Direct regularized reconstruction for the three-dimensional Calderón problem

<p style='text-indent:20px;'>Electrical Impedance Tomography gives rise to the severely ill-posed Calderón problem of determining electrical conductivity distribution in a bounded domain from knowledge associated Dirichlet-to-Neumann map for governing equation. The uniqueness and stability questions three-dimensional were largely answered affirmative 1980's using complex geometrical optics solutions, this led further direct reconstruction method relying on non-physical scattering transform. In paper, is taken one step towards practical applications by considering data contaminated noise. Indeed, regularization strategy presented based suitable explicit truncation This certified, stable that robust small perturbations data. Numerical tests simulated noisy illustrate feasibility regularizing effect method, suggest numerical implementation performs better than predicted theory.</p>