Trying to resample data in a uniform manner (with some twists)

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Eric Dinges 2016-7-29

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编辑： Stephen23 2016-9-13

I have a set of x and y coordinates that create a spline.

Currently, the coordinates that make up the spline are non-uniformly spaced in both x and y axes. How can I resample them so that there is uniform spacing? To be more specific, the coordinates are locations along a tube. I would love some way of defining the distance traveled along the tube so that I could specify a percent distance along the tube and it would translate to a specific length of the matrix.

I am familiar with the resample function, but it requires that there is a dependent (uniformly increasing) matrix is provided.

Thank you in advance.

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Answer 1

Joost 2016-9-13

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I found an interesting contribution on MatlabCentral: ArcLength

Or otherwise: If you have a parametric spline (x(t) and y(t)), then you could use t as monotonously increasing variable, and resample x and y separately.

Furthermore it is good to know that there is no general analytic solution for the arc length of a spline. Interpolation, re-sampling and numerical approximation are the way to go.