Orthogonal and Nonorthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere

被引：0

作者：

W. Freeden

M. Schreiner

机构：

[1] W. Freeden,

[2] Geomathematics Group,undefined

[3] University of Kaiserslautern,undefined

[4] D-67653 Kaiserslautern,undefined

[5] Germany,undefined

[6] M. Schreiner,undefined

[7] Geomathematics Group,undefined

[8] University of Kaiserslautern,undefined

[9] D-67653 Kaiserslautern,undefined

[10] Germany,undefined

来源：

Constructive Approximation | 1998年 / 14卷

关键词：

Key words.Spherical multiresolution analysis; Scaling function; Scale discrete wavelets; Rational wavelets; Exponential wavelets; Orthogonal(Shannon)wavelets; de La Vallée-Poussin wavelets,Exact fully discrete wavelet transform.AMS Classification:41A58,42C15,44A35,45E99.;

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学科分类号：

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：22