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

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

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2024, Volume: 18, Number: 4, Pages: 860-874 Pages count : 15 DOI: 10.1134/s1990478924040197

Funding (1)

Russian Science Foundation

24-21-00200

The algorithms for reconstructing a vector field from its known longitudinal or transverse ray transforms of its moment are proposed and justified. The properties of several algorithms are studied depending on the degree of data discretization, the level and type of noise introduced into the 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 ray transforms.

Svetov I.E. , Derevtsov E.Y. , Maltseva S.V. , Polyakova A.P.
Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms
Journal of Applied and Industrial Mathematics. 2024. V.18. N4. P.860-874. DOI: 10.1134/s1990478924040197 Scopus РИНЦ OpenAlex

Светов И.Е. , Деревцов Е.Ю. , Мальцева С.В. , Полякова А.П.
Численная реконструкция двумерного векторного поля по лучевым преобразованиям его моментов
Сибирский журнал индустриальной математики. 2024. Т.27. №4. С.113–129. DOI: 10.33048/SIBJIM.2024.27.408 РИНЦ

Submitted:	May 7, 2024
Accepted:	Dec 11, 2024
Published print:	Dec 25, 2024
Published online:	Jul 11, 2025

Scopus:	2-s2.0-105010439394
Elibrary:	82621668
OpenAlex:	W4412194778

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