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International Conference on Numerical Computations: Theory and Algorithms

NUMTA 2019: Numerical Computations: Theory and Algorithms pp 446–453Cite as

The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11974))

Abstract

The problem of dynamic 2D vector tomography is considered. Object motion is a combination of rotation and shifting. Properties of the dynamic ray transform operators are investigated. Singular value decomposition of the operators is constructed with usage of classic orthogonal polynomials.

This research was partially supported by RFBR and DFG according to the research project 19-51-12008.

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Author information

Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Anna P. Polyakova & Ivan E. Svetov

  2. University of Wuerzburg, Wuerzburg, Germany

    Bernadette N. Hahn

Authors
  1. Anna P. Polyakova
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  2. Ivan E. Svetov
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  3. Bernadette N. Hahn
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Corresponding author

Correspondence to Anna P. Polyakova .

Editor information

Editors and Affiliations

  1. University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  2. University of Calabria, Rende, Italy

    Dmitri E. Kvasov

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Polyakova, A.P., Svetov, I.E., Hahn, B.N. (2020). The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11974. Springer, Cham. https://doi.org/10.1007/978-3-030-40616-5_42

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  • DOI: https://doi.org/10.1007/978-3-030-40616-5_42

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-40615-8

  • Online ISBN: 978-3-030-40616-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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