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Does anyone know of a library (any language, though preferably python/R/matlab) for parametric curve fitting, i.e. if you have a set of points in the plane {(x_i,y_i)} you can find parameter estimates for two (polynomial) functions y=f_y(t) and x=f_x(t) for some (arc-length?) parametrization t? This is especially useful if you have some multi-valued function (e.g. a circle) for which regression wouldn't work.

There are a number of papers detailing algorithms (e.g. 'Parametric Curve Fitting', Grossman 1971) but I can't find any corresponding software that would save a lot of time coding up.

kezz_smc
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  • Asking for library recommendations is usually considered as "off topic" on stackoverflow. This question is likely to be closed soon. – Marco13 Dec 15 '14 at 13:37
  • Is there a suitable forum stack exchange or otherwise on which to ask this? – kezz_smc Dec 15 '14 at 13:40
  • You might want to have a look at http://meta.stackexchange.com/questions/224904/where-can-i-ask-what-library-can-i-use-to-do-x – Marco13 Dec 15 '14 at 13:47
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    It's more that after half a day of googling, I couldn't find such a thing _anywhere_, so it hopefully wouldn't lead to anything opinion based other than it does/not exist. But I take your point – kezz_smc Dec 15 '14 at 13:55

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For future reference, I ended up using the princurve library in R based on principal curves by Trevor Hastie.

kezz_smc
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