Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Weakly differentiable functions
Weakly differentiable functions
A backprojection algorithm for electrical impedance imaging
SIAM Journal on Applied Mathematics
Existence and uniqueness for electrode models for electric current computed tomography
SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics
Electrical Impedance Tomography
SIAM Review
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
SIAM Journal on Scientific Computing
Journal of Computational Physics
On level set regularization for highly ill-posed distributed parameter estimation problems
Journal of Computational Physics
A piecewise constant level set method for elliptic inverse problems
Applied Numerical Mathematics
Journal of Computational Physics
On Level-Set Type Methods for Recovering Piecewise Constant Solutions of Ill-Posed Problems
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
High performance computing for the level-set reconstruction algorithm
Journal of Parallel and Distributed Computing
A multi-phase level set framework for source reconstruction in bioluminescence tomography
Journal of Computational Physics
Level set method for the inverse elliptic problem in nonlinear electromagnetism
Journal of Computational Physics
Sparsity reconstruction in electrical impedance tomography: An experimental evaluation
Journal of Computational and Applied Mathematics
Second-order topological expansion for electrical impedance tomography
Advances in Computational Mathematics
Computational Optimization and Applications
Hi-index | 31.47 |
In this paper, we propose a numerical scheme for the identification of piecewise constant conductivity coefficient for a problem arising from electrical impedance tomography. The key feature of the scheme is the use of level set method for the representation of interface between domains with different values of coefficients. Numerical tests show that our method can recover sharp interfaces and can tolerate a relatively high level of noise in the observation data. Results concerning the effects of number of measurements, noise level in the data as well as the regularization parameters on the accuracy of the scheme are also given.