TY - GEN

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

AU - Plattner, Alain

AU - Simons, Frederik J.

AU - Wei, Liying

PY - 2012/11/6

Y1 - 2012/11/6

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

UR - http://www.scopus.com/inward/record.url?scp=84868215610&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868215610&partnerID=8YFLogxK

U2 - 10.1109/SSP.2012.6319659

DO - 10.1109/SSP.2012.6319659

M3 - Conference contribution

AN - SCOPUS:84868215610

SN - 9781467301831

T3 - 2012 IEEE Statistical Signal Processing Workshop, SSP 2012

SP - 1

EP - 4

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 -