[Insight-users] Need Help !!! Approximation of a 3D curve with Splines

[Deepak Roy]

Hello,

I have a set of noisy/scattered 3D data points ( XYZ ) which ideally should
belong to a curve in 3D space.

I want to use a smoothing/approximation spline to approximate this 3D curve.


All the references/books on splines that i found deal with spline
approximation in 2D and i am not able to find any reference which computes
an approximating spline curve in 3D space.

I have done a few experiments with the 2D smoothing spline in matlab. I
extended this to 3D by fitting two splines --- for ZX data and ZY data. Then
i combined these two splines together to achieve a 3D approximating spline
curve. But the problem with this is that it is done through projections,
and consequently if there is more than one value at the same data site then
the smoothing spline gives a weighted average of the values ---- and this is
not what is desired.

Is there a way to approximate scattered/noisy 3D data points using a spline
in ITK ??? Or can anyone throw light on how this is done ???

I would really appreciate the help.

Thanks in advance.

Regards,

Deepak
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