Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am doing some numerical computations searching for an optimal shape for a certain functional. In my particular case, the shape $\Omega$ is a 2 dimensional star shaped domain by the origin, which means that its boundary can be completely characterized by the radial function $r(\theta)$. Developing $r$ into a Fourier series $r(\theta)=a_0/2+\sum a_n \cos(n\theta)+\sum b_n \sin (n\theta)$ and truncating to the first $M$ sin and cos coefficients we can get a pretty good approximation of the actual shape using only a finite number of parameters ($2M+1$).

Do you know any similar ways to characterize a general shape using only a finite number of parameters?

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.