Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

    Thanks,
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Appropriate orthogonal functions for 2D shapes
  1. Shape functions in fea (Replies: 1)

Loading...