A harmonic -based conductivity reconstruction method in MREIT with influence of non-transversal current density

DOI10.1080/17415977.2017.1352587zbMath1409.65086OpenAlexW2739001095MaRDI QIDQ3121997

Kiwan Jeon, Chang-Ock Lee, Eung Je Woo

Publication date: 20 March 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1352587

zbMATH Keywords

MREIT\(B_z\)-based algorithmconductivity and current density reconstructionnon-transversal current densityphantom experiment

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Biomedical imaging and signal processing (92C55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (3)

Convergence Analysis of the Harmonic \(\boldsymbol{B_{{z}}}\) Algorithm with Single Injection Current in MREIT ⋮ Current distribution reconstruction in switching arcs by means of regularization based on GSVD ⋮ Non-contact detection of single-cell lead-acid battery electrodes’ defects through conductivity reconstruction by magnetic induction tomography

Uses Software

• TetGen
• ViennaCL

Cites Work

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• Magnetic Resonance Electrical Impedance Tomography (MREIT)
• Equipotential line method for magnetic resonance electrical impedance tomography
• Non-iterative harmonic B _z algorithm in MREIT
• On the validity of Friedrichs' inequalities.
• Recovering the conductivity from a single measurement of interior data
• Electrical Impedance Tomography
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
• On the Convergence of the Harmonic $B_z$ Algorithm in Magnetic Resonance Electrical Impedance Tomography
• Conductivity imaging with a single measurement of boundary and interior data
• \(L^2\) well-posedness of planar div-curl systems

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