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

I. E. Svetov, A. P. Polyakova, S. V. Maltseva

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)157-167
Number of pages11
JournalJournal of Applied and Industrial Mathematics
Volume13
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • adjoint operator
  • method of approximate inverse
  • potential
  • Radon transform
  • ray transform
  • tensor field
  • tensor tomography

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