L1–L2 Minimization Via A Proximal Operator For Fluorescence Molecular Tomography

Fluorescent Molecular Tomography (FMT) is a highly sensitive and noninvasive imaging method that provides three-dimensional distribution of biomarkers by noninvasive detection of fluorescent marker probes. However, due to the light scattering effect and ill-posedness of inverse problems, it is challenging to develop an efficient construction method that can provide the exact location and morphology of the fluorescence distribution. In this paper, we proposed L
1
−L
2
norm regularization to improve FMT reconstruction. In our research, proximal operators of non-convex L
1
−L
2
norm and forward-backward splitting method was adopted to solve the inverse problem of FMT. Simulation results on heterogeneous mouse model demonstrated that the proposed FBS method is superior to IVTCG, DCA and IRW-L
1/2
reconstruction methods in location accuracy and other aspects.