@inproceedings{4324fa8e4b83443091f203886850e428,
title = "Sampling theorems and compressive sensing on the sphere",
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.",
keywords = "compressive sensing, sampling theorem, Sphere, spherical harmonics",
author = "McEwen, {Jason D} and Gilles Puy and Jean-Philippe Thiran and Pierre Vandergheynst and {Van De Ville}, Dimitri and Yves Wiaux",
year = "2011",
doi = "10.1117/12.893481",
language = "English",
isbn = "9780819487483",
volume = "8138",
series = "Proceedings of SPIE--the International Society for Optical Engineering",
editor = "Papadakis, {Manos } and {Van De Ville}, {Dimitri } and Goyal, {Vivek K.}",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",
note = "Wavelets and Sparsity XIV ; Conference date: 21-08-2011 Through 24-08-2011",
}