An improved Wexler algorithm for electrical impedance tomography using finite element method and gradient based overrelaxation
Year: 2026
Type: article
Abstract: Electrical impedance tomography (EIT) is a method of internal imaging that requires fast, reliable reconstruction algorithms, especially as wearable technology becomes more popular. We introduce consecutive improvements to the historic Wexler scheme. Firstly, we express it in a form suitable for the finite element method. Furthermore, the algorithm is overrelaxed. The step size is variable and depends on the change in the gradient of the objective function, which improves convergence. The new, simpler electrode model further enhances image quality. We also propose a method for finding the initial conductivity. Those changes bring the scheme on par with standard algorithms such as NOSER and Gauss-Newton with total variational regularization. Moreover, we demonstrate its ability to scale with large-mesh tests.
Source: Scientific Reports
Authors: Maciej Jurgielewicz, Cezary J. Walczyk
Institution: University of Białystok
Language: English
Subfield: Electrical and Electronic Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,690
OpenAlex ID: W7118287457