Efficient non-linear 3D electrical tomography and finite element optimizations for functional source imaging

摘要

An essential basis for accurate functional source imaging is the knowledge of the conductivity distribution inside the body. Electrical Impedance Tomography (EIT) provides a method of obtaining this information by means of surface potential measurements resulting from small current injections. Major factors affecting the EIT image reconstruction are the application of appropriate constraints on the solution to allow the ill-posed inverse problem to be solved and the accurate discrete representation of patient geometry and surface electrodes. We address the influence of a finite element discretization on the solution of forward and inverse problem in tomographic reconstructions, discuss the implementation of an adaptive mesh refinement technique and present results from current density determination based on the improved conductivity image obtained by EIT.