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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 4: Special Issue on Inverse Problems and Applications
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Original Articles

Electrical impedance tomography: 3D reconstructions using scattering transforms

Fabrice Delbary Department of Informatics and Mathematical Modelling, Richard Petersens Plads, Building 321, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
,
Per Christian Hansen Department of Informatics and Mathematical Modelling, Richard Petersens Plads, Building 321, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
&
Kim Knudsen Department of Mathematics, Matematiktorvet, Building 303S, Technical University of Denmark, DK-2800 Kgs. Lyngby, DenmarkCorrespondence[email protected]
Pages 737-755 | Received 08 Apr 2011, Accepted 14 Jun 2011, Published online: 06 Oct 2011

Citations (14)

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Henrik Garde & Kim Knudsen. (2016) Sparsity prior for electrical impedance tomography with partial data. Inverse Problems in Science and Engineering 24:3, pages 524-541.
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Articles from other publishers (13)

S J Hamilton, P A Muller, D Isaacson, V Kolehmainen, J Newell, O Rajabi Shishvan, G Saulnier & J Toivanen. (2022) Fast absolute 3D CGO-based electrical impedance tomography on experimental tank data. Physiological Measurement 43:12, pages 124001.
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Juan A. Barceló, Carlos Castro, Fabricio Macià & Cristóbal J. Meroño. (2022) The Born approximation in the three-dimensional Calderón problem. Journal of Functional Analysis 283:12, pages 109681.
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Kim Knudsen & Aksel Kaastrup Rasmussen. (2022) Direct regularized reconstruction for the three-dimensional Calderón problem. Inverse Problems and Imaging 16:4, pages 871.
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Sarah J. Hamilton, David Isaacson, Ville Kolehmainen, Peter A. Muller, Jussi Toivanen & Patrick F. Bray. (2021) 3D Electrical Impedance Tomography reconstructions from simulated electrode data using direct inversion $ \mathbf{t}^{\rm{{\textbf{exp}}}} $ and Calderón methods. Inverse Problems & Imaging 0:0, pages 0.
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Francis Chung & Leo Tzou. (2020) Partial data inverse problem with 𝐿^{𝑛/2} potentials. Transactions of the American Mathematical Society, Series B 7:4, pages 97-132.
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J L Mueller & S Siltanen. (2020) The D-bar method for electrical impedance tomography—demystified. Inverse Problems 36:9, pages 093001.
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Sarah Jane Hamilton & A. Hauptmann. (2018) Deep D-Bar: Real-Time Electrical Impedance Tomography Imaging With Deep Neural Networks. IEEE Transactions on Medical Imaging 37:10, pages 2367-2377.
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Mahadevan Ganesh & Stuart C. Hawkins. 2018. Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan 351 372 .
L. Harhanen, N. Hyvönen, H. Majander & S. Staboulis. (2015) Edge-Enhancing Reconstruction Algorithm for Three-Dimensional Electrical Impedance Tomography. SIAM Journal on Scientific Computing 37:1, pages B60-B78.
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S J Hamilton, M Lassas & S Siltanen. (2014) A direct reconstruction method for anisotropic electrical impedance tomography. Inverse Problems 30:7, pages 075007.
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Fabrice Delbary & Kim Knudsen. (2014) Numerical nonlinear complex geometrical optics algorithm for the 3D Calderón problem. Inverse Problems & Imaging 8:4, pages 991-1012.
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Sarah Jane Hamilton, Andreas Hauptmann & Samuli Siltanen. (2014) A data-driven edge-preserving D-bar method for electrical impedance tomography. Inverse Problems & Imaging 8:4, pages 1053-1072.
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Zhang Cao & Lijun Xu. (2013) Direct Image Reconstruction for 3-D Electrical Resistance Tomography by Using the Factorization Method and Electrodes on a Single Plane. IEEE Transactions on Instrumentation and Measurement 62:5, pages 999-1007.
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