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Non-Convex Sparse Optimization for Photon-Limited Imaging

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Citation Author(s):
Lasith Adhikari, Roummel Marcia
Submitted by:
Lasith Adhikari
Last updated:
6 March 2017 - 10:40am
Document Type:
Poster
Document Year:
2017
Event:
Presenters:
Lasith Adhikari
Paper Code:
4251
 

While convex optimization for low-light imaging has received some attention by the imaging community, non-convex optimization techniques for photon-limited imaging are still in their nascent stages. In this thesis, we developed a stage-based non-convex approach to recover high-resolution sparse signals from low-dimensional measurements corrupted by Poisson noise. We incorporate gradient-based information to construct a sequence of quadratic subproblems with an $\ell_p$-norm ($0 \leq p < 1$) penalty term to promote sparsity. The proposed methods lead to more accurate and high strength reconstructions in medical imaging applications such as bioluminescence tomography and fluorescence lifetime imaging.

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