Email: kim@math.auc.dk

CompanyName: Aalborg University

Country: Denmark

Abstract Title: Reconstruction of
less regular conductivities in the plane

Abstract

In a joint work with Alexandru Tamasan, University of Washington, we

consider the EIT problem of reconstructing an isotropic conductivity

distribution in an object from static electrical measurements on the

boundary of the object. We give an exact algorithm for computing a

conductivity in a plane domain from the associated

Dirichlet-to-Neumann map. The conductivity is assumed a priori to have

essentially one derivative.

The method relies on a reduction
of the conductivity equation to a

first order system for which the Dbar-method of

inverse scattering is applicable. The algorithm consists of two steps:

first the boundary data is transformed into scattering data and second

a certain inverse scattering transform is used to obtain the

conductivity. The method is exact in the sense that it attacks

directly the non-linear inverse problem and does not rely on

linearization, optimization or iterative schemes.