Trigonometric Spline Curves That Shape Can Adjust

被引：0
|
作者：
Yan, LanLan [1 ]
Liang, JiongFeng [1 ]
机构：
[1] E China Inst Technol, Coll Math & Informat Sci, Fuzhou, Jiangxi, Peoples R China
来源：
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 6 | 2009年
关键词：
computer application; trigonometric basis; spline curve; shape parameter;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Two kinds of trigonometric spline bases are constructed in this paper. Based on these bases, two kinds of trigonometric spline curves are defined. As each piece of these trigonometric spline curves are,generated by three consecutive control points, these curves retain many properties of the quadratic B-spline curves, but they have better continuity than the quadratic B-spline curves. For equidistant knots, the first kind of curve has C-2 continuity under normal conditions, and it is C-3 continuous under special conditions. The second kind of curve has C-3 continuity under normal conditions, and it is C-5 continuous under special conditions. Besides, these 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 also constructed and they have most properties of the corresponding trigonometric spline curves.
引用
收藏
页码：9 / 14
页数：6
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