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 …
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 …
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 …
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 …
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 …
This special issue of Inverse Problems honours the achievements of Nobel Laureate Allan Cormack (1924–1998) whose pioneering work provided mathematical foundations of …
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) …