𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rational tensor product Bézier volumes

✍ Scribed by D. Lasser

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
853 KB
Volume
29
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Tensor product Bézier surfaces on triang
Tensor product Bézier surfaces on triangle Bézier surfaces
✍ Dieter Lasser 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 266 KB

An explicit formula as well as a geometric algorithm are given for converting a rectangular subpatch of a triangular Bézier surface into a tensor product Bézier representation. Based on de Casteljau recursions and convex combinations of combinatorial constants, both formula and algorithm are numeric

Singularities of rational Bézier curves
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

Approximating rational triangular Bézier
Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces
✍ Hui-Xia Xu; Guo-Jin Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 510 KB

An attractive method for approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces is introduced. The main result is that the arbitrary given order derived vectors of a polynomial triangular surface converge uniformly to those of the approximated rational triangular