Advances in Discrete Tomography and Its Applications is a unified presentation of new
methods, algorithms, and select applications that are the foundations of multidimensional …

Discrete Tomography (DT), differently from GT and CT, focuses on the case where only few
specimen projections are known and the images contain a small number of different colours …

We deal with the question of uniqueness, namely to decide when an unknown finite set of
points in Z 2 is uniquely determined by its X-rays corresponding to a given set S of lattice …

In the reconstruction problem of discrete tomography, projections are considered from a
finite set ${\mathcal {S}} $ of lattice directions. Employing a limited number of projections …

This paper deals with the uniqueness problem for bounded sets in Discrete Tomography,
namely to decide when an unknown finite subset of points in a multidimensional grid is …

Switching components, also named as bad configurations, interchanges, and ghosts
(according to different scenarios), play a key role in the study of ambiguous configurations …

Abstract Gardner and Kiderlen (Adv. Math. 214: 323–343, 2007) presented an algorithm for
reconstructing convex bodies from noisy X-ray measurements with a full proof of …

The faithful reconstruction of an unknown object from projections, ie, from measurements of
its density function along a finite set of discrete directions, is a challenging task. Some …

If an unknown finite set C⊂ Z 2 is cut by lines parallel to given directions, then one may
count the number of points of C that are intercepted by each line, that is, the projections of C …

The reconstruction of an unknown function f from its line sums is the aim of discrete
tomography. However, two main aspects prevent reconstruction from being an easy task. In …