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Using Membrane Computing for Obtaining Homology Groups of Binary 2D Digital Images

  • Hepzibah A. Christinal
  • Daniel Díaz-Pernil
  • Pedro Real Jurado
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5852)

Abstract

Membrane Computing is a new paradigm inspired from cellular communication. Until now, P systems have been used in research areas like modeling chemical process, several ecosystems, etc. In this paper, we apply P systems to Computational Topology within the context of the Digital Image. We work with a variant of P systems called tissue-like P systems to calculate in a general maximally parallel manner the homology groups of 2D images. In fact, homology computation for binary pixel-based 2D digital images can be reduced to connected component labeling of white and black regions. Finally, we use a software called Tissue Simulator to show with some examples how these systems work.

Keywords

computational topology homology groups membrane computing P systems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Hepzibah A. Christinal
    • 1
    • 2
  • Daniel Díaz-Pernil
    • 1
  • Pedro Real Jurado
    • 1
  1. 1.Research Group on Computational Topology and Applied MathematicsUniversity of SevillaSevillaSpain
  2. 2.Karunya UniversityCoimbatore, TamilnaduIndia

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