Numerical solvers based on the method of approximate inverse for 2D vector and 2-tensor tomography problems

DOI10.1088/1361-6420/AA8F5AzbMath1381.65100OpenAlexW2757497079MaRDI QIDQ4601407

E. Yu. Derevtsov, Alfred K. Louis, I. E. Svetov, Svetlana Vasilevna Maltseva, Anna Petrovna Polyakova

Publication date: 16 January 2018

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/aa8f5a

zbMATH Keywords

numerical exampleinverse problemRadon transformray transformtensor tomographymethod of approximate inverse

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

Related Items (9)

The first 100 years of the Radon transform ⋮ Inversion formulae for ray transforms in vector and tensor tomography ⋮ Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric 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 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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