New “improved” Compton scatter tomography modality for investigative imaging of one-sided large objects

DOI10.1080/17415977.2017.1281920zbMath1387.92055OpenAlexW2586147251MaRDI QIDQ4638151

A. Noumowé, M. A. Morvidone, Mai K. Nguyen, Javier Cebeiro

Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1281920

zbMATH Keywords

Radon transformsCompton scatteringgamma-ray imaging\(V\)-line Radon transformRadon transform on a pair of supplementary circular arcs

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (3)

Analytical reconstruction formula with efficient implementation for a modality of Compton scattering tomography with translational geometry ⋮ Tomographic inverse problems: mathematical challenges and novel applications. Abstracts from the workshop held April 30 -- May 5, 2023 ⋮ On a three-dimensional Compton scattering tomography system with fixed source

Cites Work

• A series formula for inversion of the V-line Radon transform in a disc
• An inversion formula for the attenuated \(X\)-ray transformation
• Broken ray transform: inversion and a range condition
• Inversion of the star transform
• On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
• Inversion formulas for the broken-ray Radon transform
• New properties of the V-line Radon transform and their imaging applications
• Broken ray tomography in the disc
• Representation of a Function by Its Line Integrals, with Some Radiological Applications

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