Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704165 | Applied Mathematical Modelling | 2012 | 7 Pages |
Abstract
The quasi-Bézier surface is a kind of commonly used surfaces in CAGD/CAD systems. In this paper, we study how to find the quasi-Bézier surface of minimal area among all the quasi-Bézier surfaces with prescribed borders, i.e., the Plateau-quasi-Bézier problem. The prescribed borders can not only be polynomial curves, but also catenaries and circular arcs. Moreover, the harmonic and biharmonic quasi-Bézier surfaces are investigated.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yong-Xia Hao, Ren-Hong Wang, Chong-Jun Li,