Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors

DOI10.1137/15M1033617zbMath1346.44001OpenAlexW2328806788MaRDI QIDQ3188196

Sunghwan Moon, Chang-Yeol Jung

Publication date: 17 August 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1033617

zbMATH Keywords

algorithmRadon transformnumerical examplesinversion formulasingle photon emission computed tomographyCompton cameracone transformgamma camera

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (18)

Nonreciprocal broken ray transforms with applications to fluorescence imaging ⋮ Three-Dimensional Image Reconstruction from Compton Camera Data ⋮ Recovering a function from its integrals over conical surfaces through relations with the Radon transform ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ Inversion of weighted divergent beam and cone transforms ⋮ Solution of a certain problem of scattering by using of the maximum entropy principle ⋮ 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 ⋮ Some analytic properties of the cone transform ⋮ The V-line transform with some generalizations and cone differentiation ⋮ 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 ⋮ 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 ⋮ Unnamed Item ⋮ Sampling for the V-line transform with vertex on a circle ⋮ Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder

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