Impedance tomography: use of an optimal control model

Impedance tomography is one of the most recent imaging techniques of the human body and it needs specific reconstruction techniques. So we have developed an algorithm which, using peripheral potential values, allows the calculation of the potential distribution at all points of a domain ?, without the knowledge of the conductivity. This algorithm using optimal control techniques thus allows the detection of perturbations in an homogeneous domain. Results in 2 and 3D are presented after the theoretical analysis of the problem to be solved.