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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics

Clemson University

2011

Optimal Currents

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Optimal Currents In Electrical Impedance Tomography With Robin Boundary Conditions, Cristoffer Cordes Aug 2011

Optimal Currents In Electrical Impedance Tomography With Robin Boundary Conditions, Cristoffer Cordes

All Theses

Electrical Impedance Tomography is an imaging technique with high potential in medical imaging. As of today the resolution is very low and measurement errors have a huge influence on the result.
In order to improve the results, the currents that are applied to perform the measurements have to be chosen carefully, and the best method to do so has not been found yet. For analytical and numerical convenience the spaces of the currents and voltages are often assumed to be L2. However, recent studies have shown that by introducing spaces that are more involved with the weak formulation of the …