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

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.

Conference Presentation

Citation Download Citation

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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