Non-convex Shannon entropy for photon-limited imaging

Lasith Adhikari; Reheman Baikejiang; Omar DeGuchy; Roummel F. Marcia

doi:10.1117/12.2274466

24 August 2017 Non-convex Shannon entropy for photon-limited imaging

Lasith Adhikari, Reheman Baikejiang, Omar DeGuchy, Roummel F. Marcia

Author Affiliations +

Proceedings Volume 10394, Wavelets and Sparsity XVII; 103940L (2017) https://doi.org/10.1117/12.2274466
Event: SPIE Optical Engineering + Applications, 2017, San Diego, California, United States

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, Reheman Baikejiang, Omar DeGuchy, and Roummel F. Marcia "Non-convex Shannon entropy for photon-limited imaging", Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940L (24 August 2017); https://doi.org/10.1117/12.2274466

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