Quantification of measurement error effects on conductivity reconstruction in electrical impedance tomography
DOI10.1080/17415977.2020.1762595OpenAlexW3028005868MaRDI QIDQ4991543
Jung-il Choi, Xiang Sun, Eunjung Lee
Publication date: 3 June 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2020.1762595
sensitivity analysismeasurement errorelectrical impedance tomographyuncertainty quantificationpolynomial chaos
Bayesian inference (62F15) Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) 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) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Sensitivity analysis for optimization problems on manifolds (49Q12) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Expectation propagation for nonlinear inverse problems -- with an application to electrical impedance tomography
- Application of stochastic Galerkin FEM to the complete electrode model of electrical impedance tomography
- Adaptive sparse polynomial chaos expansion based on least angle regression
- Fine-tuning electrode information in electrical impedance tomography
- Least angle regression. (With discussion)
- Randomize-Then-Optimize for Sampling and Uncertainty Quantification in Electrical Impedance Tomography
- Simultaneous Reconstruction of Outer Boundary Shape and Admittivity Distribution in Electrical Impedance Tomography
- Asymptotic analysis of the membrane structure to sensitivity of frequency-difference electrical impedance tomography
- Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography
- Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
- Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography
- RECONSTRUCTION OF DOMAIN BOUNDARY AND CONDUCTIVITY IN ELECTRICAL IMPEDANCE TOMOGRAPHY USING THE APPROXIMATION ERROR APPROACH
- Stochastic Galerkin Finite Element Method with Local Conductivity Basis for Electrical Impedance Tomography
- The method of fundamental solutions for the inverse conductivity problem
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Electrical Impedance Tomography
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Electrical impedance tomography
- Anomaly depth detection in trans-admittance mammography: a formula independent of anomaly size or admittivity contrast
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data