Discrete Coons patches

被引：127

作者：

Farin, G ^{[1
]}

Hansford, D

机构：

[1] Arizona State Univ, Tempe, AZ 85287 USA

[2] NURBS Depot, Paradise Valley, AZ 85253 USA

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1999年 / 16卷 / 07期

关键词：

Coons patches; variational principles; discrete surfaces;

D O I：

10.1016/S0167-8396(99)00031-X

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We investigate surfaces which interpolate given boundary curves. We show that the discrete bilinearly blended Coons patch can be defined as the solution of a linear system. With the goal of producing better shape than the Coons patch, this idea is generalized, resulting in a new method based on a blend of variational principles. We show that no single blend of variational principles can produce "good" shape for all boundary curve geometries. We also discuss triangular Coons patches and point out the connections to the rectangular case. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：691 / 700

页数：10