Fitting a 3D curve to a set of data points



Hello

I have a set of data points in R^3, which are aligned nearly on a
curve.

What is the best way of fitting (least squares) a curve to these
points. I have no idea...

As an example: a problem which is quite similar to mine: You have
measured several times the position of a space shuttle. Now I want to
reconstruct the trajectory of this shuttle by fitting a curve to my
data points (the points need not lie on a sphere as this example
might suggest).

Thanks for your suggestions
.



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