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The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields. / Svetov, I. E.; Polyakova, A. P.; Maltseva, S. V.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 1, 01.01.2019, p. 157-167.

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

Harvard

Svetov, IE, Polyakova, AP & Maltseva, SV 2019, 'The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields', Journal of Applied and Industrial Mathematics, vol. 13, no. 1, pp. 157-167. https://doi.org/10.1134/S1990478919010162

APA

Svetov, I. E., Polyakova, A. P., & Maltseva, S. V. (2019). The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields. Journal of Applied and Industrial Mathematics, 13(1), 157-167. https://doi.org/10.1134/S1990478919010162

Vancouver

Svetov IE, Polyakova AP, Maltseva SV. The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields. Journal of Applied and Industrial Mathematics. 2019 Jan 1;13(1):157-167. doi: 10.1134/S1990478919010162

Author

Svetov, I. E. ; Polyakova, A. P. ; Maltseva, S. V. / The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 1. pp. 157-167.

BibTeX

@article{1c73c44f15574b07b41607e8f6341175,
title = "The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields",
abstract = "Two approaches are proposed for recovering a symmetric m-tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.",
keywords = "adjoint operator, method of approximate inverse, potential, Radon transform, ray transform, tensor field, tensor tomography",
author = "Svetov, {I. E.} and Polyakova, {A. P.} and Maltseva, {S. V.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1134/S1990478919010162",
language = "English",
volume = "13",
pages = "157--167",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

AU - Svetov, I. E.

AU - Polyakova, A. P.

AU - Maltseva, S. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Two approaches are proposed for recovering a symmetric m-tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.

AB - Two approaches are proposed for recovering a symmetric m-tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.

KW - adjoint operator

KW - method of approximate inverse

KW - potential

KW - Radon transform

KW - ray transform

KW - tensor field

KW - tensor tomography

UR - http://www.scopus.com/inward/record.url?scp=85064909425&partnerID=8YFLogxK

U2 - 10.1134/S1990478919010162

DO - 10.1134/S1990478919010162

M3 - Article

AN - SCOPUS:85064909425

VL - 13

SP - 157

EP - 167

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 1

ER -

ID: 20039153