Atomic Decomposition by Basis Pursuit
SIAM Review
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In this work, a novel variable-p iteratively weighted algorithm is proposed for image reconstruction. The proposed algorithm introduced a dynamically adjusting strategy for the variable p in the nonconvex lp(0pl1 norm problem which is easy to implement, and approach the original l0 norm problem during the iteration. Numerical experiments indicate that the proposed algorithm can reconstruct the images with fewer measurements than existing fixed-p algorithms.