Construction of B-splines for generalized spline spaces generated from local ECT-systems

被引：19

作者：

Buchwald, B ^{[1
]}

Mühlbach, G ^{[1
]}

机构：

[1] Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 159卷 / 02期

关键词：

B-splines; ECT-systems; generalized splines; interpolation;

D O I：

10.1016/S0377-0427(03)00533-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Certain spaces of generalized splines are considered which are constructed by pasting together smoothly linear combinations of local ECT-systems. For them a basis of splines having minimal compact supports is constructed. These functions that are called B-splines are obtained by solving certain interpolation problems. They can be non-nalized either to form a partition of unity or to have integral over the real line equal to one each. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：249 / 267

页数：19

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