Approximate inversion of operators of two-dimensional vector tomography

DOI10.17377/SEMI.2016.13.048zbMath1422.65465MaRDI QIDQ2402195

Anna Petrovna Polyakova, Svetlana Vasilevna Maltseva, I. E. Svetov

Publication date: 6 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

potentialRadon transformnumerical simulationpotential vector fieldsolenoidal vector fieldvector tomographytransverse ray transformmethod of approximate inverselongitudinal ray transform

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32) Multiple integral transforms (44A30)

Related Items (4)

The method of approximate inverse for the Radon transform operator acting on functions and for the normal Radon transform operators acting on vector and symmetric 2-tensor fields in \(\mathbb R^3\) ⋮ The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields ⋮ The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

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