Reconstruction of sparse log-conductivity in current density impedance imaging

Abstract: In this talk, we present a new approach to reconstruct sparse log-conductivities arising in current density impedance tomography (CDII). CDII is a non-invasive hybrid imaging modality where voltage is passed to electrodes placed across an object and the corresponding interior electric field is measured. Using these measurements, one tries to reconstruct the interior of the object. Unfortunately, existing mathematical reconstruction algorithms suffer from loss of contrast in the images. We, thus, use an alternate method comprising of sparse optimization and edge-enhancing anisotropic diffusion to obtain images with high quality. Several numerical experiments demonstrate the superiority of our method. This is a joint work with Madhu Gupta and Rohit Kumar Mishra.