Digital Khalimsky Manifolds

Authors:
Erik Melin
Affiliations:
Department of Mathematics, Uppsala University, Uppsala, Sweden 751 06
Venue:
Journal of Mathematical Imaging and Vision
Year:
2009

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Abstract

We consider different possibilities to define digital manifolds that are locally homeomorphic to Khalimsky n-space. We prove existence and non-existence of certain types of Khalimsky manifolds. An embedding theorem is proved. We introduce the join operator and use it to analyze the structure of adjacency neighborhoods and of intersections of neighborhoods in ℤ n .