Implications for compressed sensing of a new sampling theorem on the sphere

Details Implications for compressed sensing of a new sampling theorem on the sphere Implications for compressed sensing of a new sampling theorem on the sphere

2011-10-28

arxiv.org/abs/1110.6296v1

Computer Science

Information Theory

1 page, 2 figures, Signal Processing with Adaptive Sparse Structured Representations (SPARS) 2011

Scientific paper

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.

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