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

Silvia Maria Carla Pagani, Paolo Dulio, Stefano Brocchi

Risultato della ricerca: Contributo in libroContributo a convegno

Abstract

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.
Lingua originaleEnglish
Titolo della pubblicazione ospiteRECENT ADVANCES in SYSTEMS
Pagine393-397
Numero di pagine5
Stato di pubblicazionePubblicato - 2015
Evento9th International Conference on Systems (part of CSCC 2015) - Zakynthos
Durata: 16 lug 201520 mag 2016

Convegno

Convegno9th International Conference on Systems (part of CSCC 2015)
CittàZakynthos
Periodo16/7/1520/5/16

Keywords

  • binary tomography
  • computerized tomography
  • discrete tomography
  • lattice grid
  • projection
  • uniqueness of reconstruction

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