Two-Dimensional Electrical Impedance Tomography Algorithm

This document presents a MATLAB implementation of a two-dimensional electrical impedance tomography algorithm designed for medical imaging applications. The algorithm systematically addresses both the forward problem through finite element meshing techniques and the inverse problem reconstruction using optimization-based approaches. The implementation includes comprehensive network meshing data tables that define node coordinates, element connectivity, and material properties. Key computational components involve solving Laplace's equation using finite element methods for potential distribution simulation and employing regularization techniques like Tikhonov regularization for stable inverse solutions. This algorithm demonstrates significant potential in medical imaging by enabling more accurate disease diagnosis and improved treatment outcomes through detailed conductivity mapping. Consequently, it holds substantial academic importance for computational imaging research while offering considerable societal value through enhanced medical diagnostics.