Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Reconstruction of 2D symmetric 2-tensor field by momentum ray transforms. / Светов, Иван Евгеньевич; Полякова, Анна Петровна; Мальцева, Светлана Васильевна.
в: Eurasian Journal of Mathematical and Computer Applications, Том 13, № 2, 8, 2025, стр. 90-104.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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