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A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions

Title
A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions
Authors
Lee J.-Y.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
2004
Journal Title
Inverse Problems
ISSN
0266-5611JCR Link
Citation
vol. 20, no. 3, pp. 847 - 858
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We consider a reconstruction formula for the internal conductivity and uniqueness of conductivity in magnetic resonance electrical impedance tomography (MREIT) which aims to reconstruct the conductivity distribution using internal current distribution. We provide a counter-example of uniqueness for a single measurement of current density with Neumann boundary data and show that at least two measurements are required unless Dirichlet boundary data are given. We present a reconstruction formula and a non-iterative reconstruction method using two internal current densities, which gives a unique conductivity distribution up to a constant factor even without any boundary measurement. The curl-J method is based on the fact that the distortion of the current density vector is induced by the gradient of conductivity orthogonal to the current flow and the fact that no MREIT method can detect the conductivity gradient parallel to the current flow direction directly. We demonstrate the feasibility of our method with several realistic numerical examples.
DOI
10.1088/0266-5611/20/3/012
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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