Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion
Publication
, Journal Article
Simons, FJ; Loris, I; Brevdo, E; Daubechies, IC
Published in: Proceedings of SPIE - The International Society for Optical Engineering
November 2, 2011
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. © 2011 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE).
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Published In
Proceedings of SPIE - The International Society for Optical Engineering
DOI
ISSN
0277-786X
Publication Date
November 2, 2011
Volume
8138
Related Subject Headings
- 5102 Atomic, molecular and optical physics
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering
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Simons, F. J., Loris, I., Brevdo, E., & Daubechies, I. C. (2011). Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion. Proceedings of SPIE - The International Society for Optical Engineering, 8138. https://doi.org/10.1117/12.892285
Simons, F. J., I. Loris, E. Brevdo, and I. C. Daubechies. “Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion.” Proceedings of SPIE - The International Society for Optical Engineering 8138 (November 2, 2011). https://doi.org/10.1117/12.892285.
Simons FJ, Loris I, Brevdo E, Daubechies IC. Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion. Proceedings of SPIE - The International Society for Optical Engineering. 2011 Nov 2;8138.
Simons, F. J., et al. “Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 8138, Nov. 2011. Scopus, doi:10.1117/12.892285.
Simons FJ, Loris I, Brevdo E, Daubechies IC. Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion. Proceedings of SPIE - The International Society for Optical Engineering. 2011 Nov 2;8138.
Published In
Proceedings of SPIE - The International Society for Optical Engineering
DOI
ISSN
0277-786X
Publication Date
November 2, 2011
Volume
8138
Related Subject Headings
- 5102 Atomic, molecular and optical physics
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering