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Presentation of the Fundamental Group in Digital Surfaces

  • Rémy Malgouyres
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1568)

Abstract

As its analogue in the continuous framework, the digital fundamental group represents a major information on the topology of discrete objects. However, the fundamental group is an abstract information and cannot directly be encoded in a computer using its definition. A classical mathematical way to encode a discrete group is to find a presentation of this group. In this paper, we define a presentation for the fundamental group of any subset of a digital surface. This presentation can be computed by an efficient algorithm.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Rémy Malgouyres
    • 1
  1. 1.GREYC, ISMRACAENFRANCE

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