title: An adaptive support driven reweighted L1-regularization algorithm for fluorescence molecular tomography.
abstract: Fluorescence molecular tomography (FMT) is a promising in vivo functional imaging modality in preclinical study. When solving the ill-posed FMT inverse problem, L1 regularization can preserve the details and reduce the noise in the reconstruction results effectively. Moreover, compared with the regular L1 regularization, reweighted L1 regularization is recently reported to improve the performance. In order to realize the reweighted L1 regularization for FMT, an adaptive support driven reweighted L1-regularization (ASDR-L1) algorithm is proposed in this work. This algorithm has two integral parts: an adaptive support estimate and the iteratively updated weights. In the iteratively reweighted L1-minimization sub-problem, different weights are equivalent to different regularization parameters at different locations. Thus, ASDR-L1 can be considered as a kind of spatially variant regularization methods for FMT. Physical phantom and in vivo mouse experiments were performed to validate the proposed algorithm. The results demonstrate that the proposed reweighted L1-reguarization algorithm can significantly improve the performance in terms of relative quantitation and spatial resolution.
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China.
authors.forename: Junwei
authors.initials: J
authors.lastname: Shi
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China ; Tsinghua-Peking Center for Life Sciences, Beijing 100084, China.
authors.forename: Fei
authors.initials: F
authors.lastname: Liu
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China.
authors.forename: Huangsheng
authors.initials: H
authors.lastname: Pu
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China.
authors.forename: Simin
authors.initials: S
authors.lastname: Zuo
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China ; Center for Biomedical Imaging Research, School of Medicine, Tsinghua University, Beijing 100084, China.
authors.forename: Jianwen
authors.initials: J
authors.lastname: Luo
authors.affiliation: Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China.
authors.forename: Jing
authors.initials: J
authors.lastname: Bai
keywords: (100.3010) Image reconstruction techniques; (100.3190) Inverse problems; (110.6955) Tomographic imaging; (170.3660) Light propagation in tissues; (170.3880) Medical and biological imaging; (290.1990) Diffusion