Constructing an n-dimensional Cell Complex from a Soup of (n − 1)-Dimensional Faces

  • Ken Arroyo Ohori
  • Guillaume Damiand
  • Hugo Ledoux
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8321)


There is substantial value in the use of higher-dimensional (>3D) digital objects in GIS that are built from complex real-world data. This use is however hampered by the difficulty of constructing such objects. In this paper, we present a dimension independent algorithm to build an n-dimensional cellular complex with linear geometries from its isolated (n − 1)-dimensional faces represented as combinatorial maps. It does so by efficiently finding the common (n − 2)-cells (ridges) along which they need to be linked. This process can then be iteratively applied in increasing dimension to construct objects of any dimension. We briefly describe combinatorial maps, present our algorithm using them as a base, and show an example using 2D, 3D and 4D objects which was verified to be correct, both manually and using automated methods.


Geographic Information System Cell Complex Open Geospatial Consortium Incremental Construction Identity Comparison 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ken Arroyo Ohori
    • 1
  • Guillaume Damiand
    • 2
  • Hugo Ledoux
    • 1
  1. 1.Delft University of TechnologyThe Netherlands
  2. 2.CNRS, UMR 5205, LIRISUniversité de LyonFrance

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