Biorthogonal locally supported wavelets on the sphere based on zonal kernel functions

被引：2

作者：

Freeden, Willi ^{[1
]}

Schreiner, Michael ^{[2
]}

机构：

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

[2] Univ Buchs NTB, Lab Ind Math, CH-9471 Buchs, Switzerland

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2007年 / 13卷 / 06期

关键词：

spherical multiresolution analysis; zonal Kernel functions; biorthogonalisation; decomposition and reconstruction schemes; fast wavelet transform;

D O I：

10.1007/s00041-006-6905-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents a method for approximating spherical functions from discrete data of a block-wise grid structure. The essential ingredients of the approach are scaling and wavelet functions within a biorthogonalisation process generated by locally supported zonal kernel functions. In consequence, geophysically and geodetically relevant problems involving rotation-invariant pseudodifferential operators become attackable. A multiresolution analysis is formulated enabling a fast wavelet transform similar to the algorithms known from classical tensor product wavelet theory.

引用

页码：693 / 709

页数：17

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