On a three-dimensional Compton scattering tomography system with fixed source

DOI10.1088/1361-6420/abf0f0zbMath1461.94004arXiv2006.14192OpenAlexW3037398527MaRDI QIDQ5859748

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Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/2006.14192

zbMATH Keywords

Radon transforms3D Compton tomographyCompton scatter imagingspherical harmonic expansion of 3D discrete functionstoric transform

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Numerical methods for integral equations (65R20) Biomedical imaging and signal processing (92C55) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (5)

Analytical reconstruction formula with efficient implementation for a modality of Compton scattering tomography with translational geometry ⋮ Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography ⋮ On multiple scattering in Compton scattering tomography and its impact on fan-beam CT ⋮ An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations ⋮ Foreword to special issue of Inverse Problems on modern challenges in imaging

Uses Software

• condat_tv

Cites Work

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• The invertibility of rotation invariant Radon transforms
• Computing Fourier transforms and convolutions on the 2-sphere
• A product integration method for a class of singular first kind Volterra equations
• X-ray Compton scattering tomography
• On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
• Radon transforms on generalized Cormack’s curves and a new Compton scatter tomography modality
• Microlocal Analysis of a Compton Tomography Problem
• The Radon Transform on a Family of Curves in the Plane
• The Radon Transform on a Family of Curves in the Plane. II
• On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations
• Three dimensional Compton scattering tomography
• New “improved” Compton scatter tomography modality for investigative imaging of one-sided large objects
• Compton-scattering tomography with one source and one detector: a simple derivation of the filtered-backprojection solution
• Reconstruction algorithm for 3D Compton scattering imaging with incomplete data
• Compton scattering tomography in translational geometries
• Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
• The Radon Transform over Cones with Vertices on the Sphere and Orthogonal Axes

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