Generalized Simple Surface Points

  • J. C. Ciria
  • E. Domínguez
  • A. R. Francés
  • A. Quintero
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7749)


By using exclusively the customary adjacency relations on ℤ3, we generalize the notion of a simple surface point given by Morgenthaler in the 80s. A new definition of simple surface arises, and we show that simple surfaces coincide with the strong separating family of a certain class of digital surfaces defined by means of continuous analogues that, in turn, contains several families of discrete surfaces in the literature.


Unit Cube Surface Point Adjacency Pair Simple Surface Adjacency Relation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • J. C. Ciria
    • 1
  • E. Domínguez
    • 1
  • A. R. Francés
    • 1
  • A. Quintero
    • 2
  1. 1.Dpto. de Informática e Ingeniería de Sistemas, Facultad de CienciasUniversidad de ZaragozaZaragozaSpain
  2. 2.Dpto. de Geometría y Topología, Facultad de MatemáticasUniversidad de SevillaSevillaSpain

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