Three Kinds of Curves That Shape Can Adjust

被引：0
|
作者：
Liang, JiongFeng [1 ]
Yan, LanLan [2 ]
机构：
[1] E China Inst Technol, Coll Civil & Environm Engn, Fuzhou 344000, Peoples R China
[2] East China Inst Technol, Coll Math & Inforamt Sci, Fuzhou 344000, Peoples R China
来源：
2009 ASIA-PACIFIC CONFERENCE ON INFORMATION PROCESSING (APCIP 2009), VOL 2, PROCEEDINGS | 2009年
关键词：
computer application; trigonometric basis; spline curve; shape parameter; continuity;
D O I：
10.1109/APCIP.2009.224
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Three kinds of trigonometric bases are constructed in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. As each piece of the curves is generated by three consecutive control points, they retain many properties of the quadratic B-spline curves, but they have higher order continuity than the quadratic B-spline curves. For equidistant knots, they have C-2 continuity under normal conditions, and they have C-3 continuity under special conditions. Besides, the curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters under special conditions. In the last, the trigonometric spline surfaces with shape parameter are constructed. They have most properties of the corresponding trigonometric spline curves.
引用
收藏
页码：356 / +
页数：2
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