Explicit representations of changeable degree spline basis functions

被引：17

作者：

Shen, Wanqiang ^{[1
,2
]}

Wang, Guozhao ^{[2
]}

Yin, Ping ^{[1
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2012年 / 238卷

基金：

中国国家自然科学基金;

关键词：

B-spline; Changeable degree; Basis function; Power function; Explicit representation; POLYNOMIAL SPLINES; CURVES;

D O I：

10.1016/j.cam.2012.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Changeable degree spline (CD-spline for short) basis functions, defined by an iterative integral method, are extensions of B-spline basis functions. A CD-spline basis function is a piecewise function made up of polynomials of different degrees. In this paper, we will give the explicit representations of CD-spline basis functions, from which the spanned linear space can be seen clearly. Our method is also feasible for the explicit representations of the other basis functions given in analogous integral ways. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：39 / 50

页数：12

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