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Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms Научная публикация

Журнал

Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822

Вых. Данные

Год: 2025, Том: 13, Номер: 2, Страницы: 90-104 Страниц : 15 DOI: 10.32523/2306-6172-2025-13-2-90-104

Ключевые слова

momentum ray transform, Radon transform, symmetric 2-tensor field, tensor field decomposition, reconstruction, singular value decomposition method

Авторы

Svetov I.E. ^1,2 , Polyakova A.P. ^1,2 , Maltseva S.V. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

Информация о финансировании (1)

Российский научный фонд

24-21-00200

Algorithms for reconstructing a two-dimensional symmetric 2-tensor field from the known longitudinal or transverse ray transforms of its moments are proposed and justified. The algorithms are based on the method of singular value decomposition. We use the known singular value decompositions of the Radon transform of functions and the ray transforms of 2-tensor fields. Numerical simulations demonstrate reliable results of reconstructing symmetric 2-tensor fields from values of the momentum ray transforms.

Svetov I.E. , Polyakova A.P. , Maltseva S.V.
Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N2. P.90-104. DOI: 10.32523/2306-6172-2025-13-2-90-104 WOS OpenAlex

Поступила в редакцию:	10 авг. 2024 г.
Принята к публикации:	15 янв. 2025 г.
Опубликована в печати:	30 июн. 2025 г.
Опубликована online:	30 июн. 2025 г.

Web of science:	WOS:001523328800008
OpenAlex:	W4412368277

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