ωB-splines

被引：7
|
作者：
Fang Mei'E [1 ,2 ,3 ]
Wang GuoZhao [1 ,2 ]
机构：
[1] Zhejiang Univ, Inst Comp & Image Proc, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[3] Hangzhou Dianzi Univ, Coll Comp, Hangzhou 310018, Peoples R China
来源：
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES | 2008年 / 51卷 / 08期
基金：
中国国家自然科学基金;
关键词：
omega B-splines; frequencies; B-splines; trigonometric polynomial B-splines; hyperbolic polynomial B-splines;
D O I：
10.1007/s11432-008-0076-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new kind of spline with variable frequencies, called omega B-spline, is presented. It not only unifies B-splines, trigonometric and hyperbolic polynomial B-splines, but also produces more new types of splines. omega B-spline bases are defined in the space spanned by {cos omega t, sin omega t, 1, t, ..., t(n) , ...} with the sequence of frequencies omega, where n is an arbitrary nonnegative integer. omega B-splines persist all desirable properties of B-splines. Furthermore, they have some special properties advantageous for modeling free form curves and surfaces.
引用
收藏
页码：1167 / 1176
页数：10
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