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

  • Anna P. PolyakovaEmail author
  • Ivan E. Svetov
  • Bernadette N. Hahn
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11974)


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.


Dynamic vector tomography Longitudinal ray transform Transverse ray transform Singular value decomposition Orthogonal polynomial 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.University of WuerzburgWuerzburgGermany

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