Abstract
The paper considers ray transforms of the moments of symmetric tensor fields of arbitrary rank given in the unit disk. The basic geometric and differential properties of mixed ray transforms of tensor fields and mixed ray transforms of the moments of tensor fields are established. A simple algorithm for reconstructing a low-rank tensor field from known mixed ray transforms of its moments is proposed and justified.
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Funding
This work was carried out within the framework of the state task for the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project nos. FWNF-2022-0009 and 122041100003-2.
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Translated by V. Potapchouck
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Derevtsov, E.Y. Ray Transforms of the Moments of Planar Tensor Fields. J. Appl. Ind. Math. 17, 521–534 (2023). https://doi.org/10.1134/S1990478923030067
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DOI: https://doi.org/10.1134/S1990478923030067