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Homology Computation During an Incremental Construction Process

  • Pascal Lienhardt
  • Samuel Peltier
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9667)

Abstract

Controlling the construction of geometric objects is important for several Geometric Modeling applications. Homology (groups and generators) may be useful for this control. For such incremental construction processes, it is interesting to incrementally compute the homology, i.e. to deduce the homological information at step s of the construction from the homological information computed at step \(s-1\). We here study the application of effective homology results [13] for such incremental computations.

Keywords

Homology Simplicial and cellular combinatorial structures Incremental computation 

Notes

Acknowledgments

Many thanks to Francis Sergeraert, Sylvie Alayrangues and Laurent Fuchs.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Université de Poitiers, Laboratoire XLIM, UMR CNRS 7252PoitiersFrance

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