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

doi:10.1134/S1990478919010162

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 journal › Article

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 language	English
Pages (from-to)	157-167
Number of pages	11
Journal	Journal of Applied and Industrial Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1134/S1990478919010162
Publication status	Published - 1 Jan 2019

Keywords

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

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10.1134/S1990478919010162

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Svetov, I. E., Polyakova, A. P., & Maltseva, S. V. (2019). The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields. Journal of Applied and Industrial Mathematics, 13(1), 157-167. https://doi.org/10.1134/S1990478919010162

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