A D-bar Algorithm with A Priori Information for Electrical Impedance Tomography

TL;DR

This paper introduces a modified 2-D D-bar algorithm for electrical impedance tomography that incorporates prior information, significantly enhancing spatial resolution in numerical simulations with various noise levels.

Contribution

The paper presents two novel approaches for integrating a priori conductivity data into the D-bar algorithm, tailored for different application scenarios.

Findings

Enhanced spatial resolution demonstrated in numerical tests

Effective noise robustness shown in simulations

Two methods for prior incorporation compared successfully

Abstract

A method for including a priori information in the 2-D D-bar algorithm is presented. Two methods of assigning conductivity values to the prior are presented, each corresponding to a different scenario on applications. The method is tested on several numerical examples with and without noise and is demonstrated to be highly effective in improving the spatial resolution of the D-bar method.