In this paper we study a class of broken ray transforms (BRT), which can be implemented
with flat and/or curved detectors. In the case of two detectors we obtain an inversion formula …

The significance of the broken ray transform (BRT) is due to its occurrence in a number of
modalities spanning optical, x-ray, and nuclear imaging. When data are indexed by the …

We define the star transform as a generalization of the broken ray transform introduced by us
in previous work. The advantages of using the star transform include the possibility to …

We reduce boundary determination of an unknown function and its normal derivatives from
the (possibly weighted and attenuated) broken ray data to the injectivity of certain geodesic …

This paper deals with the reconstruction and the redundancy of the two-dimensional
attenuated Radon transform (AtRT). When full measurements are available, we characterize …

Several novel imaging modalities proposed during the last couple of years are based on a
mathematical model, which uses the V-line Radon transform (VRT). This transform …

We demonstrate that there are many direct inversion formulae for the two-dimensional (2D)
Radon transform that are not equivalent to Radon's original inversion formula. Our explicit …

Radar imaging and x-ray computed tomography (CT) are both based on inverting the Radon
transform. Yet radar imaging can make images from as little as two degrees of aperture …

The paper presents an exact formula for a Fourier series reconstruction of a function from its
V-line Radon transform in a disc. This transform (often also called broken-ray Radon …

This article formally defines partial Radon transforms for functions of more than two
dimensions. It shows that a generalized projection-slice theorem exists which connects …