Resistor Network Analogy of Non-obtuse Finite Element Model for Electrical Impedance Tomography

Abstract

This paper introduces resistor network analogy of Finite Element Modelling (FEM). The nonlinear iterative algorithms for image reconstruction in Electrical Impedance Tomography (EIT) involve computation with large matrices resulting from FEM. Consequently, it is difficult to realise real-time solutions. By recognising that a non-obtuse finite element model can be considered to be equivalent to a resistor network, the proposed technique employs matrices
of resistors that emulate the elements of a conventional mesh. Software simulations explore
the accuracy in the forward solution for Electrical Impedance Tomography application. Results of simulation suggest that forward problem can be solved efficiently using iterative methods with reduced tolerance.