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Qi Zhang
| Speaker: |
Qi Zhang (TU/e)
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| Date: |
Wednesday July 6, 2011
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| Title: |
Iterative
methods
for solving nonlinear ill posed problem in parameter
estimation for electrical impedance tomography (Master's thesis
presentation)
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Abstract
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|
Electrical
impedance tomography (EIT) is a medical imaging technique in which an
image of the conductivity or permittivity of part of the body is
inferred from surface electrical measurements. The reconstruction of
conductivity distribution from the boundary measurements is the inverse
problem which is nonlinear and ill-posed. In this thesis, it firstly
studies the mathematical model of EIT and analyzes nonlinear and
ill-posedness of its inverse problem. Then, for solving the problem, it
discretizes the forward problem by finite element method. After that,
it applies iterative methods to image reconstruction of conductivity.
At last, in simulations and numerical experiments, it discusses
efficiency and reconstruction results of methods, and gives some
conclusions.
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