AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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| Output data | Year: 2022, Volume: 10, Number: 2, Pages: 42-54 Pages count : 13 DOI: 10.32523/2306-6172-2022-10-2-42-54 | ||
| Tags | Gerchberg-papoulis method; Iterative process; Limited data; Ray transform; Simulation; Tensor tomography | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Foundation for Basic Research | 19-51-12008 |
Abstract:
In this paper, we consider problem of recovery of a two-dimensional symmetric 2-tensor field. Data are values of ray transform in domain limited by angles. We apply the iterative Gerchberg-Papoulis algorithm to this problem. Steps of the algorithm are performed in two spaces: the main space of tensor field components and the Fourier space. The actions performed are based on back-projection, direct and inverse Fourier transforms and the use of a priori information. Numerical experiments on recovery of test 2-tensor fields showed good results. © 2022. Eurasian Journal of Mathematical and Computer Applications. All Rights Reserved.
Cite:
Maltseva S.V.
AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N2. P.42-54. DOI: 10.32523/2306-6172-2022-10-2-42-54 WOS Scopus РИНЦ OpenAlex
AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N2. P.42-54. DOI: 10.32523/2306-6172-2022-10-2-42-54 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000817150600004 |
| Scopus: | 2-s2.0-85133130825 |
| Elibrary: | 49152116 |
| OpenAlex: | W4283690202 |
Citing:
| DB | Citing |
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| Elibrary | 1 |