A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography

DOI10.1515/JIIP.2008.021zbMath1154.35469OpenAlexW1974953427MaRDI QIDQ3529889

No author found.

Publication date: 14 October 2008

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2008.021

zbMATH Keywords

uniquenessreconstruction algorithmmagnetic resonance electrical impedance tomographyorthotropic conductivity

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

• Inverse Problems Light: Numerical Differentiation
• A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions
• Elliptic Equations in Divergence Form, Geometric Critical Points of Solutions, and Stekloff Eigenfunctions
• Uniqueness and convergence of conductivity image reconstruction in magnetic resonance electrical impedance tomography
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• Anisotropic inverse conductivity and scattering problems
• Electrical impedance tomography
• A numerical differentiation method and its application to reconstruction of discontinuity