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On the Notion of Dimension in Digital Spaces

  • Valentin E. Brimkov
  • Angelo Maimone
  • Giorgio Nordo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4040)

Abstract

Dimension is a fundamental concept in topology. Mylopoulos and Pavlidis [17] provided a definition for discrete spaces. In the present paper we propose an alternative one for the case of planar digital objects. It makes up certain shortcomings of the definition from [17] and implies dimensionality properties analogous to those familiar from classical topology. We also establish relations between dimension of digital objects and their Euler characteristic.

Keywords

digital topology 2D binary object dimension 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Valentin E. Brimkov
    • 1
  • Angelo Maimone
    • 2
  • Giorgio Nordo
    • 2
  1. 1.Mathematics DepartmentSUNY Buffalo State CollegeBuffaloUSA
  2. 2.Dipartimento di MatematicaUniversità di MessinaMessinaItaly

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