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) …

Compton scattering tomography: feature reconstruction and rotation-free modality

G Rigaud - SIAM Journal on Imaging Sciences, 2017 - SIAM
Compton scattering tomography (CST) is an emerging two-dimensional imaging concept
exploiting the scattered radiation while a specimen is illuminated by a gamma source. In the …

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 …

A new concept of Compton Scattering tomography and the development of the corresponding circular Radon transform

C Tarpau, J Cebeiro, MA Morvidone… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
A new modality of Compton scattering tomography (CST) is presented. This model is
composed of a fixed source and detectors placed on a fixed ring passing through the source …

A new bi-imaging NDT system for simultaneous recovery of attenuation and electronic density maps

C Tarpau, J Cebeiro, MK Nguyen - 2020 - ri.conicet.gov.ar
Computed Tomography is a widely used imaging technique for non-destructive testing and
evaluation in industry. Tomographic modalities exploit only primary radiation, which is non …

An analytical reconstruction formula with efficient implementation for a modality of Compton Scattering Tomography with translational geometry

C Tarpau, J Cebeiro, G Rollet, MK Nguyen… - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper, we address an alternative formulation for the exact inverse formula of the
Radon transform on circle arcs arising in a modality of Compton Scattering Tomography in …

V-line tensor tomography: numerical results

G Ambartsoumian, RK Mishra, I Zamindar - arXiv preprint arXiv …, 2024 - arxiv.org
This article presents the numerical verification and validation of several inversion algorithms
for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of …

Compton-scattering tomography with one source and one detector: a simple derivation of the filtered-backprojection solution

SJ Norton - Inverse Problems in Science and Engineering, 2020 - Taylor & Francis
Compton-scattering tomography is an imaging technique that exploits the energy
dependence of Compton-scattered radiation. This image reconstruction problem is …

On the inversion of the Radon transform on a generalized Cormack-type class of curves

G Rigaud - Inverse Problems, 2013 - iopscience.iop.org
Abstract In 1981 Cormack studied the Radon transform defined on a family of curves and
showed their inversion through their circular harmonic expansions. In this paper we propose …