Nonconvex sparse poisson intensity reconstruction for time-dependent bioluminescence tomography

This paper concerns time-dependent bioluminescence imaging under low-photon conditions. In this problem, one seeks to reconstruct sources of light contained within a tissue sample from noisy boundary measurements of scattered light. The main challenge in this problem lies in processing signals that are constrained by partial differential equations. In this paper, we propose a novel two-stage method to recover time-dependent bioluminescent sources from boundary measurements corrupted by Poisson noise. Numerical experiments demonstrate the effectiveness of the proposed approach.