Analysis of the electrical impedance tomography algorithm based on finite element method and Tikhonov regularization

Electrical impedance tomography is able to estimate the electrical properties at the interior of a biological tissue from voltage and current measurement data on its boundary. It can be used to achieve functional imaging of tissues. Electrical impedance tomography is composed of a forward problem and an inverse problem. In this paper, a two-dimensional model of electrical impedance tomography is built first. Then, a finite element subdivision of target area is realized to establish finite element equations of forward problem. In consideration of the uncertainty of inverse problem, a Tikhonov regularization method is performed and Gauss-Newton iteration method is adopted to get stable solution. Several simulation experiments are carried out to evaluate the performance of the image reconstruction algorithm based on finite element method and Tikhonov regularization. Results indicate that the reconstructed images already have the ability to show the impedance distribution.