I am trying to customize the color data


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I want to make color data function of the gradient starting from the green to the white instead of the green to the yellow. So I want the output such that,


enter image description here

Any suggestions?


1 Answer 1


If you inspect the InputForm of the "ColorFunction" property for "AvocadoColors" you see that it uses Blend with a list of colors:

ColorData["AvocadoColors", "ColorFunction"] // InputForm
ColorDataFunction["AvocadoColors", "Gradients", {0, 1}, Blend["AvocadoColors", #1] &]

Similarly, for "Rainbow" and other gradient color schemes:

ColorData["Rainbow", "ColorFunction"] // InputForm
 ColorDataFunction["Rainbow", "Gradients", {0, 1}, Blend["Rainbow", #1] & ] 

The function DataPaclets`ColorData`GetBlendArgument gives the list of colors used in Blend:

clist = DataPaclets`ColorData`GetBlendArgument["AvocadoColors"]

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Now you can replace the last color with White and use with Blend:

mycolorFunc = Blend[Append[Most[clist], White], #] &;

This function retains the yellow tones in the middle of the list. Alternatively, you can have White play the role of Yellow in your new color scheme using blends of the second color with White to construct an alternative list of blending colors:

myclist  = Prepend[FoldList[Blend[{#, White},#2]&, clist[[2]], {1, 2, 3}/3] , clist[[1]]]

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mycolorFunc2 = Blend[myclist, #]&;


Row[Plot3D[Sin[x y], {x, 0, 3}, {y, 0, 3}, ColorFunction -> #, ImageSize -> Medium]& /@
  {"AvocadoColors", mycolorFunc[#3] &, mycolorFunc2[#3] &}]

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Style[Row[LinearGradientImage/@{"AvocadoColors", mycolorFunc, mycolorFunc2}, 
 Spacer[10]], ImageSizeMultipliers->{1,1}]

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To add your custom color function to the existing color schemes you can use this answer by Mr. Wizard:

new = {{"myColorFunction", "", {}}, {"Gradients"}, 1, {0, 1}, myclist, ""};
AppendTo[DataPaclets`ColorDataDump`colorSchemes,  new];
AppendTo[DataPaclets`ColorDataDump`colorSchemeNames,  "myColorFunction"];


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BarLegend["myColorFunction", LegendLayout -> "Row", LegendMarkerSize -> {400, 100}]

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PieChart[Range[10], ColorFunction -> "myColorFunction"]

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  • $\begingroup$ DataPacletsColorDataGetBlendArgument is not working for me, do I need package? It gave me error "Pick::incomp" "Expressions {xxxxxxx} have incompatible shapes $\endgroup$
    – Saesun Kim
    Jul 16, 2019 at 14:45
  • $\begingroup$ @SaesunKim, it works both in v12 (Wolfram Cloud) and in version 9 (Windows10). What version/os are you using? $\endgroup$
    – kglr
    Jul 16, 2019 at 15:52
  • $\begingroup$ I am using 11, let me update the version and try again. Thank you $\endgroup$
    – Saesun Kim
    Jul 16, 2019 at 20:35
  • 1
    $\begingroup$ It is working, not because of the version. I just restart the MMA. Thank you $\endgroup$
    – Saesun Kim
    Jul 16, 2019 at 20:44

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