COEFFICIENT FORMULA AND MATRIX OF NONUNIFORM B-SPLINE FUNCTIONS

被引：13
|
作者：
GRABOWSKI, H
LI, X
机构：
[1] Institẗ für Rechneranwendung in Planung und Konstruktion, Universität Karsruhe
来源：
COMPUTER-AIDED DESIGN | 1992年 / 24卷 / 12期
关键词：
CURVES AND SURFACES; NURBS; MATRIX REPRESENTATION; DATA EXCHANGE;
D O I：
10.1016/0010-4485(92)90018-6
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The paper derives a coefficient formula of nonuniform B-spline functions of arbitrary degree from the Cox-de Boor recursive algorithm. An efficient numerical algorithm for the coefficient matrix of nonuniform B-spline functions is also presented that is based on this formula. The results in the paper are useful for the evaluation and conversion of NURBS curves and surfaces in CAD/CAM systems. They will promote the application of product data-exchange standards in industry.
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页码：637 / 642
页数：6
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