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

Standard

Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms. / Светов, Иван Евгеньевич ; Полякова, Анна Петровна ; Мальцева, Светлана Васильевна.

In: Eurasian Journal of Mathematical and Computer Applications, Vol. 13, No. 2, 8, 2025, p. 90-104.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{c2a38eaa872a4bb4938941b6d8e55ee6,

title = "Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms",

abstract = "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",

keywords = "momentum ray transform, Radon transform, symmetric 2-tensor field, tensor field decomposition, Reconstruction, singular value decomposition method",

author = "Светов, {Иван Евгеньевич} and Полякова, {Анна Петровна} and Мальцева, {Светлана Васильевна}",

note = " The work was financially supported by the Russian Scientific Foundation (RSF), project No. 24-21-00200.",

year = "2025",

doi = "10.32523/2306-6172-2025-13-2-90-104",

language = "English",

volume = "13",

pages = "90--104",

journal = "Eurasian Journal of Mathematical and Computer Applications",

issn = "2306-6172",

publisher = "L. N. Gumilyov Eurasian National University",

number = "2",

}

RIS

TY - JOUR

T1 - Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms

AU - Светов, Иван Евгеньевич

AU - Полякова, Анна Петровна

AU - Мальцева, Светлана Васильевна

N1 - The work was financially supported by the Russian Scientific Foundation (RSF), project No. 24-21-00200.

PY - 2025

Y1 - 2025

N2 - 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

AB - 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

KW - momentum ray transform

KW - Radon transform

KW - symmetric 2-tensor field

KW - tensor field decomposition

KW - Reconstruction

KW - singular value decomposition method

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105016336035&origin=inward

UR - https://www.mendeley.com/catalogue/9da83bce-5bc8-3835-8ec2-435683cd0536/

U2 - 10.32523/2306-6172-2025-13-2-90-104

DO - 10.32523/2306-6172-2025-13-2-90-104

M3 - Article

VL - 13

SP - 90

EP - 104

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

SN - 2306-6172

IS - 2

M1 - 8

ER -

ID: 69786048