Efficient degree elevation and knot insertion for B-spline curves using derivatives

Huang, Qi-Xang, Hu, Shi-Min ORCID: https://orcid.org/0000-0001-7507-6542 and Martin, Ralph Robert 2004. Efficient degree elevation and knot insertion for B-spline curves using derivatives. Computer-Aided Design and Applications 1 , pp. 719-725. 10.1080/16864360.2004.10738318

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Abstract

This paper presents a new algorithm for raising the degree of a B-spline curve which can also insert new knots at the same time. The new algorithm is faster than existing algorithms, and is much easier to understand and to implement. The new control points are computed using the following three simple steps: computing derivatives from control points, resampling the knot vector, and computing new control points from derivatives. Comparisons with previous methods and examples are given

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Uncontrolled Keywords:	B-splines, elevation, knot insertion
Publisher:	Cadanda
ISSN:	1686-4360
Last Modified:	24 Oct 2022 10:11
URI:	https://orca.cardiff.ac.uk/id/eprint/43393

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