Iterative Algorithms for Coupled Physics Electrical Conductivity Imaging

摘要

Coupled Physics Electrical Conductivity Imaging is a group of new imaging modalities in which the electrical conductivity is recovered from the interior data. In this talk the inverse conductivity problem of Current Density Impedance Imaging (CDII) is considered. The vari-ational approach is applied to solve this problem, and the corresponding weighted least gradient problems are analyzed for the Dirichlet and Robin boundary conditions. Three iterative algorithms for constructing the minimizing sequences for the weighted gradient functionals are presented. Their computational effectiveness is demonstrated in numerical experiments. The presentation is based on some results of a long-term project that has been pursued in collaboration with A. Nachman (University of Toronto, Canada) and A. Tamasan (University of Central Florida, USA).