Objective: To compare D-bar difference reconstruction with regularized linear reconstruction in electrical impedance tomography. Approach: A standard regularized linear approach using a Laplacian penalty and the GREIT method for comparison to the D-bar difference images. 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. Main results: We found that the D-bar method had a more position independent point spread function, was less sensitive to errors in electrode position and behaved differently with respect to additive noise than the regularized methods. Significance: The results allow a novel pathway between traditional and D-bar algorithm comparison.
Hamilton, Sarah J.; Lionheart, W.R.B.; and Adler, A., "Comparing D-Bar and Common Regularization-Based Methods for Electrical Impedance Tomography" (2019). Mathematical and Statistical Science Faculty Research and Publications. 13.