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3D Fit of Centreline

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William
William 2015-4-10
评论： William 2015-4-12
I've got a 3D data set (shown below) and I want to fit it with a line, the points of this line fit need to be equidistant apart.
Any tools able to do this? Or methods of how to achieve this?
Many thanks, Will

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Image Analyst
Image Analyst 2015-4-10
Have you tried a Savitzky-Golay filter on the x, y, and z independently? Attached is a demo of sgolayfilt() in the Signal Processing Toolbox.

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Image Analyst
Image Analyst 2015-4-10
Do you want to smooth (regress) those points to get a smoother path? Or interpolate additional points in between those points while keeping those points where they are?
Of course we should not forget the venerable John D'Errico's interparc : http://www.mathworks.com/matlabcentral/fileexchange/34874-interparc. It sounds like just what you want to do if you want to keep those training points fixed and interpolate evenly spaced points along the curve.
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William
William 2015-4-12
Looking tasty. Could we calculate a standard deviation or some other error measure against the original points?
William
William 2015-4-12
Simple enough - Minus filtered from original data and take statistical profile of this.
Thanks very much for your help :)

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