Sampling the Fourier transform along radial lines

Abstract : 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.
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Contributor : Vincent Duval <>
Submitted on : Wednesday, December 21, 2016 - 10:58:47 PM
Last modification on : Thursday, April 26, 2018 - 10:28:48 AM

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Charles Dossal, Vincent Duval, Clarice Poon. Sampling the Fourier transform along radial lines. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2017, 55 (6), ⟨10.1137/16M1108807⟩. ⟨hal-01421265⟩

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