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NEW RECONSTRUCTION ALGORITHMS IN ELECTRICAL IMPEDANCE TOMOGRAPHY BASED ON NONLINEAR OPTIMIZATION

We consider the inverse conductivity problem in Electrical Impedance Tomography for which we focus on the case of important conductivity jumps. If we formulate the problem with a boundary element method we obtain a nonlinear system which can be solved by a Levenberg-Marquardt method. The important size of this system is reduced by simulating a global current injection. The resolution of the new nonlinear system allows us to reconstruct the first layer of the domain. Once this layer obtained we iterate the process to reconstruct the next layer by choosing an accurate starting point that is a conductivity distribution which minimizes the difference between measured and calculated potentials on the boundary. With this method we obtain a layer reconstruction algorithm which gives good results not only for small conductivity jumps but also for important jumps.