On the error estimate of the harmonic \(B_z\) algorithm in MREIT from noisy magnetic flux field

DOI10.1007/s11401-014-0838-8zbMath1298.35249OpenAlexW1972731420MaRDI QIDQ741457

Jijun Liu, Qun Chen

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0838-8

zbMATH Keywords

error estimateimage reconstructionharmonic \(B_z\) algorithmmagnetic resonance electrical impedance tomography

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

• Reconstruction of biologic tissue conductivity from noisy magnetic field by integral equation method
• Mathematical framework for \(B_{z}\)-based MREIT model in electrical impedance imaging
• Electrical Impedance Tomography
• An Introduction to Partial Differential Equations
• On the Laplacian operation with applications in magnetic resonance electrical impedance imaging
• A Posteriori Error Estimate and Convergence Analysis for Conductivity Image Reconstruction in MREIT
• On the Convergence of the Harmonic $B_z$ Algorithm in Magnetic Resonance Electrical Impedance Tomography
• Electrical conductivity imaging using a variational method in B _z -based MREIT

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