Calculating the Number of Tunnels

  • Fajie Li
  • Reinhard Klette
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5197)


This paper considers 2-regions of grid cubes and proposes an algorithm for calculating the number of tunnels of such a region. The graph-theoretical algorithm proceeds layer by layer; a proof of its correctness is provided, and its time complexity is also given.


Number of tunnels digital topology 3D grid 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Fajie Li
    • 1
  • Reinhard Klette
    • 2
  1. 1.Groningen UniversityThe Netherlands
  2. 2.The University of AucklandNew Zealand

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