Comparison of two algorithms for the numerical solution of the two-dimensional vector tomography

DOI10.17377/SEMI.2013.10.009zbMath1330.65208MaRDI QIDQ890980

I. E. Svetov, Anna Petrovna Polyakova

Publication date: 16 November 2015

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

zbMATH Keywords

orthogonal polynomialssingular value decompositionapproximation\(B\)-splinesleast square methodray transformspotential fieldsolenoidal fieldvector tomography

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)

Related Items (5)

Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields ⋮ Numerical solution of the problem of reconstructing a potential vector field in the unit ball from its normal Radon transform ⋮ A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method ⋮ The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

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