title: A Sparsity-Constrained Preconditioned Kaczmarz Reconstruction Method for Fluorescence Molecular Tomography.
abstract: Fluorescence molecular tomography (FMT) is an imaging technique that can localize and quantify fluorescent markers to resolve biological processes at molecular and cellular levels. Owing to a limited number of measurements and a large number of unknowns as well as the diffusive transport of photons in biological tissues, the inverse problem in FMT is usually highly ill-posed. In this work, a sparsity-constrained preconditioned Kaczmarz (SCP-Kaczmarz) method is proposed to reconstruct the fluorescent target for FMT. The SCP-Kaczmarz method uses the preconditioning strategy to minimize the correlation between the rows of the forward matrix and constrains the Kaczmarz iteration results to be sparse. Numerical simulation and phantom and in vivo experiments were performed to test the efficiency of the proposed method. The results demonstrate that both the convergence and accuracy of the proposed method are improved compared with the classical memory-efficient low-cost Kaczmarz method.
authors.affiliation: Life Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China.
authors.forename: Duofan
authors.identifier: 0000-0002-7919-6979
authors.initials: D
authors.lastname: Chen
authors.affiliation: Life Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China.
authors.forename: Jimin
authors.identifier: 0000-0003-1428-5804
authors.initials: J
authors.lastname: Liang
authors.affiliation: Life Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China.
authors.forename: Yao
authors.identifier: 0000-0003-2650-7304
authors.initials: Y
authors.lastname: Li
authors.affiliation: Life Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China.
authors.forename: Guanghui
authors.identifier: 0000-0001-9876-2158
authors.initials: G
authors.lastname: Qiu
mesh_terms: D000818:Animals; D006801:Humans; D008962:Models, Theoretical; D061848:Optical Imaging