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 …

Reconstructing a discrete object by means of X-rays along a finite set U of (discrete)
directions represents one of the main task in discrete tomography. Indeed, it is an ill-posed …

Featured Application The most commonly used methods for line detection in images are the
Radon and Hough transforms. For a line to be detected, many pixels of the image must be …

In the usual aim of discrete tomography, the reconstruction of an unknown discrete set is
considered, by means of projection data collected along a set U of discrete directions …

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 …

Discrete tomography deals with the reconstruction of images from a (usually small) set of X-
ray projections. This is achieved by modeling the tomographic problem as a linear system of …

Whenever measurements of a physical system are made, the quantization implicit in all
detection processes forces us to consider a discretisation of the problem. Hence it is …

This thesis covers four topics within the wide area of Discrete Mathematics: for each of them,
we investigate a different open problem and contribute to its solution. Even if they could …

Discrete tomography focuses on the reconstruction of functions from their line sums in a
finite number d of directions. In this paper we consider functions f: A→ R where A is a finite …

We correct an error occurred in Lemma 10, and a couple of typos in the following paper P.
Dulio, SMC Pagani A rounding theorem for unique binary tomographic reconstruction …