Hi Roger,

On Thu, Jan 20, 2022, at 07:13, roger.dav...@geo-spatial.co.uk wrote:
> I use a CAD package called Rhino which lets users write python scripts 
> that run in the cad environment. I have a closed curve that is a design 
> surface border and I have a sparse data set of 2D surveyed points taken 
> around that border, so some error is included in the 2D data set. I 
> would like to know what python function I could use to do a 2D best fit 
> of the points to the curve.

This isn't exactly what you asked for, but in case you are looking to refine 
these points into a smoother, I've found subdivision splines very handy.  To 
get the boundary conditions right is usually just a matter of repeating the 
start and end points enough times to cover the subdivision mask. 

Here is an example implementation of Catmul-Clark subdivision: 
https://github.com/matplotlib/viscm/blob/master/viscm/bezierbuilder.py#L323

You can choose subdivision coefficients so that the resulting curve goes 
exactly through your data points or not.

Best regards,
Stéfan
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