277},{0.87616824,0.89112487,0.09525046},{0.88627146,0.89237353,0.09537439},{0.89632002,0.89361614,0.09633538},{0.90631121,0.89485467,0.09812496},{0.91624212,0.89609127,0.1007168},{0.92610579,0.89732977,0.10407067},{0.93590444,0.8985704,0.10813094},{0.94563626,0.899815,0.11283773},{0.95529972,0.90106534,0.11812832},{0.96489353,0.90232311,0.12394051},{0.97441665,0.90358991,0.13021494},{0.98386829,0.90486726,0.13689671},{0.99324789,0.90615657,0.1439362}};
Evaluate[Blend[RGBColor @@@ colorlist, #] &]
];
BarLegend[{viridis, {0, 1}}]
Edit:
Another Example to visualize the grayscale-improvement ("Rainbow" vs. viridis):
mPlots = ContourPlot[Cos[x] Sin[y], {x, -10, 10}, {y, -10, 10}, PlotRange -> All, ColorFunction -> #, PlotPoints -> 75, ImageSize -> Medium] & /@
{"Rainbow", viridis}
mPlots /. x: _RGBColor | _Hue | _CMYKColor :> ColorConvert[x, "Grayscale"]
we should not need to manually fix the format.. cut-paste from https://github.com/BIDS/colormap/blob/master/option_b.py
pyarray = " [[ 1.46159096e-03, 4.66127766e-04, 1.38655200e-02],
[ 2.26726368e-03, 1.26992553e-03, 1.85703520e-02],
[ 3.29899092e-03, 2.24934863e-03, 2.42390508e-02],
[ 4.54690615e-03, 3.39180156e-03, 3.09092475e-02],
[ 6.00552565e-03, 4.69194561e-03, 3.85578980e-02],
[ 7.67578856e-03, 6.13611626e-03, 4.68360336e-02],
[ 9.56051094e-03, 7.71344131e-03, 5.51430756e-02],
[ 1.16634769e-02, 9.41675403e-03, 6.34598080e-02],
[ 1.39950388e-02, 1.12247138e-02, 7.18616890e-02],
[ 1.65605595e-02, 1.31362262e-02, 8.02817951e-02],
[ 1.93732295e-02, 1.51325789e-02, 8.87668094e-02],
[ 2.24468865e-02, 1.71991484e-02, 9.73274383e-02],
[ 2.57927373e-02, 1.93306298e-02, 1.05929835e-01],
[ 2.94324251e-02, 2.15030771e-02, 1.14621328e-01],
[ 3.33852235e-02, 2.37024271e-02, 1.23397286e-01],
[ 3.76684211e-02, 2.59207864e-02, 1.32232108e-01],
[ 4.22525554e-02, 2.81385015e-02, 1.41140519e-01],
[ 4.69146287e-02, 3.03236129e-02, 1.50163867e-01],
[ 5.16437624e-02, 3.24736172e-02, 1.59254277e-01],
[ 5.64491009e-02, 3.45691867e-02, 1.68413539e-01],
[ 6.13397200e-02, 3.65900213e-02, 1.77642172e-01],
[ 6.63312620e-02, 3.85036268e-02, 1.86961588e-01],
[ 7.14289181e-02, 4.02939095e-02, 1.96353558e-01],
[ 7.66367560e-02, 4.19053329e-02, 2.05798788e-01],
[ 8.19620773e-02, 4.33278666e-02, 2.15289113e-01],
[ 8.74113897e-02, 4.45561662e-02, 2.24813479e-01],
[ 9.29901526e-02, 4.55829503e-02, 2.34357604e-01],
[ 9.87024972e-02, 4.64018731e-02, 2.43903700e-01],
[ 1.04550936e-01, 4.70080541e-02, 2.53430300e-01],
[ 1.10536084e-01, 4.73986708e-02, 2.62912235e-01],
[ 1.16656423e-01, 4.75735920e-02, 2.72320803e-01],
[ 1.22908126e-01, 4.75360183e-02, 2.81624170e-01],
[ 1.29284984e-01, 4.72930838e-02, 2.90788012e-01],
[ 1.35778450e-01, 4.68563678e-02, 2.99776404e-01],
[ 1.42377819e-01, 4.62422566e-02, 3.08552910e-01],
[ 1.49072957e-01, 4.54676444e-02, 3.17085139e-01],
[ 1.55849711e-01, 4.45588056e-02, 3.25338414e-01],
[ 1.62688939e-01, 4.35542881e-02, 3.33276678e-01],
[ 1.69575148e-01, 4.24893149e-02, 3.40874188e-01],
[ 1.76493202e-01, 4.14017089e-02, 3.48110606e-01],
[ 1.83428775e-01, 4.03288858e-02, 3.54971391e-01],
