EIT reconstructions and Faddeev solutions for a numerically simulated phantom chest

Electrical impedance tomography (EIT) uses measurements of electromagnetic fields to reconstruct the conductivity distribution inside of a body. As a medical imaging technique, EIT has many applications including cardio-pulmonary imaging, cranial imaging, and breast cancer detection. The D-bar method uses inverse scattering techniques and is based on a uniqueness proof in 2-D by Nachman [Ann. of Math.143 (1996)]. In this paper, the solution of the D-bar equation is tested on a model consisting of a numerical simulation of a human chest containing simulated skin, lungs and heart. Faddeev solutions are computed for this simulation and are compared to each other and their known asymptotic behavior.