OPTIMIZATION OF A NURBS REPRESENTATION

被引：52

作者：

LAURENTGENGOUX, P ^{[1
]}

MEKHILEF, M ^{[1
]}

机构：

[1] ECOLE CENT PARIS,EPAP LAB,F-92295 CHATENAY MALABRY,FRANCE

来源：

COMPUTER-AIDED DESIGN | 1993年 / 25卷 / 11期

关键词：

NONUNIFORM RATIONAL B-SPLINES; GEOMETRIC DESIGN; CURVE APPROXIMATION; OPTIMIZATION; GEOMETRIC CONTINUITY; SURFACE MODELING;

D O I：

10.1016/0010-4485(93)90011-C

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

One of the main problems in modelling curves and surfaces with nonuniform rational B-splines is the choice of the knots and weights. The paper describes a global numerical method for the optimization of these parameters. The Polak-Ribiere technique, with some improvements, is used to minimize a cost function. Different cases of curves have been studied with various conditions of geometric continuity. Some interpretations of the weights and positions of the vertices are given. The paper concludes with some rules for the choice of knot configuration.

引用

页码：699 / 710

页数：12

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