Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms

DOI10.17377/SEMI.2015.12.037zbMath1344.44003MaRDI QIDQ2630643

I. E. Svetov

Publication date: 28 July 2016

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

zbMATH Keywords

Radon transformharmonic polynomialsinversion formulavector fieldpotential fieldsolenoidal fieldharmonic fieldtransverse ray transformlongitudinal ray transform

Mathematics Subject Classification ID

Radon transform (44A12) Multiple integral transforms (44A30)

Related Items (5)

Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method ⋮ 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 Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields ⋮ Training a classifier by descriptors in the space of the Radon transform

This page was built for publication: Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms