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Correcting for variability in mesh geometry in Finite Element Models

Summary: Correcting for variability in mesh geometry in Finite
Element Models
Andy Adler1, and William R.B. Lionheart2
1Systems and Computer Engineering, Carleton University, Ottawa, Canada
2School of Mathematics, University of Manchester, UK
Abstract: We show that variability in the finite element model (FEM) geometry in the
EIT forward model can result in image artefacts in the reconstructed images. We explain
these artefacts as the result of changes in the projection of the anisotropic conductivity
tensor onto the FEM system matrix. This introduces anisotropic components into the
simulated voltages, which cannot be reconstructed onto an isotropic image, and appear
as artefacts. In order to address this problem, we show that it is possible to incorporate
a FEM vertex movement component into the formulation of the inverse problem. These
results suggest that it may be important to consider artefacts due to FE mesh geometry
in the formulation of EIT image reconstruction.
1 Introduction
In this paper, we describe the image reconstruction artefacts which occur in electrical
impedance tomography (EIT) images due to limitations in the finite element models, and
show an algorithmic approach to limit such effects. The earliest approaches to EIT image
reconstruction were based on 2D circular approximations of the thorax[6]. However, since
such analytical models cannot describe electrical propagation in realistic body shapes, finite


Source: Adler, Andy - Department of Systems and Computer Engineering, Carleton University


Collections: Computer Technologies and Information Sciences