SPLINE PREWAVELETS FOR NONUNIFORM KNOTS

被引：29

作者：

BUHMANN, MD ^{[1
]}

MICCHELLI, CA ^{[1
]}

机构：

[1] IBM CORP,THOMAS J WATSON RES CTR,DEPT MATH SCI,YORKTOWN HTS,NY 10598

来源：

NUMERISCHE MATHEMATIK | 1992年 / 61卷 / 04期

关键词：

D O I：

10.1007/BF01385520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a framework suitable for performing a multi-resolution analysis using univariate spline spaces of arbitrary degree and with non-uniform knot-sequences. To this end, we show, among other things, the existence of compactly supported prewavelets and of prewavelets that are globally supported, but decay exponentially. In each case we obtain a decomposition of a fine spline space as a sum of a coarse spline space plus a spline space spanned by prewavelets.

引用

页码：455 / 474

页数：20

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