[图书][B] Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays, Cones, and Stars in Tomography

G Ambartsoumian - 2023 - World Scientific
Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport
Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …

On a cylindrical scanning modality in three-dimensional Compton scatter tomography

JW Webber - arXiv preprint arXiv:2307.03896, 2023 - arxiv.org
We present injectivity and microlocal analyses of a new generalized Radon transform,
$\mathcal {R} $, which has applications to a novel scanner design in three-dimensional …

Imaging based on Compton scattering: model uncertainty and data-driven reconstruction methods

J Gödeke, G Rigaud - Inverse Problems, 2023 - iopscience.iop.org
The recent development of scintillation crystals combined with γ-rays sources opens the way
to an imaging concept based on Compton scattering, namely Compton scattering …

Surface of revolution Radon transforms with centers on generalized surfaces in Rn

J Webber, S Holman, ET Quinto - SIAM Journal on …, 2024 - research.manchester.ac.uk
Surface of revolution Radon transforms with centers on generalized surfaces in Rn Page 1 The
University of Manchester Research Surface of revolution Radon transforms with centers on …

Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography

JW Webber, ET Quinto - Inverse Problems, 2022 - iopscience.iop.org
We present a microlocal analysis of two novel Radon transforms of interest in Compton
scattering tomography, which map compactly supported L 2 functions to their integrals over …

Modeling and reconstruction strategy for Compton scattering tomography with scintillation crystals

L Kuger, G Rigaud - Crystals, 2021 - mdpi.com
The recent development of energy-resolved scintillation crystals opens the way to build
novel imaging concepts based on the variable energy. Among them, Compton scattering …

Surface of revolution Radon transforms with centers on generalized surfaces in

JW Webber, S Holman, ET Quinto - arXiv preprint arXiv:2312.15635, 2023 - arxiv.org
We present a novel analysis of a Radon transform, $ R $, which maps an $ L^ 2$ function of
compact support to its integrals over smooth surfaces of revolution with centers on an …

[PDF][PDF] Foreword to special issue of Inverse Problems on modern challenges in imaging

BN Hahn, ET Quinto, G Rigaud - Inverse Problems, 2023 - par.nsf.gov
This special issue of Inverse Problems honours the achievements of Nobel Laureate Allan
Cormack (1924–1998) whose pioneering work provided mathematical foundations of …

On multiple scattering in Compton scattering tomography and its impact on fan-beam CT

L Kuger, G Rigaud - arXiv preprint arXiv:2008.06699, 2020 - arxiv.org
The recent development of energy-resolving scintillation crystals opens the way to new
types of applications and imaging systems. In the context of computerized tomography (CT) …