Analysis of real vector fields on the sphere using Slepian functions

Alain Plattner; Frederik J. Simons; Liying Wei

doi:10.1109/SSP.2012.6319659

Analysis of real vector fields on the sphere using Slepian functions

Alain Plattner, Frederik J. Simons, Liying Wei

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

We pose and solve the analogue of Slepian's time-frequency concentration problem for vector fields on the surface of the unit sphere, to determine an orthogonal family of strictly bandlimited vector fields that are optimally concentrated within a closed region of the sphere or, alternatively, of strictly spacelimited functions that are optimally concentrated in the vector spherical harmonic domain. Such a basis of simultaneously spatially and spectrally concentrated functions should be a useful data analysis and representation tool in a variety of geophysical and planetary applications, as well as in medical imaging, computer science, cosmology, and numerical analysis.

Original language	English (US)
Title of host publication	2012 IEEE Statistical Signal Processing Workshop, SSP 2012
Pages	1-4
Number of pages	4
DOIs	https://doi.org/10.1109/SSP.2012.6319659
State	Published - 2012
Event	2012 IEEE Statistical Signal Processing Workshop, SSP 2012 - Ann Arbor, MI, United States Duration: Aug 5 2012 → Aug 8 2012

Publication series

Name	2012 IEEE Statistical Signal Processing Workshop, SSP 2012

Other

Other	2012 IEEE Statistical Signal Processing Workshop, SSP 2012
Country/Territory	United States
City	Ann Arbor, MI
Period	8/5/12 → 8/8/12

All Science Journal Classification (ASJC) codes

Signal Processing

Keywords

Spherical vector fields
prolate spheroidal wave functions
spatiospectral concentration

Access to Document

10.1109/SSP.2012.6319659

Cite this

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abstract = "We pose and solve the analogue of Slepian's time-frequency concentration problem for vector fields on the surface of the unit sphere, to determine an orthogonal family of strictly bandlimited vector fields that are optimally concentrated within a closed region of the sphere or, alternatively, of strictly spacelimited functions that are optimally concentrated in the vector spherical harmonic domain. Such a basis of simultaneously spatially and spectrally concentrated functions should be a useful data analysis and representation tool in a variety of geophysical and planetary applications, as well as in medical imaging, computer science, cosmology, and numerical analysis.",

keywords = "Spherical vector fields, prolate spheroidal wave functions, spatiospectral concentration",

author = "Alain Plattner and Simons, {Frederik J.} and Liying Wei",

year = "2012",

doi = "10.1109/SSP.2012.6319659",

language = "English (US)",

isbn = "9781467301831",

series = "2012 IEEE Statistical Signal Processing Workshop, SSP 2012",

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note = "2012 IEEE Statistical Signal Processing Workshop, SSP 2012 ; Conference date: 05-08-2012 Through 08-08-2012",

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Plattner, A, Simons, FJ & Wei, L 2012, Analysis of real vector fields on the sphere using Slepian functions. in 2012 IEEE Statistical Signal Processing Workshop, SSP 2012., 6319659, 2012 IEEE Statistical Signal Processing Workshop, SSP 2012, pp. 1-4, 2012 IEEE Statistical Signal Processing Workshop, SSP 2012, Ann Arbor, MI, United States, 8/5/12. https://doi.org/10.1109/SSP.2012.6319659

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T1 - Analysis of real vector fields on the sphere using Slepian functions

AU - Plattner, Alain

AU - Simons, Frederik J.

AU - Wei, Liying

PY - 2012

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N2 - We pose and solve the analogue of Slepian's time-frequency concentration problem for vector fields on the surface of the unit sphere, to determine an orthogonal family of strictly bandlimited vector fields that are optimally concentrated within a closed region of the sphere or, alternatively, of strictly spacelimited functions that are optimally concentrated in the vector spherical harmonic domain. Such a basis of simultaneously spatially and spectrally concentrated functions should be a useful data analysis and representation tool in a variety of geophysical and planetary applications, as well as in medical imaging, computer science, cosmology, and numerical analysis.

AB - We pose and solve the analogue of Slepian's time-frequency concentration problem for vector fields on the surface of the unit sphere, to determine an orthogonal family of strictly bandlimited vector fields that are optimally concentrated within a closed region of the sphere or, alternatively, of strictly spacelimited functions that are optimally concentrated in the vector spherical harmonic domain. Such a basis of simultaneously spatially and spectrally concentrated functions should be a useful data analysis and representation tool in a variety of geophysical and planetary applications, as well as in medical imaging, computer science, cosmology, and numerical analysis.

KW - Spherical vector fields

KW - prolate spheroidal wave functions

KW - spatiospectral concentration

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SN - 9781467301831

T3 - 2012 IEEE Statistical Signal Processing Workshop, SSP 2012

SP - 1

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BT - 2012 IEEE Statistical Signal Processing Workshop, SSP 2012

T2 - 2012 IEEE Statistical Signal Processing Workshop, SSP 2012

Y2 - 5 August 2012 through 8 August 2012

ER -

Analysis of real vector fields on the sphere using Slepian functions

Abstract

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All Science Journal Classification (ASJC) codes

Keywords

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