@inproceedings{987ed3de18e14fe98370ef97b7a27d61,

title = "Constructing an n-dimensional cell complex from a soup of (N − 1)-dimensional faces",

abstract = "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.",

author = "{Arroyo Ohori}, Ken and Guillaume Damiand and Hugo Ledoux",

year = "2014",

doi = "10.1007/978-3-319-04126-1_4",

language = "English",

isbn = "978-3-319-04125-4",

volume = "8321",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer",

pages = "37--48",

editor = "P. Gupta and C. Zaroliagis",

booktitle = "Applied Algorithms",

note = "1st International Conference on Applied Algorithms, ICAA 2014 ; Conference date: 13-01-2014 Through 15-01-2014",

}