Constructing an n-dimensional cell complex from a soup of (n-1)-dimensional faces

Constructing an n-dimensional cell complex from a soup of (n-1)-dimensional faces

Arroyo Ohori, K.
Damiand, G.
Ledoux, H.

OTB Research Institute for the Built Environment

GIS Technology

2013-10-04

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.

http://resolver.tudelft.nl/uuid:a49e0674-5224-40c2-9775-0a1a69e73dc3

Springer

Applied Algorithms: First International Conference, ICAA 2014, Kolkata, India, January 13-15, 2014 (Draft Version)

Institutional Repository

conference paper

(c) 2013 The authors