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

DOI10.1088/0266-5611/20/3/012zbMath1086.35141OpenAlexW2022232648MaRDI QIDQ3158743

June-Yub Lee

Publication date: 31 January 2005

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a1e3f6f46a9017bd94c64076b7dc9c2e662d4453

zbMATH Keywords

conductivityuniquenessnumerical examplesmagnetic resonance electrical impedance tomographynon-iterative reconstruction methodinternal current

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Motion of charged particles (78A35)

Related Items (7)

Well-posedness of the conductivity reconstruction from an interior current density in terms of Schauder theory ⋮ A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography ⋮ A regularized weighted least gradient problem for conductivity imaging ⋮ Stability in conductivity imaging from partial measurements of one interior current ⋮ A Weighted Minimum Gradient Problem with Complete Electrode Model Boundary Conditions for Conductivity Imaging ⋮ Numerical conductivity reconstruction from partial interior current density information in three dimensions ⋮ Sparse reconstruction of log-conductivity in current density impedance tomography

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