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 …

The paper discusses numerical implementations of various inversion schemes for
generalized V-line transforms on vector fields introduced in [G. Ambartsoumian, MJ Latifi …

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 …

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 …

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 …

Recovering a function from its integrals over conical surfaces through relations with the Radon
transform - IOPscience This site uses cookies. By continuing to use this site you agree to our …

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 …