On the angular moment operators of attenuated ray transforms of scalar 3D-fields

DOI10.33048/SIBJIM.2020.23.204zbMath1504.65192OpenAlexW3113015740MaRDI QIDQ5055536

E. Yu. Derevtsov

Publication date: 9 December 2022

Published in: Sibirskii zhurnal industrial'noi matematiki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjim1087

zbMATH Keywords

transport equationattenuated ray transformtensor fieldback projectionoperator of angular moment

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Radon transform (44A12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Cites Work

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• Integral geometry for tensor fields. Transl. from the Russian
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• Efficient algorithms for the regularization of dynamic inverse problems: II. Applications
• Inverting the Attenuated Vectorial Radon Transform
• On a problem of reconstruction of discontinuities of a function by its attenuated ray transform along geodesics
• Determination of Discontinuities of a Function in a Domain with Refraction from Its Attenuated Ray Transform
• Inversion of the scalar and vector attenuated X-ray transforms in a unit disc

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