The Gudhi library: Simplicial complexes and persistent homology

Maria, Clement, Boissonnat, Jean-Daniel, Glisse, Marc and Yvinec, Mariette (2014). The Gudhi library: Simplicial complexes and persistent homology. In: Hoon Hong and Chee Yap, Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. 4th International Congress on Mathematical Software, ICMS 2014, Seoul, South Korea, (167-174). 5 - 9 Ausgust 2014. doi:10.1007/978-3-662-44199-2_28


Author Maria, Clement
Boissonnat, Jean-Daniel
Glisse, Marc
Yvinec, Mariette
Title of paper The Gudhi library: Simplicial complexes and persistent homology
Conference name 4th International Congress on Mathematical Software, ICMS 2014
Conference location Seoul, South Korea
Conference dates 5 - 9 Ausgust 2014
Proceedings title Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings   Check publisher's open access policy
Journal name Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)   Check publisher's open access policy
Series Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Place of Publication Heidelberg, Germany
Publisher Springer
Publication Year 2014
Year available 2014
Sub-type Fully published paper
DOI 10.1007/978-3-662-44199-2_28
Open Access Status
ISBN 9783662441985
9783662441992
ISSN 0302-9743
1611-3349
Editor Hoon Hong
Chee Yap
Volume 8592 LNCS
Start page 167
End page 174
Total pages 8
Chapter number 28
Total chapters 108
Collection year 2015
Language eng
Abstract/Summary 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/.
Keyword Computational topology
Generic programming
Persistent homology
Simplicial complex
Software library
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Conference Paper
Collections: School of Mathematics and Physics
Non HERDC
 
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Created: Mon, 16 Feb 2015, 10:52:06 EST by Clement Maria on behalf of School of Mathematics & Physics