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 publiéExternal document link
https://arxiv.org/abs/1612.06752Date
2017Journal name
SIAM Journal on Numerical AnalysisVolume
55Number
6Publisher
SIAM - Society for Industrial and Applied Mathematics
Pages
2540-2564
Publication identifier
Metadata
Show full item recordAbstract (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 transformRelated items
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