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Compressed Sensing for Block-Sparse Smooth Signals

2013/09/10 by Shahzad Gishkori, Gishkori, Shahzad, Geert Leus +1
Engineering · Medicine · #Sparse and Compressive Sensing Techniques #Photoacoustic and Ultrasonic Imaging #Ultrasound Imaging and Elastography

paper · pdf · doi:10.48550/arxiv.1309.2505

Abstract

We present reconstruction algorithms for smooth signals with block sparsity from their compressed measurements. We tackle the issue of varying group size via group-sparse least absolute shrinkage selection operator (LASSO) as well as via latent group LASSO regularizations. We achieve smoothness in the signal via fusion. We develop low-complexity solvers for our proposed formulations through the alternating direction method of multipliers.

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