A Computational Method with Maple for Finding the Maximum Curvature of a Bézier-Spline Curve-Reference-Cited by-同舟云学术

A Computational Method with Maple for Finding the Maximum Curvature of a Bézier-Spline Curve

Published:2023-04-08 Issue:2 Volume:28 Page:56
ISSN:2297-8747
Container-title:Mathematical and Computational Applications
language:en
Short-container-title:MCA

Author:

Pijls Henk¹,Quan Le Phuong²^ORCID

Affiliation:

1. Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 105-107, 3rd Floor (Entrance via Nikhef), 1098 XG Amsterdam, The Netherlands

2. Department of Mathematics, College of Natural Sciences, Cantho University, 3/2 Street, Cantho City 900000, Vietnam

Abstract

In this paper, we propose two Maple procedures and some related utilities to determine the maximum curvature of a cubic Bézier-spline curve that interpolates an ordered set of points in R2 or R3. The procedures are designed from closed-form formulas for such open and closed curves.

Publisher

MDPI AG

Subject

Applied Mathematics,Computational Mathematics,General Engineering

Link

https://www.mdpi.com/2297-8747/28/2/56/pdf

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