The conical Radon transform with vertices on triple line segments

DOI10.1088/1361-6420/abae0fzbMath1451.81404arXiv2002.10730OpenAlexW3048729537MaRDI QIDQ5132265

Markus Haltmeier, Sunghwan Moon

Publication date: 10 November 2020

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

Full work available at URL: https://arxiv.org/abs/2002.10730

zbMATH Keywords

reconstruction formulainversionconical Radon transformCompton camera

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Quantum optics (81V80) (2)-body potential quantum scattering theory (81U05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computational issues in computer and robotic vision (65D19)

Related Items (2)

Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$

Cites Work

• A series formula for inversion of the V-line Radon transform in a disc
• Detecting small low emission radiating sources
• Momentum ray transforms
• On solenoidal-injective and injective ray transforms of tensor fields on surfaces
• 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
• 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
• 7. V-line and conical Radon transforms with applications in imaging
• Some inversion formulas for the cone transform
• Compton camera imaging and the cone transform: a brief overview
• Filtered Backprojection Reconstruction and Redundancy in Compton Camera Imaging
• Inversion formulas for cone transforms arising in application of Compton cameras
• 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

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