Year: 1999
Author: Guo-Jin Wang, T. W. Sederberg
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 33–40
Abstract
This is a continuation of short communication$^{[1]}$. In [1] a verification of the implicitization equation for degree two rational Bézier curves is presented which does not require the use of resultants. This paper presents these verifications in the general cases, i.e., for degree $n$ rational Bézier curves. Thus some interesting interplay between the structure of the $n × n$ implicitization matrix and the de Casteljau algorithm is revealed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9080
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 33–40
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Rational Bézier curve Implicitization Resultant de Casteljau algorithm.