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arXiv · 2606.21209

Arc-Length Parameterized Interpolating Splines

Dafna K. Matsegora·Stephen M. Watt
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Abstract

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 $D \ge 2$, and we illustrate it with numerical results for plane curves.

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Dafna K. Matsegora, Stephen M. Watt. 2026-06-19. Arc-Length Parameterized Interpolating Splines. https://arxiv.org/abs/2606.21209

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