On harmonic and biharmonic Bezier surfaces

被引：55
|
作者：
Monterde, J
Ugail, H
机构：
[1] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia, Spain
[2] Univ Bradford, Sch Informat, Dept Elect Imaging & Media Commun, Bradford BD7 1DP, W Yorkshire, England
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2004年 / 21卷 / 07期
关键词：
bilaplacian operator; biharmonic surfaces; PDE freeform surfaces;
D O I：
10.1016/j.cagd.2004.07.003
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present a new method of surface generation from prescribed boundaries based on the elliptic partial differential operators. In particular, we focus on the study of the so-called harmonic and biharmonic Bezier surfaces. The main result we report here is that any biharmonic Bezier surface is fully determined by the boundary control points. We compare the new method, by way of practical examples, with some related methods such as surfaces generation using discretisation masks and functional minimisations. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：697 / 715
页数：19
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