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How to use a suitable color bar?

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Kelvin
Kelvin 2016-3-9
关闭： MATLAB Answer Bot 2021-8-20
I have a picture which shows the magnitude of some value in terms of color, like this one:
https://www.dropbox.com/s/yoh0n9cqftvrtlz/bar.jpg?dl=0
The higher the magnitude, the more it looks red. However there are only a few points at the edge has very high values and most of the points have much lower values. If a colorbar with equal intervals is used the picture just looks blue throughout and the values in most areas cannot be distinguished.
Is it possible to set a colorbar that has, say, exponentially increasing intervals (or others) so that the center part can also show different colors?

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