Uniform trigonometric polynomial B-spline curves

被引：21
|
作者：
Lü, YG [1 ]
Wang, GZ [1 ]
Yang, XN [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Inst Comp Graph & Image Proc, Hangzhou 310027, Peoples R China
来源：
SCIENCE IN CHINA SERIES F | 2002年 / 45卷 / 05期
关键词：
C-curves; uniform B-splines; C-B-splines; trigonometric polynomial B-splines;
D O I：
10.1007/BF02714091
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a new kind of uniform spline curve, named trigonometric polynomial B-splines, over space Omega = span{sint, cost, t(k-3), t(k-4),..., t, 1} of which k is an arbitrary integer larger than or equal to 3. We show that trigonometric polynomial B-spline curves have many similar properties to traditional B-splines. Based on the explicit representation of the curve we have also presented the subdivision formulae for this new kind of curve. Since the new spline can include both polynomial curves and trigonometric curves as special cases without rational form, it can be used as an efficient new model for geometric design in the fields of CAD/CAM.
引用
收藏
页码：335 / 343
页数：9
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