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

General simple closed curve equation

  1. Nov 28, 2012 #1
    I have a list of points on a 2D simple closed curve and I'd like to approximate that curve using a polynomial such that the approximation will be given by:
    Ʃai,jxiyj = 0

    However, I still need to limit the ai,j to make sure the approximation is also a simple closed curve, while still keeping the equation as general as possible(so it can be used for all sorts of simple closed curves).

    I haven't found a general equation such as this, and I was hoping you guys could point me in the right direction(or just tell me if such a thing doesn't exist).

  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

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