Riesz multiwavelet bases

被引：12
|
作者：
Han, B [1 ]
Kwon, SG
Park, SS
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Sunchon Natl Univ, Dept Math Educ, Sunchon 540742, South Korea
[3] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2006年 / 20卷 / 02期
关键词：
Riesz multiwavelet bases; refinable function vectors; refinable Hermite interpolants; biorthogonal multiwavelets; smoothness; vanishing moments;
D O I：
10.1016/j.acha.2005.10.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Compactly supported Riesz wavelets are of interest in several applications such as image processing, computer graphics and numerical algorithms. In this paper, we shall investigate compactly supported MRA Riesz multiwavelet bases in L-2(R). An algorithm is presented to derive Riesz multiwavelet bases from refinable function vectors. To illustrate our algorithm and results in this paper, we present several examples of Riesz multiwavelet bases with short support in L-2(R). (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：161 / 183
页数：23
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