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Inverse Problems in Science and Engineering Volume 24, 2016 - Issue 3
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Articles

Sparsity prior for electrical impedance tomography with partial data

Henrik GardeDepartment of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby, Denmark.Correspondence[email protected]
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Kim KnudsenDepartment of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby, Denmark.View further author information
Pages 524-541 | Received 22 Dec 2014, Accepted 28 Apr 2015, Published online: 26 May 2015

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Jing Wang. (2023) An efficient one-step proximal method for EIT sparse reconstruction based on nonstationary iterated Tikhonov regularization. Applied Mathematics in Science and Engineering 31:1.
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Jing Wang & Bo Han. (2021) Application of a class of iterative algorithms and their accelerations to Jacobian-based linearized EIT image reconstruction. Inverse Problems in Science and Engineering 29:8, pages 1108-1126.
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Jing Wang. (2021) Non-convex ℓ regularization for sparse reconstruction of electrical impedance tomography. Inverse Problems in Science and Engineering 29:7, pages 1032-1053.
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Articles from other publishers (12)

Jing Wang. (2021) A two‐step accelerated Landweber‐type iteration regularization algorithm for sparse reconstruction of electrical impedance tomography. Mathematical Methods in the Applied Sciences.
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Kaiyi Yang, Narong Borijindargoon, Boon Poh Ng, Saiprasad Ravishankar & Bihan Wen. (2021) Learning Sparsifying Transforms for Image Reconstruction in Electrical Impedance Tomography. Learning Sparsifying Transforms for Image Reconstruction in Electrical Impedance Tomography.
Peng Ran, Zhichao Liu, Chen Zeng, Zhangyong Li, Jiewen Deng & Jingwen Wang. (2020) Modeling and imaging of intestinal electrical impedance based on conjugate gradient method. International Journal for Numerical Methods in Biomedical Engineering 36:10.
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Yuri Flores Albuquerque, Antoine Laurain & Kevin Sturm. (2020) A shape optimization approach for electrical impedance tomography with point measurements. Inverse Problems 36:9, pages 095006.
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Chenning Wu, Martin Hutton & Manuchehr Soleimani. (2020) Limited Angle Electrical Resistance Tomography in Wastewater Monitoring. Sensors 20:7, pages 1899.
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Pierre-David Letourneau, Mitchell Tong Harris, Matthew Harper Langston & George Papanicolaou. (2020) Low-Frequency Electromagnetic Imaging Using Sensitivity Functions and Beamforming. SIAM Journal on Imaging Sciences 13:2, pages 807-843.
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Kai Sun, Yanbin Xu, Shangjie Ren & Feng Dong. (2019) A fast hybrid regularization method for Electrical Impedance Tomography based on Elastic-net optimization. A fast hybrid regularization method for Electrical Impedance Tomography based on Elastic-net optimization.
Bastian Harrach, Valter Pohjola & Mikko Salo. (2019) Dimension Bounds in Monotonicity Methods for the Helmholtz Equation. SIAM Journal on Mathematical Analysis 51:4, pages 2995-3019.
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Allan Greenleaf, Matti Lassas, Matteo Santacesaria, Samuli Siltanen & Gunther Uhlmann. (2018) Propagation and recovery of singularities in the inverse conductivity problem. Analysis & PDE 11:8, pages 1901-1943.
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Gerardo González, Ville Kolehmainen & Aku Seppänen. (2017) Isotropic and anisotropic total variation regularization in electrical impedance tomography. Computers & Mathematics with Applications 74:3, pages 564-576.
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Andreas Hauptmann, Matteo Santacesaria & Samuli Siltanen. (2017) Direct inversion from partial-boundary data in electrical impedance tomography. Inverse Problems 33:2, pages 025009.
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Henrik Garde & Kim Knudsen. (2017) Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography. SIAM Journal on Applied Mathematics 77:2, pages 697-720.
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