Series reversion for electrical impedance tomography with modeling errors *
DOI10.1088/1361-6420/acdab8zbMath1527.65118arXiv2209.05543OpenAlexW4378966148MaRDI QIDQ6166001
Henrik Garde, Nuutti Hyvönen, Topi Kuutela
Publication date: 6 July 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.05543
electrical impedance tomographyseries reversionBayesian inversionLevenberg-Marquardt algorithmmismodelingsmoothened complete electrode model
Bayesian inference (62F15) Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50)
Cites Work
- Unnamed Item
- Fine-tuning electrode information in electrical impedance tomography
- Generalized linearization techniques in electrical impedance tomography
- Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography
- Newton regularizations for impedance tomography: convergence by local injectivity
- Electrical impedance tomography and Calderón's problem
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Formulae for high derivatives of composite functions
- Electrical Impedance Tomography
- Electrical impedance tomography with basis constraints
- Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
- Smoothened Complete Electrode Model
- Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
- Electrical impedance tomography
- Contact Adapting Electrode Model for Electrical Impedance Tomography
- Series reversion in Calderón’s problem
- Calderón's inverse problem with a finite number of measurements II: independent data
- On Regularity of the Logarithmic Forward Map of Electrical Impedance Tomography
- CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS
- Computational Framework for Applying Electrical Impedance Tomography to Head Imaging
- Inverse Born series for the Calderon problem
- Analytic Functions in Banach Spaces
