Modifying a knot of B-spline curves

被引：13

作者：

Juhász, I ^{[1
]}

Hoffmann, M

机构：

[1] Univ Miskolc, Dept Descript Geometry, H-3515 Miskolc, Hungary

[2] Karoly Eszterhazy Coll, Inst Math & Comp Sci, H-3300 Eger, Hungary

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2003年 / 20卷 / 05期

关键词：

B-spline curve; knot modification; envelope;

D O I：

10.1016/S0167-8396(03)00042-6

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The modification of a knot of a B-spline curve of order k generates a family of B-spline curves. We show that an envelope of this family is a B-spline curve defined by the same control polygon, and its order is k - m, where m is the multiplicity of the modified knot. Moreover, their arbitrary order derivatives differ only in a multiplier. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：243 / 245

页数：3