Resistivity Tensor Imaging via Network Discretization of Faraday's Law

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A resistive network-based anisotropic resistivity reconstruction method is introduced in this paper when three sets of internal electrical currents are given. Faraday's law is discretized using resistive networks for an anisotropic resistivity body such as a muscle or nerve fiber structure of an animal body. The resistivity tensor imaging method of this paper may provide another approach to finding the fiber structure of white matter. We take three sets of internal electrical current density and a part of boundary conductivity to construct the anisotropic conductivity in two space dimensions. The construction algorithm is explicit and local. Hence, the computation time is only of the order of space dimensions.
Publisher
SIAM PUBLICATIONS
Issue Date
2017-01
Language
English
Article Type
Article
Keywords

ELECTRICAL-IMPEDANCE TOMOGRAPHY; BOUNDARY-VALUE PROBLEM; MAGNETIC-RESONANCE; CURRENT-DENSITY; ANISOTROPIC CONDUCTIVITY; GLOBAL UNIQUENESS; INVERSE DIFFUSION; POWER DENSITIES; WHITE-MATTER; DTI DATA

Citation

SIAM JOURNAL ON IMAGING SCIENCES, v.10, no.1, pp.1 - 25

ISSN
1936-4954
DOI
10.1137/16M1074643
URI
http://hdl.handle.net/10203/223605
Appears in Collection
MA-Journal Papers(저널논문)
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