A fast image reconstruction algorithm for electrical impedance tomography

In this paper, we propose a fast algorithm for the reconstruction of the conductivity perturbation delta sigma about a known conductivity variation sigma omicron. The method is based on the minimization of a quadratic functional subject to linear constraints, where the existence of a unique solution is guaranteed. The algorithm developed for this purpose is iterative and each iteration is composed of a simple matrix multiplication. The validity of this method is illustrated with several examples.