Journal Article

Sparsity Averaging Reweighted Analysis (SARA): a novel algorithm for radio-interferometric imaging

R. E. Carrillo, J. D. McEwen and Y. Wiaux

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 426, issue 2, pages 1223-1234
Published in print October 2012 | ISSN: 0035-8711
Published online October 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21605.x
Sparsity Averaging Reweighted Analysis (SARA): a novel algorithm for radio-interferometric imaging

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We propose a novel algorithm for image reconstruction in radio interferometry. The ill-posed inverse problem associated with the incomplete Fourier sampling identified by the visibility measurements is regularized by the assumption of average signal sparsity over representations in multiple wavelet bases. The algorithm, defined in the versatile framework of convex optimization, is dubbed Sparsity Averaging Reweighted Analysis. We show through simulations that the proposed approach outperforms state-of-the-art imaging methods in the field, which are based on the assumption of signal sparsity in a single basis only.

Keywords: techniques: image processing; techniques: interferometric

Journal Article.  7963 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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