𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bézier surfaces of minimal area: The Dirichlet approach

✍ Scribed by J. Monterde

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
679 KB
Volume
21
Category
Article
ISSN
0167-8396

No coin nor oath required. For personal study only.

✦ Synopsis

The Plateau-Bézier problem consists in finding the Bézier surface with minimal area from among all Bézier surfaces with prescribed border. An approximation to the solution of the Plateau-Bézier problem is obtained by replacing the area functional with the Dirichlet functional. Some comparisons between Dirichlet extremals and Bézier surfaces obtained by the use of masks related with minimal surfaces are studied.

📜 SIMILAR VOLUMES

Generating the Bézier points of B-spline
Generating the Bézier points of B-spline curves and surfaces
✍ Wolfgang Böhm 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 169 KB

Generati ng the Bezier poi nts of B-spline curves and surfaces ## Wolfgang B6hm The well-known algorithm by de Boor for calculating a point of a B-spline curve can also be used to produce the B&ier points of a B-spline curve or surface.

Computation of the minimum distance betw
Computation of the minimum distance between two Bézier curves/surfaces
✍ Jung-Woo Chang; Yi-King Choi; Myung-Soo Kim; Wenping Wang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 428 KB

We present an efficient and robust method based on the culling approach for computing the minimum distance between two Be ´zier curves or Be ´zier surfaces. Our contribution is a novel dynamic subdivision scheme that enables our method to converge faster than previous methods based on binary subdivi