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Conditions for coincidence of two cubic Bézier curves

✍ Scribed by Wen-Ke Wang; Hui Zhang; Xiao-Ming Liu; Jean-Claude Paul

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
228 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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