While most of Radon transform applications to imaging involve integrations over smooth sub-
manifolds of the ambient space, lately important situations have appeared where the …

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 …

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

In this paper, we investigate the relations between the Radon and weighted divergent beam
and cone transforms. Novel inversion formulas are derived for the latter two. The weighted …

Inversion of Radon transforms is the mathematical foundation of many modern tomographic
imaging modalities. In this paper, we study a conical Radon transform, which is important for …

It has been suggested that a Compton camera should be used in single photon emission
computed tomography because a conventional gamma camera has low efficiency. It brings …

In this paper, we address analytically and numerically the inversion of the integral transform
(cone or Compton transform) that maps a function on R^3 to its integrals over conical …

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 …

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 …