@techreport{elediasc12783, type = {Technical Report}, title = {Microwave Imaging of Sparse Objects through Matrix Completion}, author = {G. Oliveri and M. Salucci and N. Anselmi}, year = {2018}, publisher = {ELEDIA Research Center - University of Trento}, keywords = {Born approximation (BA), Bayesian Compressive Sensing (BCS), Inverse Scattering (IS), Matrix Completion (MC)}, abstract = {In this work, a novel approach to solve the inverse scattering (IS) problem to image sparse and weak targets is presented. Towards this aim, the 2D-TM IS problem at hand is formulated within the first-order Born approximation and solved by integrating a Bayesian compressive sensing (BCS) solver with a customized matrix completion (MC) procedure. If from the one hand the BCS allows the exploitation of sparseness priors to regularize the IS problem, on the other hand the MC allows to enhance the reconstruction quality when dealing with highly noisy scattering data, allowing to filter out the less reliable solution coefficients and to complete the retrieved dielectric profile image.}, url = {http://www.eledia.org/students-reports/783/} }