Compton camera imaging and the cone transform: a brief overview
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Publication:4569341
DOI10.1088/1361-6420/aab0abzbMath1478.68410OpenAlexW2792800705WikidataQ130204285 ScholiaQ130204285MaRDI QIDQ4569341
Fatma Terzioglu, Leonid A. Kunyansky, Peter A. Kuchment
Publication date: 28 June 2018
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/aab0ab
Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Radon transform (44A12) Machine vision and scene understanding (68T45)
Related Items (19)
The first 100 years of the Radon transform ⋮ Recovering a function from its integrals over conical surfaces through relations with the Radon transform ⋮ Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$ ⋮ Deep learning for 2D passive source detection in presence of complex cargo ⋮ The conical Radon transform with vertices on triple line segments ⋮ Some analytic properties of the cone transform ⋮ The V-line transform with some generalizations and cone differentiation ⋮ An inversion formula for the horizontal conical Radon transform ⋮ Inversion and symmetries of the star transform ⋮ Variational regularization of the weighted conical Radon transform ⋮ Enhancement of Compton camera images reconstructed by inversion of a conical Radon transform ⋮ Inversion formula for the conical Radon transform arising in a single first semicircle second Compton camera with rotation ⋮ 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 ⋮ Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle ⋮ Generalized V-line transforms in 2D vector tomography ⋮ The broken ray transform: additional properties and new inversion formula ⋮ Sampling for the V-line transform with vertex on a circle ⋮ Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography
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