Diffuse Optical Tomography Based on Radiative Transfer Equation with L∞ Data Fidelity and Total Variation Penalty Regularization

As a new noninvasive medical imaging technology that can provide functional information of tissues, diffuse optical tomography (DOT) has become one of the focused topics. Due to the strong scattering and weak absorption nature of biological tissues, noise interference and the relatively limited number of available measurements, the inverse problems of DOT is severely ill-posed. In this paper, to overcome the ill-posedness of inverse problems and to improve the quality of reconstructed image and the imaging efficiency, we study the L-infinity norm fitting combining with total variation penalty method for DOT based on radiative transport equation. Numerical results indicate that the proposed method has the robustness to the uniform noise. Moreover, the results show that the proposed method can well preserve the edges of the inclusions.