From global to regional analysis of the magnetic field on the sphere using wavelet frames

被引：85
|
作者：
Holschneider, M
Chambodut, A
Mandea, M
机构：
[1] Inst Phys Globe, Lab Geomagnetisme, F-75252 Paris 05, France
[2] Univ Potsdam, Dept Appl & Ind Math, D-14469 Potsdam, Germany
来源：
PHYSICS OF THE EARTH AND PLANETARY INTERIORS | 2003年 / 135卷 / 2-3期
关键词：
magnetic field; sphere; wavelet frames;
D O I：
10.1016/S0031-9201(02)00210-8
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
Wavelet analysis has proven to be a powerful tool for numerical studies and signal processing. The wavelets power lies in the fact that in general they only require a small number of coefficients to represent functions and large datasets accurately up to a given precision. In this paper, we present a wavelet construction for scalar functions defined on the sphere. In particular, we show how spherical harmonics can be efficiently represented with spherical wavelets. The final goal of this approach is to model the magnetic field of the Earth simultaneously on global and regional scales.. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：107 / 124
页数：18
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