Compton scattering tomography in translational geometries

J Webber, EL Miller - Inverse Problems, 2020 - iopscience.iop.org
Here we present new L 2 injectivity results for 2D and 3D Compton scattering tomography
(CST) problems in translational geometries. The results are proven through the explicit …

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

J Cebeiro, C Tarpau, MA Morvidone, D Rubio… - Inverse …, 2021 - iopscience.iop.org
Compton scattering tomography is an emerging scanning technique with attractive
applications in several fields such as non-destructive testing and medical imaging. In this …

Analytic inversion of a Radon transform on double circular arcs with applications in Compton Scattering Tomography

C Tarpau, J Cebeiro, MK Nguyen… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
In this work we introduce a new Radon transform which arises from a new modality of
Compton Scattering Tomography (CST). This new system is made of a single detector …

[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) …

A joint reconstruction and lambda tomography regularization technique for energy-resolved X-ray imaging

JW Webber, ET Quinto, EL Miller - Inverse Problems, 2020 - iopscience.iop.org
We present new joint reconstruction and regularization techniques inspired by ideas in
microlocal analysis and lambda tomography, for the simultaneous reconstruction of the …

3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction

G Rigaud - Inverse Problems, 2021 - iopscience.iop.org
Abstract 3D Compton scattering imaging (CSI) is an upcoming concept exploiting the
scattering of photons induced by the electronic structure of the object under study. The so …

Microlocal analysis of a Compton tomography problem

JW Webber, ET Quinto - SIAM Journal on Imaging Sciences, 2020 - SIAM
Here we present a novel microlocal analysis of a new toric section transform which
describes a two-dimensional image reconstruction problem in Compton scattering …

Reconstruction algorithm for 3D Compton scattering imaging with incomplete data

G Rigaud, BN Hahn - Inverse Problems in Science and …, 2021 - Taylor & Francis
Compton scattering describes the scattering of a photon after its collision with an electron.
The recent developments of spectral cameras, able to collect photons in terms of energy …

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 …

Recovery of singularities for the weighted cone transform appearing in Compton camera imaging

Y Zhang - Inverse Problems, 2020 - iopscience.iop.org
We study the weighted cone transform of distributions with compact support in a domain M
of, over cone surfaces whose vertexes are located on a smooth surface away from M, and …