Sampling theorems and compressive sensing on the sphere

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Serval ID
serval:BIB_D54DF3CEE051
Type
Inproceedings: an article in a conference proceedings.
Collection
Publications
Title
Sampling theorems and compressive sensing on the sphere
Title of the conference
WASIP 2011, Wavelets and Sparsity XIV, International Society for Optical Engineering (SPIE)
Author(s)
McEwen J., Puy G., Thiran J.P., Vandergheynst P., Van De Ville D., Wiaux Y.
Address
San Diego, California, United States, August 21-24, 2011
ISBN
9780819487483
Publication state
Published
Issued date
2011
Volume
8138
Series
Proceedings of SPIE
Pages
1-9
Language
english
Abstract
We discuss a novel sampling theorem on the sphere
developed by McEwen & Wiaux recently through an
association between the sphere and the torus. To
represent a band-limited signal exactly, this new
sampling theorem requires less than half the number of
samples of other equiangular sampling theorems on the
sphere, such as the canonical Driscoll & Healy sampling
theorem. A reduction in the number of samples required to
represent a band-limited signal on the sphere has
important implications for compressive sensing, both in
terms of the dimensionality and sparsity of signals. We
illustrate the impact of this property with an inpainting
problem on the sphere, where we show superior
reconstruction performance when adopting the new sampling
theorem.
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07/01/2014 8:11
Last modification date
20/08/2019 15:55
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