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Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization
Bangti Jin, Yifeng Xu, Jingrong Yang and Kai Zhang Communications in Nonlinear Science and Numerical Simulation 137 108166 (2024) https://doi.org/10.1016/j.cnsns.2024.108166
A high order discontinuous Galerkin method for the recovery of the conductivity in Electrical Impedance Tomography
Improved Electrical Impedance Tomography Reconstruction via a Bayesian Approach With an Anatomical Statistical Shape Model
Mitchell I. Page, Ruanui Nicholson, Merryn H. Tawhai, Alys R. Clark and Haribalan Kumar IEEE Transactions on Biomedical Engineering 70(8) 2486 (2023) https://doi.org/10.1109/TBME.2023.3250650
Mumford–Shah regularization in electrical impedance tomography with complete electrode model
FPGA Acceleration for 3-D Low-Dose Tomographic Reconstruction
Wentai Zhang, Linjun Qiao, William Hsu, et al. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 40(4) 666 (2021) https://doi.org/10.1109/TCAD.2020.3006183
The inverse conductivity problem via the calculus of functions of bounded variation
Antonios Charalambopoulos, Vanessa Markaki and Drosos Kourounis Mathematical Methods in the Applied Sciences 43(8) 5032 (2020) https://doi.org/10.1002/mma.6251
An Algorithm for Second Order Mumford--Shah Models Based on a Taylor Jet Formulation
Fast Segmentation From Blurred Data in 3D Fluorescence Microscopy
Martin Storath, Dennis Rickert, Michael Unser and Andreas Weinmann IEEE Transactions on Image Processing 26(10) 4856 (2017) https://doi.org/10.1109/TIP.2017.2716843
Edge Preserving and Noise Reducing Reconstruction for Magnetic Particle Imaging
The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography
Giovanni S. Alberti, Habib Ammari, Bangti Jin, Jin-Keun Seo and Wenlong Zhang SIAM Journal on Imaging Sciences 9(4) 1525 (2016) https://doi.org/10.1137/16M1061564
A Hybrid Segmentation and D-Bar Method for Electrical Impedance Tomography
S. J. Hamilton, J. M. Reyes, S. Siltanen and X. Zhang SIAM Journal on Imaging Sciences 9(2) 770 (2016) https://doi.org/10.1137/15M1025992
An accelerated version of alternating direction method of multipliers for TV minimization in EIT
Ashkan Javaherian, Manuchehr Soleimani, Knut Moeller, Amir Movafeghi and Reza Faghihi Applied Mathematical Modelling 40(21-22) 8985 (2016) https://doi.org/10.1016/j.apm.2016.05.052
Sparsity Regularization of the Diffusion Coefficient Identification Problem: Well-Posedness and Convergence Rates
Extraction of Quantifiable Information from Complex Systems
Rudolf Ressel, Patrick Dülk, Stephan Dahlke, Kamil S. Kazimierski and Peter Maass Lecture Notes in Computational Science and Engineering, Extraction of Quantifiable Information from Complex Systems 102 53 (2014) https://doi.org/10.1007/978-3-319-08159-5_3
A direct sampling method for electrical impedance tomography
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization
Bangti Jin, Taufiquar Khan and Peter Maass International Journal for Numerical Methods in Engineering 89(3) 337 (2012) https://doi.org/10.1002/nme.3247
Sparsity regularization for parameter identification problems
Nonstationary phase boundary estimation in electrical impedance tomography using unscented Kalman filter
Umer Zeeshan Ijaz, Anil Kumar Khambampati, Jeong Seong Lee, Sin Kim and Kyung Youn Kim Journal of Computational Physics 227(15) 7089 (2008) https://doi.org/10.1016/j.jcp.2007.12.025
On the regularization of the inverse conductivity problem with discontinuous conductivities
Three-dimensional reconstruction of shape and piecewise constant region values for optical tomography using spherical harmonic parametrization and a boundary element method
Athanasios D Zacharopoulos, Simon R Arridge, Oliver Dorn, Ville Kolehmainen and Jan Sikora Inverse Problems 22(5) 1509 (2006) https://doi.org/10.1088/0266-5611/22/5/001
A FEM‐BEM approach using level‐sets in electrical capacitance tomography
Bernhard Kortschak and Bernhard Brandstätter COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 24(2) 591 (2005) https://doi.org/10.1108/03321640510586204
History matching problem in reservoir engineering using the propagation–backpropagation method
Leah Bar, Nir Sochen and Nahum Kiryati Lecture Notes in Computer Science, Scale Space and PDE Methods in Computer Vision 3459 107 (2005) https://doi.org/10.1007/11408031_10