Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639965 | Journal of Computational and Applied Mathematics | 2011 | 5 Pages |
Abstract
This paper presents a necessary and sufficient condition for judging whether two cubic Bézier curves are coincident: two cubic Bézier curves whose control points are not collinear are coincident if and only if their corresponding control points are coincident or one curve is the reversal of the other curve. However, this is not true for degree higher than 3. This paper provides a set of counterexamples of degree 4.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wen-Ke Wang, Hui Zhang, Xiao-Ming Liu, Jean-Claude Paul,