Orthogonal and nonorthogonal multiresolution analysis, scale discrete and exact fully discrete wavelet transform on the sphere

被引：35

作者：

Freeden, W ^{[1
]}

Schreiner, M ^{[1
]}

机构：

[1] Univ Kaiserslautern, Geomath Grp, D-67653 Kaiserslautern, Germany

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 04期

关键词：

spherical multiresolution analysis; scaling function; scale discrete wavelets; rational wavelets; exponential wavelets; orthogonal (Shannon) wavelets; de la Vallee Poussin wavelets; exact fully discrete wavelet transform;

D O I：

10.1007/s003659900087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a new definition of dilation a scale discrete version of spherical multiresolution is described, starting from a scale discrete wavelet transform on the sphere. Depending on the type of application, different families of wavelets are chosen. In particular, spherical Shannon wavelets are constructed that form an orthogonal multiresolution analysis. Finally fully discrete wavelet approximation is discussed in the case of band-limited wavelets.

引用

页码：493 / 515

页数：23