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Proceedings Paper

Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion
Author(s): Frederik J. Simons; Ignace Loris; Eugene Brevdo; Ingrid C. Daubechies
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Paper Abstract

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.

Paper Details

Date Published: 27 September 2011
PDF: 15 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380X (27 September 2011); doi: 10.1117/12.892285
Show Author Affiliations
Frederik J. Simons, Princeton Univ. (United States)
Ignace Loris, Univ. Libre de Bruxelles (Belgium)
Eugene Brevdo, Princeton Univ. (United States)
Ingrid C. Daubechies, Duke Univ. (United States)

Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)

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