Reconstruction of convex polyominoes with a blocking component

Silvia Maria Carla Pagani, Paolo Dulio, Stefano Brocchi, Silvia M.C. Pagani

Research output: Contribution to journalArticle

Abstract

Several papers in the available literature tackled problems concerning convex polyominoes in discrete tomography. An interesting subclass consists of L-convex polyominoes, since the related reconstruction problem can have only a unique solution. On the other hand, recent studies have modeled an approach to reconstruct objects even in the case that some of the projections are unavailable, due to a particularly dense part of the scanned object, that we refer to as a blocking component. In this work we merge the two problems in order to obtain efficient reconstruction algorithms for convex and L-convex polyominoes, in case a blocking component is included.
Original languageEnglish
Pages (from-to)136-146
Number of pages11
JournalTheoretical Computer Science
Volume624
DOIs
Publication statusPublished - 2016

Keywords

  • L-convex polyominoes
  • blocking component
  • discrete tomography
  • polyominoes
  • reconstruction algorithm

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