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

Дата и время публикации : 2011-10-28T11:18:12Z

Авторы публикации и институты :
J. D. McEwen
G. Puy
J. -Ph. Thiran
P. Vandergheynst
D. Van De Ville
Y. Wiaux

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 1 page, 2 figures, Signal Processing with Adaptive Sparse Structured Representations (SPARS) 2011
Первичная категория: cs.IT

Все категории : cs.IT, astro-ph.IM, math.IT

Краткий обзор статьи: 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.

Category: Physics