The Factorization Method Applied to the Complete Electrode Model of Impedance Tomography

DOI10.1137/070683295zbMath1146.35096OpenAlexW2083126911MaRDI QIDQ3520287

Armin Lechleiter, Harri Hakula, Nuutti Hyvönen

Publication date: 18 August 2008

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

Full work available at URL: https://doi.org/10.1137/070683295

zbMATH Keywords

perturbation theoryfactorization methodfinite-dimensional approximationboundary elementscomplete electrode modelimpedance tomography

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items

Propagation and recovery of singularities in the inverse conductivity problem ⋮ Interpolation of missing electrode data in electrical impedance tomography ⋮ Nonlinear Fourier analysis for discontinuous conductivities: computational results ⋮ Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations ⋮ Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography ⋮ Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers ⋮ Detecting stochastic inclusions in electrical impedance tomography ⋮ Immersed boundary method for the complete electrode model in electrical impedance tomography ⋮ On the \(hp\)-adaptive solution of complete electrode model forward problems of electrical impedance tomography ⋮ Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes ⋮ A New Method for the Data Completion Problem and Application to Obstacle Detection ⋮ The regularized monotonicity method: detecting irregular indefinite inclusions ⋮ The factorization method for cracks in electrical impedance tomography ⋮ Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Recent progress on the factorization method for electrical impedance tomography ⋮ Sampling Methods ⋮ Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity ⋮ On computation of test dipoles for factorization method ⋮ JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY ⋮ APPROXIMATING IDEALIZED BOUNDARY DATA OF ELECTRIC IMPEDANCE TOMOGRAPHY BY ELECTRODE MEASUREMENTS

Uses Software

• Schwarz-Christoffel
• SC Toolbox