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C1NURBS representations ofG1composite rational Bézier curves

✍ Scribed by Jianmin Zheng


Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
252 KB
Volume
86
Category
Article
ISSN
0010-485X

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Singularities of rational Bézier curves
✍ J. Monterde 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 113 KB

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