Coincidence condition of two Bézier curves of an arbitrary degree

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

8 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Article number2625
Pages (from-to)121-126
Journal / PublicationComputers and Graphics (Pergamon)
Volume54
Publication statusPublished - 1 Feb 2016

Abstract

Abstract This paper discusses the coincidence condition of two Bézier curves of the same degree, which is necessary for a curve/curve intersection algorithm. It proves that two Bézier curves of the same degree are coincident with each other if and only if they have a coincident control polygon or they can be reparameterized into the same non-reparameterizable Bézier curve of a lower degree. A simple method is also provided for detecting the reparameterizable case where a Bézier curve can be reparameterized into a non-reparameterizable one of a lower degree.

Research Area(s)

  • Bézier curve, Coincidence detection, Conjecture, Degeneration

Citation Format(s)

Coincidence condition of two Bézier curves of an arbitrary degree. / Chen, Xiao-Diao; Yang, Chao; Ma, Weiyin.
In: Computers and Graphics (Pergamon), Vol. 54, 2625, 01.02.2016, p. 121-126.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review