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  • Herbert EdelsbrunnerEmail author
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

Complicated shapes and data sets—in particular those that occur in nature—have different appearance depending on the resolution of the observation.

Keywords

Simplicial Complex Homology Group Delaunay Triangulation Betti Number Complicated Shape 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Edelsbrunner H, Letscher D, Zomorodian A (2002) Topological persistence and simplification. Discrete Comput Geom 28:511–533Google Scholar
  2. 2.
    Delfinado CJA, Edelsbrunner H (1995) An incremental algorithm for Betti numbers of simplicial complexes on the \(3\)-sphere. Comput Aided Geom Design 12:771–784CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Tarjan RE (1983) Data structures and network algorithms. SIAM, Philadelphia, PennsylvaniaGoogle Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Institute of Science and Technology AustriaKlosterneuburgAustria

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