An ADMM method for diffuse optical tomography with L2 and L∞ fidelity and total variation regularization

This study introduces a Diffuse Optical Tomography reconstruction method that employs both L2 and L∞ fidelity and total variation regularization, solved by the ADMM method. By incorporating L∞ and L2 fidelity to mitigate the effects of uniform and Gaussian noise, along with TV regularization to enhance edge definition and structural integrity, our method effectively addresses the challenges associated with the ill-posed nature of DOT reconstructions. Numerical results shows that our approach can reconstruct satisfactory images under different noise levels.