C2 quadratic trigonometric polynomial curves with local bias

被引：16

作者：

Han, XL ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 180卷 / 01期

关键词：

curve representations; trigonometric polynomial; shape parameter; B-spline curve;

D O I：

10.1016/j.cam.2004.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quadratic trigonometric polynomial curves with local bias are presented in this paper. The quadratic trigonometric polynomial curves have C-2 continuity with a non-uniform knot vector and any value of the bias, while the quadratic B-spline curves have C-1 continuity. The changes of a local bias parameter will only affect two curve segments. With the bias parameters, the quadratic trigonometric polynomial curves can move locally toward or against a control vertex. A quadratic trigonometric Bezier curve is also introduced as special case of the given trigonometric polynomial curves. © 2004 Elsevier B.V. All rights reserved.

引用

页码：161 / 172

页数：12