A new total variational regularization method for nonlinear inverse problems in fluorescence molecular tomography

作者：Li, Li^*; Chen, Chen; Bi, Bo

来源：Journal of Computational and Applied Mathematics, 2020, 365: UNSP 112408.

DOI：10.1016/j.cam.2019.112408

• Ill-posed problems
• Total variational regularization
• Bregman distance
• Homotopy

Fluorescence molecular tomography (FMT) is an imaging way of in vivo optical imaging, which is widely used in biomedical photon imaging for its higher sensitivity. For years, the propagation process of photons in tissue is simulated based on the equation of radiative transfer. In this work, we analyze an inverse problem in FMT, which uses the reading of body surface detector to reconstruct the optical parameter distribution. We propose a novel total variational regularization method to solve the absorption parameter inversion problem in FMT. The proof of the proposed method is also provided. Finally, numerical experiments demonstrate the feasibility of the proposed method.

• 单位
  harbin inst technol; 大庆石油学院