On J-additivity and bounded additivity

Carla Peri, Sara Brunetti

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

2 Citazioni (Scopus)

Abstract

In this paper we consider the uniqueness issues in Discrete Tomography. A special class of geometric objects, widely considered in the literature, is represented by additive sets. These sets are uniquely determined by their X-rays, and they are also reconstructible in polynomial time by use of linear programming. Recently, additivity has been extended to J-additivity to provide a more general treatment of known concepts and results. A further generalization of additivity, called bounded additivity is obtained by restricting to sets contained in a given orthogonal box. In this work, we investigate these two generalizations from a geometrical point of view and analyze the interplay between them.
Lingua originaleEnglish
pagine (da-a)185-195
Numero di pagine11
RivistaFundamenta Informaticae
Volume2016 /146
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • Additive set
  • X-ray
  • uniqueness problem
  • weakly bad configuration

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