TITLE: An integral equation method for the inverse conductivity problem

   1 Laboratoire de Physique-Mathématique et Théorique,
      Université de   Montpellier II, 34095 Montpellier, France;

   2 Department of Mathematical Sciences, Oxford Brookes 
      University, Oxford OX33 1HX, United Kingdom;

ABSTRACT:

We present an image reconstruction algorithm for the inverse conductivity problem based on reformulating the problem in terms of integral equations. By using a priori information we are able to find a regularized conductivity distribution by solving first a Fredholm integral equation of the second kind and then by solving a first order partial differential equation for the conductivity . Many of the calculations involved in the method can be achieved analytically using the eigenfunctions of an integral operator defined in the paper.

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