On the Determination of a Function from Its Conical Radon Transform with a Fixed Central Axis
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Publication:2811883
DOI10.1137/15M1021945zbMath1381.44009arXiv1503.07616MaRDI QIDQ2811883
Publication date: 8 June 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.07616
Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)
Related Items (13)
Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors ⋮ The Radon Transform over Cones with Vertices on the Sphere and Orthogonal Axes ⋮ Reconstruction from cone integral transforms ⋮ The conical Radon transform with vertices on triple line segments ⋮ The V-line transform with some generalizations and cone differentiation ⋮ Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis ⋮ Recovery of singularities for the weighted cone transform appearing in Compton camera imaging ⋮ Artifacts in the inversion of the broken ray transform in the plane ⋮ Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle ⋮ Unnamed Item ⋮ Sampling for the V-line transform with vertex on a circle ⋮ Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography ⋮ Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
Cites Work
- Unnamed Item
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- 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
- On the Determination of a Function from Spherical Averages
- Inversion formulas for cone transforms arising in application of Compton cameras
- Characterization and reduction of artifacts in limited angle tomography
- 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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