A Contrast-Source Inversion Approach Base on Projected Landweber-Kaczmarz

An updated contrast-source inversion (CSI) scheme is proposed in this work. The scheme minimizes the misfits of the contrast-source (CS) equations using the Landweber-Kaczmarz (LWKZ) algorithm. The step lengths were updated using the maximum eigenvalues of the Fréchet derivative matrices associated with the cost terms through each iteration. At the end of the iterative loop, a first-norm projection operator is imposed to satisfy the sparsity constraint. Numerical results illustrate the efficiency of the proposed approach both in image quality and reconstruction time.