Comparing D-Bar and Common Regularization-Based Methods for Electrical Impedance Tomography

The objective of this paper is to compare D-bar difference reconstruction with
regularized linear reconstruction in electrical impedance tomography. We chose a standard regularized linear approach using a Laplacian penalty and the GREIT method for comparison. Simulated data was generated using a circular phantom with small objects, as well as a `Pac-Man' shaped conductivity target. An L-curve method was used for parameter selection in both D-bar and the regularized methods. We find that the D-bar method has a more position independent point spread function, is less sensitive to errors in electrode position and behaves differently with respect to additive noise than the regularized methods. The results allow a novel pathway between traditional and D-bar algorithm comparison.