Numerical implementation of two noniterative methods for locating inclusions by impedance tomography

Electrical impedance tomography is applied to recover inclusions within a body from electrostatic measurements on the surface of the body. Here, an inclusion is defined to be a region where the electrical conductivity differs significantly from the background. Recently, theoretical foundations have been developed for new techniques to localize inclusions from impedance tomography data. In this paper it is shown that these theoretical results lead quite naturally to noniterative numerical reconstruction algorithms. The algorithms are applied to a number of test cases to compare their performance.