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Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms. / Svetov, I. E.; Derevtsov, E. Yu; Maltseva, S. V. и др.

в: Journal of Applied and Industrial Mathematics, Том 18, № 4, 19, 12.2024, стр. 860-874.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Svetov, IE, Derevtsov, EY, Maltseva, SV & Polyakova, AP 2024, 'Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms', Journal of Applied and Industrial Mathematics, Том. 18, № 4, 19, стр. 860-874. https://doi.org/10.1134/S1990478924040197

APA

Svetov, I. E., Derevtsov, E. Y., Maltseva, S. V., & Polyakova, A. P. (2024). Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms. Journal of Applied and Industrial Mathematics, 18(4), 860-874. [19]. https://doi.org/10.1134/S1990478924040197

Vancouver

Svetov IE, Derevtsov EY, Maltseva SV, Polyakova AP. Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms. Journal of Applied and Industrial Mathematics. 2024 дек.;18(4):860-874. 19. doi: 10.1134/S1990478924040197

Author

Svetov, I. E. ; Derevtsov, E. Yu ; Maltseva, S. V. и др. / Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms. в: Journal of Applied and Industrial Mathematics. 2024 ; Том 18, № 4. стр. 860-874.

BibTeX

@article{29132bb3b180474cb67486096207ee66,
title = "Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms",
abstract = "The algorithms for reconstructing a vector field from its known longitudinal or transverseray transforms of its moment are proposed and justified. The properties of several algorithms arestudied depending on the degree of data discretization, the level and type of noise introduced intothe data, the smoothness of the vector field, and the degree of connectivity of its support.Numerical simulations show good results of reconstructing vector fields from their momentum raytransforms.",
keywords = "approximation, differential property of ray transforms, momentum ray transform, numerical simulation, reconstruction algorithm, vector field",
author = "Svetov, {I. E.} and Derevtsov, {E. Yu} and Maltseva, {S. V.} and Polyakova, {A. P.}",
note = "This work was supported by the Russian Science Foundation, project no. 24-21-00200.",
year = "2024",
month = dec,
doi = "10.1134/S1990478924040197",
language = "English",
volume = "18",
pages = "860--874",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms

AU - Svetov, I. E.

AU - Derevtsov, E. Yu

AU - Maltseva, S. V.

AU - Polyakova, A. P.

N1 - This work was supported by the Russian Science Foundation, project no. 24-21-00200.

PY - 2024/12

Y1 - 2024/12

N2 - The algorithms for reconstructing a vector field from its known longitudinal or transverseray transforms of its moment are proposed and justified. The properties of several algorithms arestudied depending on the degree of data discretization, the level and type of noise introduced intothe data, the smoothness of the vector field, and the degree of connectivity of its support.Numerical simulations show good results of reconstructing vector fields from their momentum raytransforms.

AB - The algorithms for reconstructing a vector field from its known longitudinal or transverseray transforms of its moment are proposed and justified. The properties of several algorithms arestudied depending on the degree of data discretization, the level and type of noise introduced intothe data, the smoothness of the vector field, and the degree of connectivity of its support.Numerical simulations show good results of reconstructing vector fields from their momentum raytransforms.

KW - approximation

KW - differential property of ray transforms

KW - momentum ray transform

KW - numerical simulation

KW - reconstruction algorithm

KW - vector field

UR - https://www.scopus.com/pages/publications/105010439394

UR - https://www.elibrary.ru/item.asp?id=82621668

UR - https://www.elibrary.ru/item.asp?id=82608394

UR - https://www.mendeley.com/catalogue/88e1b27d-7a4d-379d-ac16-904decbd9a96/

U2 - 10.1134/S1990478924040197

DO - 10.1134/S1990478924040197

M3 - Article

VL - 18

SP - 860

EP - 874

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

M1 - 19

ER -

ID: 68667979