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Hi everybody,

I'm about to write my thesis and now write a chapter about the basics of Spline Curve Interpolation. I read a bunch of articles on parameterization, especially on Arc-Length parameterization and there is one thing I always wondered about:

is there any terms to describe or prove the quality of a parameterization method? E.g. is there a way to prove that an arc-length parameterization (although it can only be approximated) is an optimal solution in some terms like smoothness or something else. I found this point was never really described in the articles.

Thanks for your help

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