Seminar

A regularized inversion procedure for is presented two-dimensional electrical impedance tomography. The regularization is based on truncation of the scattering transform; this can be viewed as nonlinear low-pass filtering. This leads to a stable reconstruction of the conductivity; an explicit rate of convergence in appropriate Banach spaces is derived as well. Numerical results are included, demonstrating the convergence of the reconstructed conductivity to the true conductivity as the noise level tends to zero. The results provide a link between two traditions of inverse problems research: theory of regularization and inversion methods based on complex geometrical optics.