The Dipole Approximation Method And Its Coupling With The Regular Boundary Element Method For Efficient Electrical Impedance Tomography
Free (open access)
N.A. Gumerov, G.L. Chahine and A.G. Goumilevski
The Electrical Impedance Tomography (BIT) utilizes CPU time-consuming minimization techniques for imaging an object. In this paper we present a computationally fast method for the forward/inverse BIT problem based on an asymptotic solution to Laplace's equation for an imaged domain with a small size inclusion situated inside of it. In this solution the principal term is represented by a dipole term. The computational time required by an BIT problem using the Dipole Approximation (DA) can be two orders of magnitude smaller than when using regular BEM. Results of numerical tests show a substantial improvement in the speed of the inverse problem solution when using the DA BEM approach.