Howard Nager wrote:

Thanks - the buttons are rectangular - any tips on how to calculate the corner 
positions if the displacement map is a gradient distorting on both x and y?

I don't know the math behind the displacement map (I glanced at the formula and decided not to figure it out unless I had to!) If you do a little trial and error until you can get a single point to match, you should be able to calculate exactly how each gray value translates each point. The documentation for the DisplacementMapFilter object does list the formula, which should be a good starting point.
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