Contents V.9, N.1, 2018

  • CONVENIENT PRETOPOLOGIES ON Z2
    J. ňáSLAPAL (pp. 40-51)
  • Abstract

    We deal with pretopologies on the digital plane Z2 convenient for studying and processing digital pictures. We introduce a certain natural graph on the vertex set Z2 whose cycles are eligible for Jordan curves in the digital plane and discuss the pretopologies on Z2 with respect to which these cycles are Jordan curves.

    Keywords

    digital plane, Alexandroff pretopology, Khalimsky topology, connectedness graph, Jordan curve.

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