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

@inproceedings{Ohori2014ConstructingAN,
  title={Constructing an n-dimensional Cell Complex from a Soup of (n - 1)-Dimensional Faces},
  author={Ken Arroyo Ohori and Guillaume Damiand and Hugo Ledoux},
  booktitle={ICAA},
  year={2014}
}
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… CONTINUE READING

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