A spare reconstruction algorithm for Cherenkov-excited luminescence scanned tomography (CELST) is developed to improve quantitative accuracy when luminescent probes locate in deeper tissue. The proposed algorithm incorporates the sparse a priori information of probes into the reconstruction. A fast iterative shrinkage threshold algorithm (FISTA) and 3D block matching (BM3D) algorithm are jointly employed to recover the distribution of luminescent. Numerical simulations demonstrate that the proposed method can result in more accurate quantitative reconstruction and increase depth of detection as compared with conventional Tikhonov based reconstruction algorithm used in CELST.
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