Inversion of the x-ray transform for complexes of lines in ${{\mathbb{R}}}^{n}$

DOI10.1088/0266-5611/32/2/025007zbMath1338.65278OpenAlexW2539853929MaRDI QIDQ2794613

Aleksander Denisiuk

Publication date: 10 March 2016

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

Full work available at URL: https://doi.org/10.1088/0266-5611/32/2/025007

zbMATH Keywords

Radon transformintegral geometrycomplex of linesexplicit inversion formulax-ray transform

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Integral geometry (53C65)

Related Items (2)

On range condition of the tensor x-ray transform in \(\mathbb R^n\) ⋮ Reconstruction in the cone-beam vector tomography with two sources

Cites Work

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• A series formula for inversion of the V-line Radon transform in a disc
• Identities among Euclidean sonar and Radon transforms
• Complexes of straight lines in the space \(C^ n\)
• The local structure of hyperbolic complexes of curves
• Mathematics of thermoacoustic tomography
• Cone Beam Reconstruction with Sources on a Curve
• Support Theorems for Radon Transforms on Real Analytic Line Complexes in Three-Space

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