Quadratic trigonometric spline curves with multiple shape parameters

被引：0
|
作者：
Wu, Xiaoqin [1 ,2 ]
Han, Xuli [1 ]
Luo, Shanmin [3 ]
机构：
[1] Cent South Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China
[2] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China
[3] Hunan Univ Sci & Technol, Sch Mech Engn, Xiangtan 411201, Peoples R China
来源：
PROCEEDINGS OF 2007 10TH IEEE INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS | 2007年
基金：
美国国家科学基金会;
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Quadratic trigonometric spline curves with multiple shape parameters are presented in this paper. Analogous to the cubic B-spline curves, each trigonometric spline curve segment is generated by four consecutive control points. The trigonometric spline curves with a non -uniform knot vector are C-1 continuous. With a uniform knot vector, the trigonometric spline curves are C continuous when all shape parameter lambda(i) = 1. Taking different values of the shape parameters, one can globally or locally adjust the shapes of the curves, so that the trigonometric spline curves can be close to the cubic B-spline curves or closer to the given control polygon than the cubic B-spline curves. The trigonometric spline curves also can represent ellipse and generate a family of ellipse with the same control points. A quadratic trigonometric Bier curves are also introduced as a special case of the given trigonometric spline curves.
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页码：413 / +
页数：2
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