How sufficient conditions are related for topology-preserving reductions

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...

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Bibliographic Details
Main Author: Palágyi Kálmán
Format: Article
Published: 2018
Series:Acta cybernetica 23 No. 3
Kulcsszavak:Topológia
Subjects:
Online Access:http://acta.bibl.u-szeged.hu/55687
Description
Summary: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.
Physical Description:939-958
ISSN:0324-721X