This book is an outgrowth of my involvement in two groups of research in solid mechanics,
created in 1960 for the French nuclear energy program. At this time, it was decided that …

Imaging processes built on the Compton scattering effect have been under continuing
investigation since it was first suggested in the 50s. However, despite many innovative …

A new circular-arc Radon transform arising from the mathematical modeling of image
formation in a new modality of Compton scattering tomography is introduced. We describe …

Integral transforms which map functions on onto their integrals on circular cones having
fixed axis direction and variable opening angle are introduced and studied as …

Radon transforms defined on smooth curves are well known and extensively studied in the
literature. In this paper, we consider a Radon transform defined on a discontinuous curve …

A Compton camera has been suggested for use in single photon emission computed
tomography because a conventional gamma camera has low efficiency. Here we consider a …

The mathematical principles of tomographic imaging using detected (unscattered) X‐or
gamma‐rays are based on the two‐dimensional Radon transform and many of its variants …

Over the past decade, a Radon-type transform called a conical Radon transform, which
assigns to a given function its integral over various sets of cones, has arisen in the context of …

Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport
Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …

In an effort to deal with many ionizing radiation imaging mechanisms involving the Compton
effect, we study a Radon transform on circular cone surfaces having a fixed axis direction …