Date of Award

8-2011

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

Advisor

Khan, Tauquar

Committee Member

Medlock , Jan

Committee Member

Yoon , Jeong-Rock

Abstract

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 problem, the algorithm of finding optimal currents gives significantly different results.
In addition the transition from posing the problem as a Neumann-to-Dirichlet experiment to posing it in a Robin-to-Dirichlet sense is often neglected due to the very similar nature of the resulting calculations.
This thesis investigates the impact of changing the boundary value problems in Electrical Impedance tomography from Neumann-to-Dirichlet to Robin-to-Dirichlet.
Several combinations of spaces for the Dirichlet and Robin data will be examined analytically and then compared to the according Neumann/Dirichlet spaces in a numerical simulation.

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