Consistency Conditions for Discrete Tomography^*

Issue title: An overview of Tomography and Applications

Guest editors: Paolo Dulio, Andrea Frosini and Grzegorz Rozenberg

Article type: Research Article

Authors: Hajdu, Lajos^a | Tijdeman, Rob^{b; †}

Affiliations: [a] Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary. hajdul@science.unideb.hu | [b] Mathematical Institute, Leiden University, 2300 RA Leiden, P.O. Box 9512, The Netherlands. tijdeman@math.leidenuniv.nl

Correspondence: [†] Address for correspondence: Mathematical Institute, Leiden University, 2300 RA Leiden, P.O. Box 9512, The Netherlands

Note: [*] Research supported in part by the NKFI grants K100339 and K115479.

Abstract: For continuous tomography Helgason and Ludwig developed consistency conditions. They were used by others to overcome defects in the measurements. In this paper we introduce a consistency criterion for discrete tomography. We indicate how the consistency criterion can be used to overcome defects in measurements.

Keywords: Discrete tomography, linear dependencies, global dependencies

DOI: 10.3233/FI-2017-1593

Journal: Fundamenta Informaticae, vol. 155, no. 4, pp. 425-447, 2017