Local computation of homology variations over a construction process

DOI10.1016/j.cagd.2020.101907zbMath1505.55012OpenAlexW3032906679MaRDI QIDQ2197935

Samuel Peltier, Wassim Rharbaoui, Sylvie Alayrangues, Pascal Lienhardt

Publication date: 1 September 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2020.101907

zbMATH Keywords

cellular structurecell complexesconstruction processhomology groups and generators

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Uses Software

• Homology
• Gudhi
• PHAT
• Sophia

Cites Work

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• Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix
• Basic Linear Algebra Subprograms for Fortran Usage
• Computing Topological Persistence for Simplicial Maps
• Geometric and Topological Inference
• Combinatorial Maps
• Distributed Computation of Persistent Homology
• Zigzag persistent homology and real-valued functions

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