Extension to fat X-rays of uniqueness results for the grid model in discrete tomography

In some circumstances it is preferable, instead of modeling the real world as a continuous space, facing directly the discrete problem. It may happen in the framework of Tomography, where we can employ several tools relying on discrete models: this is Discrete Tomography. In this work we start our investigation from a limit case of the discretization process, namely the grid model, and then show how we can extend our approach to a more general framework. It turns out that, if we employ X-rays in the strip model whose width is under a given threshold, uniqueness of reconstruction, which came from exploiting the line structure of X-rays in the grid model, is still achieved. Moreover, we wrote a program which enumerates all possible sets of four valid directions which ensure uniqueness of reconstruction in a given lattice grid.