Electrical Impedance Tomography is a non-invasive technique for obtaining images of the interior of a body. The image reconstruction can be approached as an optimization problem that looks for the maximization of the consistency between the behaviour of a parametrized model of the body and physical measurements. This optimization problem is non-linear and non-convex, and its solution usually involves a great computational cost, as the evaluation of the objective function at each iteration involves the simulation of the parametrized model, usually through the Finite Element Method. The goal of this project is to create a new objective function that admits an iterative evaluation at low computational cost.
News published in Agência FAPESP Newsletter about the scholarship: