Algebraic reconstraction for 3D magnetic resonance-electrical impedance tomography (MREIT) using one component of magnetic flux density
Author
Ider, Y. Z.
Onart, S.
Date
2004Source Title
Physiological Measurement
Print ISSN
0967-3334
Publisher
Institute of Physics and Engineering in Medicine
Volume
25
Issue
1
Pages
281 - 294
Language
English
Type
ArticleItem Usage Stats
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Show full item recordAbstract
Magnetic resonance-electrical impedance tomography (MREIT) algorithms fall into two categories: those utilizing internal current density and those utilizing only one component of measured magnetic flux density. The latter group of algorithms have the advantage that the object does not have to be rotated in the magnetic resonance imaging (MRI) system. A new algorithm which uses only one component of measured magnetic flux density is developed. In this method, the imaging problem is formulated as the solution of a non-linear matrix equation which is solved iteratively to reconstruct resistivity. Numerical simulations are performed to test the algorithm both for noise-free and noisy cases. The uniqueness of the solution is monitored by looking at the singular value behavior of the matrix and it is shown that at least two current injection profiles are necessary. The method is also modified to handle region-of-interest reconstructions. In particular it is shown that, if the image of a certain xy-slice is sought for, then it suffices to measure the z-component of magnetic flux density up to a distance above and below that slice. The method is robust and has good convergence behavior for the simulation phantoms used.
Keywords
Bz based algorithmEIT
Finite element method
Magnetic resonance-electrical impedance tomography
MREIT
Algorithm
Computer assisted impedance tomography
Computer simulation
Electric current
Finite element analysis
Image reconstruction
Imaging system
Magnetic field
Mathematical analysis
Nuclear magnetic resonance imaging
Phantom
Priority journal
Signal noise ratio
Three dimensional imaging
Three dimensional magnetic resonance electrical impedance tomography
Impedance
Instrumentation
Methodology
Theoretical model
Tomography
Electric Impedance
Magnetics
Models
Radiation
Theoretical
Permalink
http://hdl.handle.net/11693/27466Published Version (Please cite this version)
https://doi.org/10.1088/0967-3334/25/1/032Collections
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