Validation of a finite element solution for electrical impedance tomography in an anisotropic medium.
In: Scharfetter, H and Merwa, R, (eds.)
13TH INTERNATIONAL CONFERENCE ON ELECTRICAL BIOIMPEDANCE AND THE 8TH CONFERENCE ON ELECTRICAL IMPEDANCE TOMOGRAPHY 2007.
(pp. 372 - 375).
Electrical Impedance Tomography has the potential to become a portable non-invasive medical imaging technique. Until now. implementations have neglected anisotropy even though human tissues like bone, muscle, and brain white matter are markedly anisotropic. We present a numerical solution using the finite element method that has been modified for modelling anisotropic conductive media. It was validated in an anisotropic domain against an analytical solution in an isotropic medium after the isotropic domain was diffeomorphically transformed into an anisotropic one. Convergence of the finite element to the analytical solution was verified by showing that the finite element error norm decreased linearly related to the finite element size., as the mesh density increased, for the simplified case of Laplace's equation in a cubical domain with a Dirichlet boundary condition.
|Title:||Validation of a finite element solution for electrical impedance tomography in an anisotropic medium|
|Event:||13th International Conference on Electrical Bioimpedance/8th Conference on Electrical Impedance Tomography|
|Dates:||2007-08-29 - 2007-09-02|
|Keywords:||FEM, anisotropy, diffeomorphism, RECONSTRUCTION ALGORITHMS, CONDUCTIVITY, UNIQUENESS, BODIES, HEAD, EIT|
|UCL classification:||UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
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