Approximation algorithms for developable surfaces

被引：126

作者：

Pottmann, H ^{[1
]}

Wallner, J ^{[1
]}

机构：

[1] Vienna Tech Univ, Inst Geometrie, A-1040 Vienna, Austria

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1999年 / 16卷 / 06期

关键词：

computer aided geometric design; surface approximation; developable surface; dual representation; NURBS;

D O I：

10.1016/S0167-8396(99)00012-6

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ourselves to special parametrizations of the surfaces involved, we derive linear approximation algorithms for developable NURBS surfaces, including multiscale approximations. Special attention is paid to controlling the curve of regression. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：539 / 556

页数：18

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