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Equipotential line method for magnetic resonance electrical impedance tomography

Title
Equipotential line method for magnetic resonance electrical impedance tomography
Authors
Kwon O.Lee J.-Y.Yoon J.-R.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
2002
Journal Title
Inverse Problems
ISSN
0266-5611JCR Link
Citation
vol. 18, no. 4, pp. 1089 - 1100
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We consider magnetic resonance electrical impedance tomography, which aims to reconstruct the conductivity distribution using the internal current density furnished by magnetic resonance imaging. We show the uniqueness of the conductivity reconstruction with one measurement imposing the Dirichlet boundary condition. We also propose a fast non-iterative numerical algorithm for the conductivity reconstruction using the internal current vector information. The algorithm is mainly based on efficient numerical construction of equipotential lines. The resulting numerical method is stable in the sense that the error of the computed conductivity is linearly proportional to the input noise level and the introduction of internal current data makes the impedance tomography problem well-posed. We present various numerical examples to show the feasibility of using our method.
DOI
10.1088/0266-5611/18/4/310
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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