Interpolatory subdivision schemes and wavelets

被引：55
|
作者：
Micchelli, CA
机构：
[1] Mathematical Sciences Department, IBM Research Division, T. J. Watson Research Center, Yorktown Heights
来源：
JOURNAL OF APPROXIMATION THEORY | 1996年 / 86卷 / 01期
关键词：
D O I：
10.1006/jath.1996.0054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we describe the connection of orthonormal wavelets to interpolatory subdivision. This connection leads us to a construction of an orthonormal wavelet of compact support whose Fourier transform has prescribed imaginary zeros. When all the zeros are at the origin, our construction reduces to the wavelet constructed by I. Daubechies. (C) 1996 Academic Press, Inc.
引用
收藏
页码：41 / 71
页数：31
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