A Posteriori Error Estimate and Convergence Analysis for Conductivity Image Reconstruction in MREIT

DOI10.1137/090781292zbMath1210.35290OpenAlexW2000516077MaRDI QIDQ5392342

Jijun Liu, Jin-Keun Seo, Eung Je Woo

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1137/090781292

zbMATH Keywords

error estimateimage reconstructionHelmholtz decompositionrelative contrastmagnetic resonance electrical impedance tomography (MREIT)

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) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (7)

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

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