Using regularization methods for image reconstruction of electrical capacitance tomography

Image reconstruction of electrical capacitance tomography (ECT) is a typica l inverse problem owing to non-linearity and ill-posedness. At the same tim e, progress towards the solution of this kind of problem has been made at g ood speed as a branch of mathematics in the past three decades. In this pap er, most of the regularization tools developed for the inverse problem are applied to the reconstruction of various simulated images by ECT. The resul ts show promise for ECT image reconstruction by regularization methods. The non-linearity of the sensitivity matrix seems to be the major problem.