On the bounds of the derivative of rational Bézier curves
✍ Scribed by Li, Yajuan; Deng, Chongyang; Jin, Wenbiao; Zhao, Nailiang
- Book ID
- 123515841
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 358 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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📜 SIMILAR VOLUMES
In this paper, a convenient and effective recurrence formula for the higher order derivatives of a rational degree \(n\) Bézier curve is derived. The \(\operatorname{sth}(s=1,2, \ldots)\)-order derivatives of this curve can be represented as a fraction whose numerator is a vector expression of degre
We prove that if an nth degree rational Bézier curve has a singular point, then it belongs to the two (n -1)th degree rational Bézier curves defined in the (n -1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct Bézier curves wit