On the Convergence of the Harmonic $B_z$ Algorithm in Magnetic Resonance Electrical Impedance Tomography

DOI10.1137/060661892zbMath1128.35105OpenAlexW2033024440MaRDI QIDQ5422440

Mourad Sini, Jin-Keun Seo, Jijun Liu, Eung Je Woo

Publication date: 22 October 2007

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060661892

zbMATH Keywords

stabilityconvergenceconductivityimage reconstructionMREITiterative harmonic algorithm

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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On the Laplacian operation with applications in magnetic resonance electrical impedance imaging ⋮ CoReHa 2.0: a software package for in vivo MREIT experiments ⋮ Convergence Analysis of the Harmonic \(\boldsymbol{B_{{z}}}\) Algorithm with Single Injection Current in MREIT ⋮ Reconstruction of biologic tissue conductivity from noisy magnetic field by integral equation method ⋮ Magnetic Resonance Electrical Impedance Tomography (MREIT): Convergence and Reduced Basis Approach ⋮ On the error estimate of the harmonic \(B_z\) algorithm in MREIT from noisy magnetic flux field ⋮ Sparse reconstruction of log-conductivity in current density impedance tomography ⋮ A harmonic -based conductivity reconstruction method in MREIT with influence of non-transversal current density ⋮ Multivariate numerical derivative by solving an inverse heat source problem ⋮ A new method for numerical differentiation based on direct and inverse problems of partial differential equations

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