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Editorial Team
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Asked: 2026-05-21T14:48:01+00:00

Reading this question on importing ColorData from matlab, I was wondering if there is

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Reading this question on importing ColorData from matlab, I was wondering if there is a way to change the range of values over which the ColorFunction is scaled. That was probably not entirely clear, so let me show with a figure from matlab (the same example as in the previous question is used)

enter image description here

The plot on the left is the original, with the ColorData mapped to the data values between -1 and 1. Now, I can easily set it to be mapped to the data values between 0 and 1, the result being that all values less than 0 are assigned blue color (lowest in the colormap). PlotRange is the closest function, and using ClippingStyle in addition to that produces a similar figure. However, it doesn’t re-scale the ColorData to map to the plot range.

How can I do this in Mathematica?

BTW, to insert colorbars using Mathematica, you can look at this function

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1 Answer

  1. Editorial Team

    Here’s a function applied to a surface:

    Plot3D[x + y, {x, -2, 2}, {y, -2, 2}, 
 ColorFunction -> (ColorData["Rainbow", #3] &), Mesh -> {{1}, {1}}]

    To look at the top-right corner, with the same color function and scaling, I set ColorFunctionScaling -> False, and manually scale the color function to map the (global) minimum to zero and the maximum to one using Rescale:

    Plot3D[x + y, {x, 1, 2}, {y, 1, 2}, ColorFunctionScaling -> False,
 ColorFunction -> (ColorData["Rainbow", Rescale[#3, {-4, 4}, {0, 1}]] &)]

    screenshot of the two plots

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