Acta Math. Acad. Paed. Nyíregyháziensis
15 (1999), 55-60
www.bgytf.hu/~amapn

Lattice of distances based on 3D-neighbourhood sequences

Attila Fazekas

 

Abstract:

In this paper we give a natural ordering relation between distances based on 3D-neighbourhood sequences. We prove that this ordering induces a complete compact distributive lattice over the set of 3D-neighbourhood sequences.

 

Mathematics Subject Classification. 68U10.

Key words and phrases. Digital geometry, octagonal distance.


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