We propose a novel procedure for solving the Deconvolution Approach to the Mapping of Acoustic Sources (DAMAS) inverse problem. The proposed procedure is a two-stage, hybrid greedy/non-greedy algorithm based on orthogonal matching pursuit (OMP, step 1) and non-negative matrix factorization (NMF, step 2). The purpose of the second step is to compensate for the suboptimal nature of matching pursuit. The method has been evaluated using Monte Carlo simulations and validated on experimental data. Both simulated and experimental results were compared to a few standard methods of deconvolution. These evaluations show that the proposed method has comparable, and in some cases, higher overall accuracy than the reference methods, particularly when the actual point spread function deviates from the modeled one. Simultaneously, the calculation time is low enough for near real-time use.
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