1205.3123 (R. E. Carrillo et al.)

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

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

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 (SARA). We show through simulations that the proposed approach largely outperforms state-of-the-art imaging methods in the field, which are based on the assumption of signal sparsity in a single basis only.

View original: http://arxiv.org/abs/1205.3123