Uniqueness and reconstruction in magnetic resonance-electrical impedance tomography (MR-EIT)

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dc.citation.epage604en_US
dc.citation.issueNumber2en_US
dc.citation.spage591en_US
dc.citation.volumeNumber24en_US
dc.contributor.authorİder, Y. Z.en_US
dc.contributor.authorOnart, S.en_US
dc.contributor.authorLionheart, W. R. B.en_US
dc.date.accessioned2016-02-08T11:55:58Z
dc.date.available2016-02-08T11:55:58Z
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractMagnetic resonance-electrical impedance tomography (MR-EIT) was first proposed in 1992. Since then various reconstruction algorithms have been suggested and applied. These algorithms use peripheral voltage measurements and internal current density measurements in different combinations. In this study the problem of MR-EIT is treated as a hyperbolic system of first-order partial differential equations, and three numerical methods are proposed for its solution. This approach is not utilized in any of the algorithms proposed earlier. The numerical solution methods are integration along equipotential surfaces (method of characteristics), integration on a Cartesian grid, and inversion of a system matrix derived by a finite difference formulation. It is shown that if some uniqueness conditions are satisfied, then using at least two injected current patterns, resistivity can be reconstructed apart from a multiplicative constant. This constant can then be identified using a single voltage measurement. The methods proposed are direct, non-iterative, and valid and feasible for 3D reconstructions. They can also be used to easily obtain slice and field-of-view images from a 3D object. 2D simulations are made to illustrate the performance of the algorithms.en_US
dc.identifier.doi10.1088/0967-3334/24/2/368en_US
dc.identifier.issn0967-3334
dc.identifier.urihttp://hdl.handle.net/11693/27536
dc.language.isoEnglishen_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1088/0967-3334/24/2/368en_US
dc.source.titlePhysiological Measurementen_US
dc.subjectEITen_US
dc.subjectElectrical impedance tomographyen_US
dc.subjectHyperbolic system of partial differential equationsen_US
dc.subjectImage reconstructionen_US
dc.subjectMagnetic resonance-electrical impedance tomographyen_US
dc.subjectMedical imagingen_US
dc.subjectMethod of characteristicsen_US
dc.subjectMR-EITen_US
dc.subjectAlgorithmen_US
dc.subjectComputer assisted impedance tomographyen_US
dc.subjectDensityen_US
dc.subjectElectric currenten_US
dc.subjectElectric potentialen_US
dc.subjectImage reconstructionen_US
dc.subjectImagingen_US
dc.subjectMathematical analysisen_US
dc.subjectMeasurementen_US
dc.subjectNuclear magnetic resonance imagingen_US
dc.subjectSimulationen_US
dc.subjectAlgorithmsen_US
dc.subjectComputer Simulationen_US
dc.subjectElectric Impedanceen_US
dc.subjectMagnetic resonance spectroscopyen_US
dc.subjectModels, theoreticalen_US
dc.titleUniqueness and reconstruction in magnetic resonance-electrical impedance tomography (MR-EIT)en_US
dc.typeArticleen_US
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