Space-Time Electromagnetic Inverse Scattering Tomography of Objects With Affine Deformation

Abstract

In this article, an electromagnetic inverse scattering problem (EISP) method is implemented successfully to capture the dynamic phenomena of the scene with affine deformation. In the presented method, a new variational model has been suggested which is based on two error functions of the current and state equations. Moreover, two types of regularizers have been adopted in the proposed scheme. In the first type, two separated spatial total variation (TV) and smooth, temporal regularization terms are used. In the second kind, a TV regularization, being a function of both spatial and temporal variables, is used. It is shown that the second type gives better results compared to the first type. The minimization problem is solved by the first-order primal-dual optimization algorithm of Chambolle and Pock.