Computing the derivative of NURBS with respect to a knot

被引：19

作者：

Piegl, LA

Tiller, W

机构：

[1] Univ S Florida, Dept Comp Sci & Engn, Tampa, FL 33620 USA

[2] GenomWare Inc, Tyler, TX 75703 USA

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1998年 / 15卷 / 09期

关键词：

B-splines; differentiation; symbolic operators;

D O I：

10.1016/S0167-8396(98)00028-4

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Algorithms for computing the derivative of NURBS with respect to a knot are presented. Rational and nonrational curves and surfaces as well as basis functions are differentiated with respect to a knot. The derivative entities are computed by control point or basis function differencing divided by appropriate knot spans. (C) 1998 Elsevier Science B.V.

引用

页码：925 / 934

页数：10

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