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Physics has played a fundamental role in medicine sciences, specially inimaging diagnostic. Currently, image reconstruction techniques are alreadytaught in Physics courses and there is a growing interest in new potentialapplications. The aim of this paper is to introduce to students the electricalimpedance tomography, a promising technique in medical imaging. We consider anumerical example which consists in finding the position and size of anon-conductive region inside a conductive wire. We review the electricimpedance tomography inverse problem modeled by the minimization of an errorfunctional. To solve the boundary value problem that arises in the directproblem, we use the boundary element method. The simulated annealing algorithmis chosen as the optimization method. Numerical tests show the technique isaccurate to retrieve the non-conductive inclusion.

Boundary element method and simulated annealing algorithm applied to electrical impedance tomography image reconstruction