Ray transforms for vector or tensor fields have been studied for a long time, also in
connection with Doppler or polarization tomography. In contrast to the classical Radon …

Tomography is a standard and invaluable technique that covers a large range of length
scales. It gives access to the inner morphology of specimens and to the three-dimensional …

An inverse problem is called dynamic if the object changes during the data acquisition
process. This occurs eg in medical applications when fast moving organs like the lungs or …

The data acquisition in computerized tomography takes a certain amount of time since the x-
ray source has to be rotated around the specimen. An object that changes during the …

Let,, be a family of functions in, and be a reconstruction of from its discrete Radon transform
data. Here is both the data sampling rate and the parameter of the family. We study the …

This work focuses on the identification of the thermal conductivity of potassium geopolymer
foams by experimental and numerical/analytical approaches. The porous foams …

Let $ f (x) $, $ x\in\mathbb R^ 2$, be a piecewise smooth function with a jump discontinuity
across a smooth surface $\mathcal S $. Let $ f_ {\Lambda\epsilon} $ denote the Lambda …

In this article generalized attenuated ray transforms (ART) and integral angular moments are
investigated. Starting from the Radon transform, the attenuated ray transform and the …

The result of tomographic examination is a series of two-dimensional (2D) or three-
dimensional (3D) images, on which a diagnosis is based. Automatic evaluations of these …

We consider a wide class of generalized Radon transforms $\mathcal R $, which act in
$\mathbb {R}^ n $ for any $ n\ge 2$ and integrate over submanifolds of any codimension $ N …