TY - CONF
T1 - A data structure for non-manifold simplicial d-complexes
T2 - Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Y1 - 2004
A1 - De Floriani, Leila
A1 - Greenfieldboyce,David
A1 - Hui,Annie
AB - 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.
JA - Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
T3 - SGP '04
PB - ACM
CY - New York, NY, USA
SN - 3-905673-13-4
UR - http://doi.acm.org/10.1145/1057432.1057444
M3 - 10.1145/1057432.1057444
ER -