@inproceedings{d234b0d63c034d1f8d03eb92759641c8,
title = "Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion",
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.",
keywords = "frames, geophysics, inverse theory, localization, sparsity, spherical harmonics, wavelets",
author = "Simons, {Frederik Jozef} and Ignace Loris and Eugene Brevdo and Daubechies, {Ingrid C.}",
year = "2011",
month = nov,
day = "2",
doi = "10.1117/12.892285",
language = "English (US)",
isbn = "9780819487483",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Wavelets and Sparsity XIV",
note = "Wavelets and Sparsity XIV ; Conference date: 21-08-2011 Through 24-08-2011",
}