Radon transforms on a class of cones with fixed axis direction
From MaRDI portal
Publication:5705343
DOI10.1088/0305-4470/38/37/006zbMath1086.44002OpenAlexW4298861941MaRDI QIDQ5705343
No author found.
Publication date: 8 November 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f60b6e34e4a968e7b77017e95c0669373e6db9f6
Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)
Related Items (23)
Analytical reconstruction formula for \(n\)-dimensional conical Radon transform ⋮ Three-Dimensional Image Reconstruction from Compton Camera Data ⋮ Some inversion formulas for the cone transform ⋮ Recovering a function from its integrals over conical surfaces through relations with the Radon transform ⋮ Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors ⋮ Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ Three dimensional Compton scattering tomography ⋮ Inversion of weighted divergent beam and cone transforms ⋮ 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 ⋮ An inversion formula for the horizontal conical Radon transform ⋮ Inversion and symmetries of the star 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 ⋮ 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 ⋮ 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
This page was built for publication: Radon transforms on a class of cones with fixed axis direction