Progress in nuclear physics acquired during World War II has naturally led many scientists to
devote their research activities to the field of tomographic imaging techniques using ionizing …

We consider the inversion of the broken-ray Radon transform, a problem that arises in the
context of inverse transport theory in optical tomography. We derive inversion formulas …

We propose a new acquisition geometry for electron density reconstruction in three
dimensional x-ray Compton imaging using a monochromatic source. This leads us to a new …

Purpose: In hybrid medical imaging devices combining positron emission tomography (PET)
with magnetic resonance imaging, PET attenuation correction remains challenging. Known …

Radon transforms on piecewise smooth curves in are rather unfamiliar and have not been
so far widely investigated. In this paper we consider three types of Radon transforms defined …

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 …

This paper reports on new aspects of the so-called V-line Radon transforms (RTs)
complementing those reported in an earlier work. These new properties are nicely …

Reconstruction of a function from data of integrals is the mathematical model for a number of
problems arising in diagnostic techniques. These are x-ray, positron radiography …

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) …