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problem in curve fitting

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JIANING on 15 May 2024 at 0:55
Commented: JIANING on 15 May 2024 at 6:51
Recently I am learning the PSO algorithm, I use the spline curve interpolation that comes with matlab to get a set of smooth data of x, y, z, and I want to fit them with some arcs to apply to my environment。
How do I fit discrete points with arcs of fixed curvature and make these arcs G1 continuous?Is there a difference between two-dimensional and three-dimensional environments?

Answers (2)

John D'Errico
John D'Errico on 15 May 2024 at 1:04
Edited: John D'Errico on 15 May 2024 at 1:06
C1 continuous?
Is there a difference? Absolutely YES.
C1 continuity, using circular "arcs" in 3-d? UGH. I'm a career mathematician, with 40 years experisnce working with splines. I'd not try it. I think you may be looking for something more sophisticated than you really need.
I'd suggest you start with tools for scattered interpolation, maybe griddata, maybe scatteredInterpolant.

Image Analyst
Image Analyst on 15 May 2024 at 3:52
For what it's worth, see my attached spline demos.

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