AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA | Sciact - Система учета научной деятельности ИМ СО РАН

AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA Научная публикация

Журнал

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

Вых. Данные

Год: 2022, Том: 10, Номер: 2, Страницы: 42-54 Страниц : 13 DOI: 10.32523/2306-6172-2022-10-2-42-54

Ключевые слова

Gerchberg-papoulis method; Iterative process; Limited data; Ray transform; Simulation; Tensor tomography

Авторы

Maltseva S.V. ¹

Организации

1	Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug avenue, Novosibirsk, 630090, Russian Federation

Информация о финансировании (1)

Российский фонд фундаментальных исследований

19-51-12008

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.

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

Web of science:	WOS:000817150600004
Scopus:	2-s2.0-85133130825
РИНЦ:	49152116
OpenAlex:	W4283690202

БД	Цитирований
РИНЦ	1