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Arc-Length Parameterized Interpolating Splines

arXiv 2606.21209 ↗First posted 19 Jun 2026cs.CG cs.CV cs.MScited by 0

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Abstract (arXiv)

We present an iterative algorithm to compute an arc-length parameterized spline interpolating a set of points. This differs from other methods where the computed spline either does not interpolate the original points or the parameterization is not the arc-length of the returned curves. Our method is applicable in any dimension D ≥ 2, and we illustrate it with numerical results for plane curves.

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