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Local Characterization of a Maximum Set of Digital (26,6)-Surfaces

  • Jose C. Ciria
  • Angel de Miguel
  • Eladio Domínguez
  • Angel R. Francés
  • Antonio Quintero
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3429)

Abstract

This paper provides a local characterization for a set of digital surfaces S U defined in [6] by mean of continuous analogues. For this, we firstly identify the set of admisible plates for any surface S ∈ S U (i.e., the intersection S ∩ C of S with a unit cube C of ℤ3 ). Then, the characterization is given in terms of a graph representing the intersection of plates. In addition, we establish a further condition that detects the digital surfaces in S U which are strongly separating objects.

The family S U consists of all objects which are a digital surface in some homogeneous (26,6)-connected digital space in the sense of [3]. Moreover, the subset of strongly separating surfaces of S U contains the family of simplicity 26-surfaces and other surfaces in literature as well.

Keywords

Digital Object Unit Cube Adjacency Pair Digital Space Polyhedral Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jose C. Ciria
    • 1
  • Angel de Miguel
    • 1
  • Eladio Domínguez
    • 1
  • Angel R. Francés
    • 1
  • Antonio Quintero
    • 2
  1. 1.Dpt. de Informática e Ingeniería de Sistemas, Facultad de CienciasUniversidad de ZaragozaZaragozaSpain
  2. 2.Dpt. de Geometría y Topología, Facultad de MatemáticasUniversidad de Sevilla, Apto. 1160SevillaSpain

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