Journal
DISCRETE APPLIED MATHEMATICS
Volume 161, Issue 16-17, Pages 2662-2677Publisher
ELSEVIER
DOI: 10.1016/j.dam.2013.06.001
Keywords
Digital geometry; Digital topology; Mathematical morphology; Digital circle and sphere; Analytical characterization
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In this paper we provide an analytical description of various classes of digital circles, spheres and in some cases hyperspheres, defined in a morphological framework. The topological properties of these objects, especially the separation of the digital space, are discussed according to the shape of the structuring element. The proposed framework is generic enough so that it encompasses most of the digital circle definitions that appear in the literature and extends them to dimension 3 and sometimes dimension n. (C) 2013 Elsevier B.V. All rights reserved.
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