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A Numerical Method for Determining the Inhomogeneity Boundary in the Electrical Impedance Tomography Problem in the Case of Piecewise-Constant Conductivity

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Abstract

A two-dimensional electrical impedance tomography problem in the case of piecewise-constant electrical conductivity, taking two known values, is considered. It is required to determine the boundary between regions with different conductivity. The initial information for solving the problem consists of several pairs of current and voltage distributions on the outer boundary of the body. A numerical method for determining the unknown boundary is proposed, and the results of computational experiments are presented.

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Funding

This work was supported by the Moscow Center for Fundamental and Applied Mathematics.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    S. V. Gavrilov

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  1. S. V. Gavrilov
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Correspondence to S. V. Gavrilov.

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Gavrilov, S.V. A Numerical Method for Determining the Inhomogeneity Boundary in the Electrical Impedance Tomography Problem in the Case of Piecewise-Constant Conductivity. Math Models Comput Simul 13, 579–585 (2021). https://doi.org/10.1134/S207004822104013X

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  • DOI: https://doi.org/10.1134/S207004822104013X

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