• Citer

Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion

par Simons, Frederik;Loris, Ignace ;Brevdo, Eugene;Daubechies, Ingrid
Référence Wavelets and Sparsity~XIV, SPIE, Vol. 8138, page (X1-X15)
Publication Publié, 2011

Publication dans des actes

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

Many flexible parameterizations exist to represent data on the sphere. In addition to the venerable spherical harmonics, we have the Slepian basis, harmonic splines, wavelets and wavelet-like Slepian frames. In this paper we focus on the latter two: spherical wavelets developed for geophysical applications on the cubed sphere, and the Slepian ``tree'', a new construction that combines a quadratic concentration measure with wavelet-like multiresolution. We discuss the basic features of these mathematical tools, and illustrate their applicability in parameterizing large-scale global geophysical (inverse) problems.