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 …
Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …
We present new joint reconstruction and regularization techniques inspired by ideas in microlocal analysis and lambda tomography, for the simultaneous reconstruction of the …
In this paper, we consider the problem of feature reconstruction from incomplete X-ray CT data. Such incomplete data problems occur when the number of measured X-rays is …
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 …
Here we present a novel microlocal analysis of a new toric section transform which describes a two-dimensional image reconstruction problem in Compton scattering …
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 …
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 …
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 …