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:(adsbygoogle = window.adsbygoogle || []).push({});

Ʃa_{i,j}x^{i}y^{j}= 0

However, I still need to limit the a_{i,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).

Thanks.

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# General simple closed curve equation

Can you offer guidance or do you also need help?

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