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

Henk Pijls; Le Phuong Quan

doi:10.3390/mca28020056

Mathematical and Computational Applications (Apr 2023)

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

Henk Pijls,
Le Phuong Quan

Affiliations

Henk Pijls: Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 105-107, 3rd Floor (Entrance via Nikhef), 1098 XG Amsterdam, The Netherlands
Le Phuong Quan: Department of Mathematics, College of Natural Sciences, Cantho University, 3/2 Street, Cantho City 900000, Vietnam

DOI: https://doi.org/10.3390/mca28020056
Journal volume & issue: Vol. 28, no. 2
p. 56

Abstract

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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.

Published in Mathematical and Computational Applications

ISSN: 1300-686X (Print); 2297-8747 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: http://www.mdpi.com/journal/mca

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