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Conference Papers Year : 2015

Building Efficient and Compact Data Structures for Simplicial Complexes

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Jean-Daniel Boissonnat
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  • PersonId : 935453

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Geometric computing
C. S. Karthik
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  • PersonId : 965906
Weizmann Institute of Science [Rehovot, Israël]
Sébastien Tavenas
Max-Planck-Institut für Informatik

Abstract

The Simplex Tree (ST) is a recently introduced data structure that can represent abstract simplicial complexes of any dimension and allows efficient implementation of a large range of basic operations on simplicial complexes. In this paper, we show how to optimally compress the Simplex Tree while retaining its functionalities. In addition, we propose two new data structures called Maximal Simplex Tree (MxST) and Simplex Array List (SAL). We analyze the compressed Simplex Tree, the Maximal Simplex Tree, and the Simplex Array List under various settings.

Domains

Computer Science [cs] Computational Geometry [cs.CG]
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https://hal.inria.fr/hal-01145407

Submitted on : Monday, April 27, 2015-10:57:08 AM

Last modification on : Tuesday, October 25, 2022-4:21:52 PM

Long-term archiving on: Monday, September 14, 2015-1:10:13 PM

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hal-01145407 , version 1 (27-04-2015)

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Jean-Daniel Boissonnat, C. S. Karthik, Sébastien Tavenas. Building Efficient and Compact Data Structures for Simplicial Complexes. International Symposium on Computational Geometry 2015, Jun 2015, Eindhoven, Netherlands. ⟨10.4230/LIPIcs.SOCG.2015.642⟩. ⟨hal-01145407⟩

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