[ 1.90367453e-01, 3.93088888e-02, 3.61446945e-01],
[ 1.97297425e-01, 3.84001825e-02, 3.67534629e-01],
[ 2.04209298e-01, 3.76322609e-02, 3.73237557e-01],
[ 2.11095463e-01, 3.70296488e-02, 3.78563264e-01],
[ 2.17948648e-01, 3.66146049e-02, 3.83522415e-01],
[ 2.24762908e-01, 3.64049901e-02, 3.88128944e-01],
[ 2.31538148e-01, 3.64052511e-02, 3.92400150e-01],
[ 2.38272961e-01, 3.66209949e-02, 3.96353388e-01],
[ 2.44966911e-01, 3.70545017e-02, 4.00006615e-01],
[ 2.51620354e-01, 3.77052832e-02, 4.03377897e-01],
[ 2.58234265e-01, 3.85706153e-02, 4.06485031e-01],
[ 2.64809649e-01, 3.96468666e-02, 4.09345373e-01],
[ 2.71346664e-01, 4.09215821e-02, 4.11976086e-01],
[ 2.77849829e-01, 4.23528741e-02, 4.14392106e-01],
[ 2.84321318e-01, 4.39325787e-02, 4.16607861e-01],
[ 2.90763373e-01, 4.56437598e-02, 4.18636756e-01],
[ 2.97178251e-01, 4.74700293e-02, 4.20491164e-01],
[ 3.03568182e-01, 4.93958927e-02, 4.22182449e-01],
[ 3.09935342e-01, 5.14069729e-02, 4.23720999e-01],
[ 3.16281835e-01, 5.34901321e-02, 4.25116277e-01],
[ 3.22609671e-01, 5.56335178e-02, 4.26376869e-01],
[ 3.28920763e-01, 5.78265505e-02, 4.27510546e-01],
[ 3.35216916e-01, 6.00598734e-02, 4.28524320e-01],
[ 3.41499828e-01, 6.23252772e-02, 4.29424503e-01],
[ 3.47771086e-01, 6.46156100e-02, 4.30216765e-01],
[ 3.54032169e-01, 6.69246832e-02, 4.30906186e-01],
[ 3.60284449e-01, 6.92471753e-02, 4.31497309e-01],
[ 3.66529195e-01, 7.15785403e-02, 4.31994185e-01],
[ 3.72767575e-01, 7.39149211e-02, 4.32400419e-01],
[ 3.79000659e-01, 7.62530701e-02, 4.32719214e-01],
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[ 9.53215092e-01, 8.88942277e-01, 3.51368713e-01],
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[ 9.50018481e-01, 9.03409063e-01, 3.80271225e-01],
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[ 9.46809163e-01, 9.24168246e-01, 4.26373236e-01],
[ 9.46391536e-01, 9.30760752e-01, 4.42367495e-01],
[ 9.46402951e-01, 9.37158971e-01, 4.58591507e-01],
[ 9.46902568e-01, 9.43347775e-01, 4.74969778e-01],
[ 9.47936825e-01, 9.49317522e-01, 4.91426053e-01],
[ 9.49544830e-01, 9.55062900e-01, 5.07859649e-01],
[ 9.51740304e-01, 9.60586693e-01, 5.24203026e-01],
[ 9.54529281e-01, 9.65895868e-01, 5.40360752e-01],
[ 9.57896053e-01, 9.71003330e-01, 5.56275090e-01],
[ 9.61812020e-01, 9.75924241e-01, 5.71925382e-01],
[ 9.66248822e-01, 9.80678193e-01, 5.87205773e-01],
[ 9.71161622e-01, 9.85282161e-01, 6.02154330e-01],
[ 9.76510983e-01, 9.89753437e-01, 6.16760413e-01],
[ 9.82257307e-01, 9.94108844e-01, 6.31017009e-01], [ 9.88362068e-01, 9.98364143e-01, 6.44924005e-01]]"
the tough part is converting the e- format:
pyArrayToList[p_String] :=
ToExpression@
StringReplace[
p, {m : NumberString ~~ "e" ~~ exp : NumberString :>
m <> " 10^" <> exp, "[" -> "{", "]" -> "}"}]
inferno = With[{x = RGBColor @@@ pyArrayToList@pyarray}, Blend[x, #] &];
BarLegend[{inferno, {0, 1}}]
note per comment by @Kuba this works as well:
inferno = With[{x=RGBColor @@@ ImportString[pyarray, "JSON"]},Blend[x, #] &];
the StringReplace is actually a tad faster, but not so much to make a difference.