A level set method to reconstruct the discontinuity of the conductivity in EIT
From MaRDI portal
Publication:1042845
DOI10.1007/s11425-008-0156-2zbMath1181.35274OpenAlexW2058622924MaRDI QIDQ1042845
Jin Cheng, Wenbin Chen, Junshan Lin, Lifeng Wang
Publication date: 7 December 2009
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-008-0156-2
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items
Level set method for the inverse elliptic problem in nonlinear electromagnetism, Multiscale optimization via enhanced multilevel PCA-based control space reduction for electrical impedance tomography imaging, Numerical identification of multiparameters in the space fractional advection dispersion equation by final observations, Adjoint method for an inverse problem of CCPF model
Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness and local stability for the inverse scattering problem of determining the cavity
- Reconstruction of the shape of object with near field measurements in a half-plane
- 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.
- Level set methods and dynamic implicit surfaces
- Conditional stability in an inverse problem of determining a non-smooth boundary
- Reconstruction of convection coefficients of an elliptic equation in the plane by Dirichlet to Neumann map
- Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
- Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$
- Crack detection using electrostatic measurements
- Optimal approximations by piecewise smooth functions and associated variational problems
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
- Determining conductivity by boundary measurements
- Relaxation of a variational method for impedance computed tomography
- Estimates on resolution and stabilization for the linearized inverse conductivity problem
- An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
- Electrical Impedance Tomography
- Direct Reconstructions of Conductivities from Boundary Measurements
- Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
- An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
- Stability for an inverse boundary problem of determining a part of a boundary
- A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements
- Level set methods for inverse scattering