diff options
Diffstat (limited to 'src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h')
| -rw-r--r-- | src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h | 15 |
1 files changed, 1 insertions, 14 deletions
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h index 643b810c..1b86f1f9 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h @@ -48,6 +48,7 @@ namespace persistent_cohomology { /** \defgroup persistent_cohomology Persistent Cohomology * + \author Clément Maria Computation of persistent cohomology using the algorithm of \cite DBLP:journals/dcg/SilvaMV11 and \cite DBLP:journals/corr/abs-1208-5018 @@ -63,15 +64,6 @@ namespace persistent_cohomology { composed of three elements: topological spaces, their homology groups and an evolution scheme. - The theory of homology consists in attaching to a topological space a sequence of - (homology) groups, - capturing global topological features - like connected components, holes, cavities, etc. Persistent homology studies the evolution - -- birth, life and death -- of - these features when the topological space is changing. Consequently, the theory is essentially - composed of three elements: - topological spaces, their homology groups and an evolution scheme. - <DT>Topological Spaces:</DT> Topological spaces are represented by simplicial complexes. Let \f$V = \{1, \cdots ,|V|\}\f$ be a set of <EM>vertices</EM>. @@ -178,11 +170,6 @@ points sampling a Klein bottle in \f$\mathbb{R}^5\f$ with a simplex tree, its co 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 \copyright GNU General Public License v3. @{ */ |