Extract color map from png apply to grayscale image

How can I apply a color map as close as possible to the one in given color image to a grayscale image which is of the same subject, but from a different angle and of different size?

None of the built-in color maps seemed to be close.

I thought maybe trying to 'extract' a color map from the color image might work and tried using @DGM's solution at https://www.mathworks.com/matlabcentral/answers/1839998-how-to-convert-a-gray-scale-image-of-thermal-camera-to-colored-one#answer_1087853, but I'd like to get the color range to match the coloring of the color image as much as possible. It doesn't need to use this method, it was just something I tried.

Answer 1

[Walter Roberson]

Use rgb2ind() on the colored image, and take the second output as being the color map.

[~, cmap] = rgb2ind(TheColoredImage);
image(TheGrayImage); colormap(cmap)