Several novel imaging applications have lead recently to a variety of Radon type transforms,
where integration is made over a family of conical surfaces. We call them cone transforms (in …

Single photon emission computed tomography (SPECT) is a well-established clinical tool for
functional imaging. A limitation of current SPECT systems is the use of mechanical …

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 …

Recovering a function from its integrals over circular cones recently gained significance
because of its relevance to novel medical imaging technologies such as emission …

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

The paper contains new reconstruction formulas for a function on 3D space from data of its
cone integrals with fixed opening and integrable weight. In the case of cone integrals with …

Here we present a novel microlocal analysis of generalized Radon transforms which
describe the integrals of L^2 functions of compact support over surfaces of revolution of C^∞ …

The paper studies various properties of the V-line transform (VLT) in the plane and the
conical Radon transform (CRT) in. The VLT maps a function to a family of its integrals along …

A Compton camera has been introduced for use in single photon emission computed
tomography to improve the low efficiency of a conventional gamma camera. In general, a …

Since the invention of Compton camera imaging, the conical Radon transform, which maps
a given function defined on 3-dimensional Euclidean space to its surface integrals over …