2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform

The D-bar method for electrical impedance tomography requires the computation of an intermediate function known as the scattering transform from the measured data. An approximation to the scattering transform utilizing the standard Green's function for the Laplacian was introduced for the 2D D-bar method in Mueller and Siltanen (2003 SIAM J. Sci. Comp. 24 1232-66) and tested on simple numerically simulated conductivity distributions. In this work, the approximation is implemented for experimental data for the first time. It is tested on both tank and human chest data, and the results demonstrate decreased blurring toward the boundary in the images than in images computed with the t(exp) approximation to the scattering transform.