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Sampling the Fourier transform along radial lines

Dossal, Charles; Duval, Vincent; Poon, Clarice (2017), Sampling the Fourier transform along radial lines, SIAM Journal on Numerical Analysis, 55, 6, p. 2540-2564. 10.1137/16M1108807

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1612.06752
Date
2017
Journal name
SIAM Journal on Numerical Analysis
Volume
55
Number
6
Publisher
SIAM - Society for Industrial and Applied Mathematics
Pages
2540-2564
Publication identifier
Metadata
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Author(s)
Dossal, Charles
Duval, Vincent cc
Poon, Clarice
Abstract (EN)
This article considers the use of total variation minimization for the recovery of a superposition of point sources from samples of its Fourier transform along radial lines. We present a numerical algorithm for the computation of solutions to this infinite dimensional problem. The theoretical results of this paper make precise the link between the sampling operator and the recoverability of the point sources.
Subjects / Keywords
Compressed sensing; Total variation; Radon transform