An adaptive relaxed Alternating Direction Method of Multipliers for compressive focal plane array imaging

In this paper, we propose a digital micromirror array based super-resolved image reconstruction algorithm. The method, which is based on Alternating Direction Method of Multipliers, is an adaptive relaxed version of the matrix-based algorithm, offers higher performance and convergence rate. The proposed algorithm involves solving a constrained optimization problem with multiple objective terms. For the problem, we design block diagonal system matrix and present a computationally efficient implementation. We analyze the performance of the algorithm in a comparative manner.