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 …

We study a new class of Radon transforms defined on circular cones called the conical
Radon transform. In $\mathbb {R}^ 3$ it maps a function to its surface integrals over circular …

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 …

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 …

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 …

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 …

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 …