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The Gudhi library: Simplicial complexes and persistent homology

  • Clément Maria
  • , Jean Daniel Boissonnat
  • , Marc Glisse
  • , Mariette Yvinec
  • INRIA Institut National de Recherche en Informatique et en Automatique

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present the main algorithmic and design choices that have been made to represent complexes and compute persistent homology in the Gudhi library. The Gudhi library (Geometric Understanding in Higher Dimensions) is a generic C++ library for computational topology. Its goal is to provide robust, efficient, flexible and easy to use implementations of state-of-the-art algorithms and data structures for computational topology. We present the different components of the software, their interaction and the user interface. We justify the algorithmic and design decisions made in Gudhi and provide benchmarks for the code. The software, which has been developped by the first author, will be available soon at project.inria.fr/gudhi/software/.

Original languageEnglish
Title of host publicationMathematical Software, ICMS 2014 - 4th International Congress, Proceedings
PublisherSpringer Verlag
Pages167-174
Number of pages8
ISBN (Print)9783662441985
DOIs
Publication statusPublished - 1 Jan 2014
Event4th International Congress on Mathematical Software, ICMS 2014 - Seoul, Korea, Republic of
Duration: 5 Aug 20149 Aug 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8592 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Congress on Mathematical Software, ICMS 2014
Country/TerritoryKorea, Republic of
CitySeoul
Period5/08/149/08/14

Keywords

  • computational topology
  • generic programming
  • persistent homology
  • simplicial complex
  • software library

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