Analytical reconstruction formula for \(n\)-dimensional conical Radon transform

DOI10.1016/j.camwa.2014.04.019zbMath1362.53084OpenAlexW2072450612MaRDI QIDQ2627232

Rim Gouia-Zarrad

Publication date: 31 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.04.019

zbMATH Keywords

Radon transforminversion formulaintegral geometrybroken-rayV-line transformconical projections

Mathematics Subject Classification ID

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

Related Items (11)

Analytical reconstruction formula for \(n\)-dimensional conical Radon transform ⋮ Some inversion formulas for the cone transform ⋮ Recovering a function from its integrals over conical surfaces through relations with the Radon transform ⋮ Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors ⋮ Reconstruction from cone integral transforms ⋮ V-line 2-tensor tomography in the plane ⋮ The conical Radon transform with vertices on triple line segments ⋮ The V-line transform with some generalizations and cone differentiation ⋮ An inversion formula for the horizontal conical Radon transform ⋮ On the Determination of a Function from Its Conical Radon Transform with a Fixed Central Axis ⋮ Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle

Cites Work

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• A series formula for inversion of the V-line Radon transform in a disc
• Inversion of the V-line Radon transform in a disc and its applications in imaging
• Multidimensional inverse problems for differential equations
• Analytical reconstruction formula for \(n\)-dimensional conical Radon transform
• Broken ray transform: inversion and a range condition
• Inversion of the circular Radon transform on an annulus
• On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
• Inversion formulas for the broken-ray Radon transform
• Reconstruction of a reflectivity field from line integrals over circular paths
• Mathematics of thermoacoustic tomography
• Broken ray tomography in the disc
• Exact reconstruction formulas for a Radon transform over cones
• Exact inversion of the conical Radon transform with a fixed opening angle
• Radon transforms on a class of cones with fixed axis direction

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