How to interpolate the outline of 2d grid points

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I have data at x and y coordinates that represent a shape, say like a circle. I want to interpolate, somehow, to find values at query points along the outline, where the x and y values might not be strictly monotonic. What is the best function to do that? Thanks

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Walter Roberson
Walter Roberson 2014-3-20
Some shapes can be made monotonic in theta (angle) with the origin at the centroid of the object.
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Mark
Mark 2014-3-20
Thanks for the help Walter. Is there a particular function or option in a function you are referring to? Or is it a mathematical manipulation of something like interp1?

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