On topology preservation of mixed operators in triangular, square, and hexagonal grids

Péter Kardos, Kálmán Palágyi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A crucial issue in digital topology is to ensure topology preservation of binary image operators. Several sufficient conditions have already been proposed (i.e., for operators that never change a white pixel to black one and a black pixel to a white one, respectively), however not much attention has been paid on mixed operators, which can modify both black and white pixels. In this paper, we intend to fill in this gap by presenting some sufficient criteria on the latter family of operators considering all the possible regular partitionings of the plane (i.e., triangular, square, and hexagonal grids).

Original languageEnglish
Pages (from-to)441-448
Number of pages8
JournalDiscrete Applied Mathematics
Volume216
DOIs
Publication statusPublished - Jan 10 2017

Keywords

  • Binary operators
  • Digital topology
  • Regular planar grids
  • Topology preservation

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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