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Abstract
This work implements and numerically tests the direct reconstruction algorithm introduced in [Garde & Hyvönen, SIAM J. Math. Anal., 56, 3588-3604, 2024] for two-dimensional linearized electrical impedance tomography. Although the algorithm was originally designed for a linearized setting, we numerically demonstrate its functionality when the input data is the corresponding change in the current-to-voltage boundary operator. Both idealized continuum model and practical complete electrode model measurements are considered in the numerical studies, with the examined domain being either the unit disk or a convex polygon. Special attention is paid to regularizing the algorithm and its connections to the singular value decomposition of a truncated linearized forward map, as well as to the explicit triangular structures originating from the properties of the employed Zernike polynomial basis for the conductivity.
Original language | English |
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Number of pages | 23 |
Journal | Inverse Problems and Imaging |
DOIs | |
Publication status | E-pub ahead of print - Oct 2024 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Electrical impedance tomography
- Zernike polynomials
- Direct reconstruction
- Linearization
- Singular value decomposition
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Dive into the research topics of 'Linearization-based Direct Reconstruction for Eit Using Triangular Zernike Decompositions'. Together they form a unique fingerprint.Projects
- 2 Active
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Huippuyks/Hannukainen 23-25: CoE in Inverse Modelling and Imaging (jatkokausi)
Hannukainen, A. (Principal investigator), Autio, A. (Project Member) & Kohonen, V. (Project Member)
01/01/2023 → 31/12/2025
Project: Academy of Finland: Other research funding
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Huippuyks/Hyvönen 23-25: CoE in Inverse Modelling and Imaging (jatkokausi)
Hyvönen, N. (Principal investigator), Hirvensalo, M. (Project Member), Hirvi, P. (Project Member) & Kohonen, V. (Project Member)
01/01/2023 → 31/12/2025
Project: Academy of Finland: Other research funding