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Comparing D-bar and common regularization-based methods for electrical impedance tomography
S J Hamilton1, W R B Lionheart, A Adler
1Department of Mathematics, Statistics, and Computer Science, Marquette University, Milwaukee, WI 53233, United States of America.
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.
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