24 August 2017 Non-convex Shannon entropy for photon-limited imaging
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Abstract
Reconstructing high-dimensional sparse signals from low-dimensional low-count photon observations is a challenging nonlinear optimization problem. In this paper, we build upon previous work on minimizing the Poisson log-likelihood and incorporate recent work on the generalized nonconvex Shannon entropy function for promoting sparsity in solutions. We explore the effectiveness of the proposed approach using numerical experiments.
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Lasith Adhikari, Lasith Adhikari, Reheman Baikejiang, Reheman Baikejiang, Omar DeGuchy, Omar DeGuchy, Roummel F. Marcia, Roummel F. Marcia, } "Non-convex Shannon entropy for photon-limited imaging", Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940L (24 August 2017); doi: 10.1117/12.2274466; https://doi.org/10.1117/12.2274466
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