SRL-EII: A Modular and Efficient Numerical Solver for Electrical Impedance Imaging

Electrical impedance imaging (EII) is a functional imaging modality with high temporal resolution. Image reconstruction in EII seeks to estimate the electrical conductivity distribution inside of an object from external voltage measurements. It is a nonlinear and ill-posed inverse problem and requires iterative techniques. Here, we describe the implementation and validation of the Sanchez Research Lab-EII (SRL-EII) solver, an efficient algorithm using finite element model to solve the linearized reconstruction problem. The SRL-EII solver is benchmarked against reference EIDORS algorithm using experimental data, achieving a reconstruction error of 1.38.10<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−10</sup> and 6.76.10<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−10</sup>S/m for phantom tank and lung test experiments. The results demonstrate the numerical accuracy and scalability of the SRL-EII algorithm and its potential for standalone hardware implementations.