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authorsalinasd <salinasd@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-15 17:44:43 +0000
committersalinasd <salinasd@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-15 17:44:43 +0000
commit6a6651c5a097f5024a42c9912723fe09ba714fe7 (patch)
tree372884c4fa9f15326e44618bf7b3541a606f8e4b /src/Persistent_cohomology
parent03275635bf6f01eab4f5df469fef8e6c5eed7ee7 (diff)
doc
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@353 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Diffstat (limited to 'src/Persistent_cohomology')
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h29
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