A new descent algorithm for electrical impedance tomography

In Electrical Impedance Tomography (EIT). the main goal is to reconstruct the conductivity distribution of an object by means of repeated current injection through neighboring electrodes and measuring the resulting voltage differences between the remaining electrodes. Most of the algorithms currently used in EIT reconstruct the conductivity variation after the problem is linearized around a known conductivity distribution. In this new algorithm, variational techniques will be used to obtain a set of equations that must be satisfied by the optimum conductivity distribution, namely the state and adjoint state (or, costate) equations and the expression which is obtained by evaluating the gradient of the cost functional with respect to the conductivity distribution.