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arXiv · 2412.07227

Cubic Bézier-Spline Curves: Interpolation and Maximum Curvature

Henk Pijls·Quan Le Phuong
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Abstract

In this paper, we propose a closed-form solution to the inverse problem in interpolation with periodic uniform B-spline curves. This solution is obtained by modifying the one we have established to a similar problem with relaxed uniform B-spline curves. Then we use these solutions to determine the maximum curvature of a Bézier-spline curve. Our computational and graphical examples are presented with the aid of Maple procedures.

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Henk Pijls, Quan Le Phuong. 2024-12-10. Cubic Bézier-Spline Curves: Interpolation and Maximum Curvature. https://arxiv.org/abs/2412.07227

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