The V-line transform with some generalizations and cone differentiation
From MaRDI portal
Publication:4625202
DOI10.1088/1361-6420/aafcf3OpenAlexW2951404038WikidataQ128627969 ScholiaQ128627969MaRDI QIDQ4625202
M. J. Latifi Jebelli, Gaik Ambartsoumian
Publication date: 22 February 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.05113
Related Items (8)
Stability estimate for the broken non-abelian x-ray transform in Minkowski space ⋮ V-line 2-tensor tomography in the plane ⋮ Inversion and symmetries of the star transform ⋮ Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis ⋮ Generalized Radon transforms and applications in tomography ⋮ Generalized V-line transforms in 2D vector tomography ⋮ The broken ray transform: additional properties and new inversion formula ⋮ Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Broken ray transform on a Riemann surface with a convex obstacle
- A series formula for inversion of the V-line Radon transform in a disc
- The broken ray transform on the square
- Inversion of the V-line Radon transform in a disc and its applications in imaging
- Measure theory and probability theory.
- Detecting small low emission radiating sources
- The broken ray transform in \(n\) dimensions with flat reflecting boundary
- Inversion of weighted divergent beam and cone transforms
- Analytical reconstruction formula for \(n\)-dimensional conical Radon transform
- On the Determination of a Function from Its Conical Radon Transform with a Fixed Central Axis
- Broken ray transform: inversion and a range condition
- Inversion of the star transform
- On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
- Inversion formulas for the broken-ray Radon transform
- Three-Dimensional Image Reconstruction from Compton Camera Data
- Analytical inversion of the Compton transform using the full set of available projections
- Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors
- New properties of the V-line Radon transform and their imaging applications
- Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data
- Some inversion formulas for the cone transform
- Rigidity of broken geodesic flow and inverse problems
- Compton camera imaging and the cone transform: a brief overview
- Filtered Backprojection Reconstruction and Redundancy in Compton Camera Imaging
- Reconstruction from cone integral transforms
- Broken ray tomography in the disc
- Inversion of the conical Radon transform with vertices on a surface of revolution arising in an application of a Compton camera
- Inversion formulas for cone transforms arising in application of Compton cameras
- Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
- The Radon Transform over Cones with Vertices on the Sphere and Orthogonal Axes
- 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
This page was built for publication: The V-line transform with some generalizations and cone differentiation