Sampling the Fourier transform along radial lines

Charles Dossal, Vincent Duval, Clarice Poon

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.


Original languageEnglish
Pages (from-to)2540-2564
Number of pages25
JournalSIAM Journal on Numerical Analysis
Volume55
Issue number6
Early online date2 Nov 2017
DOIs
Publication statusPublished - 31 Dec 2017

Cite this

Sampling the Fourier transform along radial lines. / Dossal, Charles; Duval, Vincent; Poon, Clarice.

In: SIAM Journal on Numerical Analysis, Vol. 55, No. 6, 31.12.2017, p. 2540-2564.

Research output: Contribution to journalArticle

Dossal, Charles ; Duval, Vincent ; Poon, Clarice. / Sampling the Fourier transform along radial lines. In: SIAM Journal on Numerical Analysis. 2017 ; Vol. 55, No. 6. pp. 2540-2564.
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