@conference {13256,
title = {A data structure for non-manifold simplicial d-complexes},
booktitle = {Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing},
series = {SGP {\textquoteright}04},
year = {2004},
month = {2004///},
pages = {83 - 92},
publisher = {ACM},
organization = {ACM},
address = {New York, NY, USA},
abstract = {We propose a data structure for d-dimensional simplicial complexes, that we call the Simplified Incidence Graph (SIG). The simplified incidence graph encodes all simplices of a simplicial complex together with a set of boundary and partial co-boundary topological relations. It is a dimension-independent data structure in the sense that it can represent objects of arbitrary dimensions. It scales well to the manifold case, i.e. it exhibits a small overhead when applied to simplicial complexes with a manifold domain, Here, we present efficient navigation algorithms for retrieving all topological relations from a SIG, and an algorithm for generating a SIG from a representation of the complex as an incidence graph. Finally, we compare the simplified incidence graph with the incidence graph, with a widely-used data structure for d-dimensional pseudo-manifold simplicial complexes, and with two data structures specific for two-and three-dimensional simplicial complexes.},
isbn = {3-905673-13-4},
doi = {10.1145/1057432.1057444},
url = {http://doi.acm.org/10.1145/1057432.1057444},
author = {De Floriani, Leila and Greenfieldboyce,David and Hui,Annie}
}