Institute of Mathematics
University of the Philippines
Diliman, Quezon City, Philippines
email: rmendoza@math.upd.edu.ph
Institute for Mathematics and Scientific Computing
Karl-Franzens University of Graz, Austria
email: stephen.keeling@uni-graz.at
Renier Mendoza, Stephen Keeling
Abstract:
In electrical impedance tomography (EIT), image reconstruction of the
conductivity distribution of a body can be calculated using measured voltages
at the boundary. This is done by solving an inverse problem for
an elliptic partial differential equation (PDE).
In this work, we present some sensitivity results arising from the solution
of the PDE. We use these to show that a segmentation approach to the EIT inverse
problem has a unique solution in a suitable space using a fixed point theorem.
Submitted October 23, 2019. Published September 16, 2020.
Math Subject Classifications: 35J20, 47H10, 35R30.
Key Words: Electrical impedance tomography problem;
two-phase segmentation algorithm; fixed point theorem.
DOI: 10.58997/ejde.2020.93
Show me the PDF file (415 KB), TEX file for this article.
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Renier Mendoza Institute of Mathematics University of the Philippines Diliman, Quezon City, Philippines email: rmendoza@math.upd.edu.ph |
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Stephen Keeling Institute for Mathematics and Scientific Computing Karl-Franzens University of Graz, Austria email: stephen.keeling@uni-graz.at |
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