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