Evaluation of thin layer conductivity in a volume using Electrical Impedance Tomography

We propose anew formulation in electrical impedance tomography (EIT) for recovering the surface discontinuous coefficients in an elliptic problem by using the least squares and the Tikhonov regularization. Conductive thin layers of known geometry, but of unknown surface conductivity are immersed in a medium of known volume conductivity. The forward problem is solved by the Finite Element Method (FEM) applied to the discretized continuity equation. It is assumed that the surface conductivity is constant on individual edges of FEM grid. This new method can be applied to solve problems both in medical imaging and in industrial applications, where it can be used for the modelling of anisotropy in conductivity.