approximating a surface with a spline

Hi everyone,

I need a suggestion on where to start.

The problem that I am interested in is as follows:

I have a 2D polygon and what I want to do is approximate it using a
spline with as few control points as possible. Does anyone have any
idea of papers or book which I could look at to gtet some idea on how
to solve such a problem.

I guess at heart it could be viewed as a constrained optimization
problem. However, I am not sure how one would go about formulating the
solver.

Thanks,
Luc
.

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