diff options
Diffstat (limited to 'src/Persistent_cohomology')
| -rw-r--r-- | src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h | 29 |
1 files changed, 21 insertions, 8 deletions
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h index cd4a2bcc..70173462 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h @@ -35,14 +35,12 @@ namespace Gudhi{ /** \defgroup persistent_cohomology Persistent Cohomology Package * - * Computation of persistent cohomology using the algorithm of - * \cite DBLP:journals/dcg/SilvaMV11 and \cite DBLP:journals/corr/abs-1208-5018 - * and the Compressed Annotation Matrix - * implementation of \cite DBLP:conf/esa/BoissonnatDM13 - * - * - * - + + Computation of persistent cohomology using the algorithm of + \cite DBLP:journals/dcg/SilvaMV11 and \cite DBLP:journals/corr/abs-1208-5018 + and the Compressed Annotation Matrix + implementation of \cite DBLP:conf/esa/BoissonnatDM13 + The theory of homology consists in attaching to a topological space a sequence of (homology) groups, capturing global topological features @@ -159,6 +157,21 @@ namespace Gudhi{ in \cite boissonnat:hal-00922572. +\section Examples + We provide several example files: run these examples with -h for details on their use, and read the README file. + +\li <CODE>rips_persistence.cpp</CODE> computes the Rips complex of a point cloud and its persistence diagram. + +\li <CODE>rips_multifield_persistence.cpp</CODE> computes the Rips complex of a point cloud and its persistence diagram +with a family of field coefficients. + +\li <CODE>performance_rips_persistence.cpp</CODE> provides timings for the construction of the Rips complex on a set of +points sampling a Klein bottle in \f$\mathbb{R}^5\f$ with a simplex tree, its conversion to a +Hasse diagram and the computation of persistent homology and multi-field persistent homology for the +different representations. + + + \author Clément Maria \version 1.0 \date 2014 |