### Abstract

We consider here the problem of representing non-manifold shapes discretized as d-dimensional simplicial Euclidean complexes. To this aim, we propose a dimension-independent data structure for simplicial complexes, called the Incidence Simplicial (IS) data structure, which is scalable to manifold complexes, and supports efficient navigation and topological modifications. The IS data structure has the same expressive power and exibits performances in query and update operations as the incidence graph, a widely-used representation for general cell complexes, but it is much more compact. Here, we describe the IS data structure and we evaluate its storage cost. Moreover, we present efficient algorithms for navigating and for generating a simplicial complex described as an IS data structure. We compare the IS data structure with the incidence graph and with dimension-specific representations for simplicial complexes.

Original language | English (US) |
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Title of host publication | Proceedings of the 19th International Meshing Roundtable, IMR 2010 |

Pages | 403-420 |

Number of pages | 18 |

DOIs | |

State | Published - 2010 |

Event | 19th International Meshing Roundtable, IMR 2010 - Chattanooga, TN, United States Duration: Oct 3 2010 → Oct 6 2010 |

### Other

Other | 19th International Meshing Roundtable, IMR 2010 |
---|---|

Country | United States |

City | Chattanooga, TN |

Period | 10/3/10 → 10/6/10 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science (miscellaneous)
- Modeling and Simulation

### Cite this

*Proceedings of the 19th International Meshing Roundtable, IMR 2010*(pp. 403-420) https://doi.org/10.1007/978-3-642-15414-0_24

**A dimension-independent data structure for simplicial complexes.** / De Floriani, Leila; Hui, Annie; Panozzo, Daniele; Canino, David.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 19th International Meshing Roundtable, IMR 2010.*pp. 403-420, 19th International Meshing Roundtable, IMR 2010, Chattanooga, TN, United States, 10/3/10. https://doi.org/10.1007/978-3-642-15414-0_24

}

TY - GEN

T1 - A dimension-independent data structure for simplicial complexes

AU - De Floriani, Leila

AU - Hui, Annie

AU - Panozzo, Daniele

AU - Canino, David

PY - 2010

Y1 - 2010

N2 - We consider here the problem of representing non-manifold shapes discretized as d-dimensional simplicial Euclidean complexes. To this aim, we propose a dimension-independent data structure for simplicial complexes, called the Incidence Simplicial (IS) data structure, which is scalable to manifold complexes, and supports efficient navigation and topological modifications. The IS data structure has the same expressive power and exibits performances in query and update operations as the incidence graph, a widely-used representation for general cell complexes, but it is much more compact. Here, we describe the IS data structure and we evaluate its storage cost. Moreover, we present efficient algorithms for navigating and for generating a simplicial complex described as an IS data structure. We compare the IS data structure with the incidence graph and with dimension-specific representations for simplicial complexes.

AB - We consider here the problem of representing non-manifold shapes discretized as d-dimensional simplicial Euclidean complexes. To this aim, we propose a dimension-independent data structure for simplicial complexes, called the Incidence Simplicial (IS) data structure, which is scalable to manifold complexes, and supports efficient navigation and topological modifications. The IS data structure has the same expressive power and exibits performances in query and update operations as the incidence graph, a widely-used representation for general cell complexes, but it is much more compact. Here, we describe the IS data structure and we evaluate its storage cost. Moreover, we present efficient algorithms for navigating and for generating a simplicial complex described as an IS data structure. We compare the IS data structure with the incidence graph and with dimension-specific representations for simplicial complexes.

UR - http://www.scopus.com/inward/record.url?scp=79957790316&partnerID=8YFLogxK

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U2 - 10.1007/978-3-642-15414-0_24

DO - 10.1007/978-3-642-15414-0_24

M3 - Conference contribution

AN - SCOPUS:79957790316

SN - 9783642154133

SP - 403

EP - 420

BT - Proceedings of the 19th International Meshing Roundtable, IMR 2010

ER -