How Sufficient Conditions are Related for Topology-Preserving Reductions | Zendy

Kálmán Palágyi | Zendy

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How Sufficient Conditions are Related for Topology-Preserving Reductions

Author(s) -

Kálmán Palágyi

Publication year - 2018

Publication title -

acta cybernetica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.143

H-Index - 18

eISSN - 2676-993X

pISSN - 0324-721X

DOI - 10.14232/actacyb.23.3.2018.14

Subject(s) - topology (electrical circuits) , digital topology , general topology , square (algebra) , mathematics , hexagonal crystal system , point (geometry) , plane (geometry) , digital geometry , extension topology , binary number , computer science , discrete mathematics , topological space , geometry , combinatorics , digital image , arithmetic , artificial intelligence , image (mathematics) , image processing , chemistry , crystallography

A crucial issue in digital topology is to ensure topology preservation for reductions acting on binary pictures (i.e., operators that never change a white point to black one). Some sufficient conditions for topology-preserving reductions have been proposed for pictures on the three possible regular partitionings of the plane (i.e., the triangular, the square, and the hexagonal grids). In this paper, the relationships among these conditions are stated.

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