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.
Original language | English (US) |
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Title of host publication | Wavelets and Sparsity XIV |
DOIs | |
State | Published - 2011 |
Event | Wavelets and Sparsity XIV - San Diego, CA, United States Duration: Aug 21 2011 → Aug 24 2011 |
Publication series
Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 8138 |
ISSN (Print) | 0277-786X |
Other
Other | Wavelets and Sparsity XIV |
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Country | United States |
City | San Diego, CA |
Period | 8/21/11 → 8/24/11 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering
Keywords
- frames
- geophysics
- inverse theory
- localization
- sparsity
- spherical harmonics
- wavelets