problem in curve fitting

hey,guys

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？

Answer 1

[John D'Errico]

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.

[JIANING]

Answer 2

[Image Analyst]

For what it's worth, see my attached spline demos.