Implications for compressed sensing of a new sampling theorem on the sphere
Information Theory
2011-10-31 v1 Instrumentation and Methods for Astrophysics
math.IT
Abstract
A sampling theorem on the sphere has been developed recently, requiring half as many samples as alternative equiangular sampling theorems on the sphere. A reduction by a factor of two in the number of samples required to represent a band-limited signal on the sphere exactly has important implications for compressed 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 the superior reconstruction performance when adopting the new sampling theorem compared to the alternative.
Cite
@article{arxiv.1110.6296,
title = {Implications for compressed sensing of a new sampling theorem on the sphere},
author = {J. D. McEwen and G. Puy and J. -Ph. Thiran and P. Vandergheynst and D. Van De Ville and Y. Wiaux},
journal= {arXiv preprint arXiv:1110.6296},
year = {2011}
}
Comments
1 page, 2 figures, Signal Processing with Adaptive Sparse Structured Representations (SPARS) 2011