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Appropriate orthogonal functions for 2D shapes

  1. Feb 3, 2013 #1
    I want to represent the outline of a 2D shape. I was thinking of using a fourier series since I could just imagine the outline being a function with period 2.pi wrapped around such that the start meets the end.

    However, I never want the function to be negative since the function represents the distance from the centre. With a fourier series enforcing this condition is inelegant.

    Is there another set of orthogonal functions that would be more appropriate for this task? I'm thinking of something like spherical harmonics but flattened down to 2d shapes.

  2. jcsd
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