Electrical impedance tomography using level set representation and total variational regularization
DOI10.1016/j.jcp.2004.11.022zbMath1072.65143OpenAlexW2022920697WikidataQ57397341 ScholiaQ57397341MaRDI QIDQ1780686
Tony F. Chan, Eric T. Chung, Xue-Cheng Tai
Publication date: 13 June 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2004.11.022
inverse problemregularizationnumerical exampleslevel set methodelectrical impedance tomographycoefficient identification
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 (58)
Cites Work
- Unnamed Item
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
- A framework for the construction of level set methods for shape optimization and reconstruction
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Change of variables for absolutely continuous functions
- Explicit Characterization of Inclusions in Electrical Impedance Tomography
- Level-set function approach to an inverse interface problem
- A level set method for inverse problems
- A Backprojection Algorithm for Electrical Impedance Imaging
- Conformal uniqueness results in anisotropic electrical impedance imaging
- Level set methods for geometric inverse problems in linear elasticity
- Stability and resolution analysis of a linearized problem in electrical impedance tomography
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Electrical Impedance Tomography
- An image-enhancement technique for electrical impedance tomography
- Resolution and Stability Analysis of an Inverse Problem in Electrical Impedance Tomography: Dependence on the Input Current Patterns
- Enhanced Electrical Impedance Tomographyviathe Mumford–Shah Functional
- Boundary shape and electrical impedance tomography
- Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
- Levenberg–Marquardt level set methods for inverse obstacle problems
- An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
- Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
- Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
- A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
- Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
- Electrical resistance tomography: complementarity and quadratic models
- Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data
- A new non-iterative inversion method for electrical resistance tomography
- A variant of the level set method and applications to image segmentation
- Level set methods: An overview and some recent results
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
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