Efficient image reconstruction for fluorescence molecular tomography via linear regression approximation scheme with dual augmented Lagrangian method

With the development of non-contact fluorescence molecular tomography (FMT) imaging system, multi-fluorescence projections data can be obtained to improve the quality of reconstruction images. However, it remains a challenging issue to obtain fast and accurate reconstruction of the fluorescent probe distribution due to the large computational burden and the ill-posed nature of the inverse problem. In this work, we present an innovative method associating dual augmented lagrangian method (DALM) with a linear regression approximation (LRA) strategy to locate the fluorescence probe, which guarantees the accuracy, efficiency, and robustness for FMT reconstruction. Numerical experiments based on a heterogeneous phantom are performed to validate the feasibility of the proposed method. The results demonstrate that the proposed method can achieve accurate target localization, and satisfactory computational efficiency. Furthermore, this approach is robust even under quite ill-posed condition.