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author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-04-14 07:17:44 +0000 |
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committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-04-14 07:17:44 +0000 |
commit | 4e784aca4df90d3fca9146bfd9e3feda98ce5f4c (patch) | |
tree | 89182d71a1cfe45b70410af70500e3e90f7aca52 /src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h | |
parent | c829c36217c003b2068750aa8f23b6082636e6e1 (diff) | |
parent | baf1b5b39be90694b512fff9c79438bf362916f3 (diff) |
Merge last trunk modifications (version 1.3.0)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/ST_cythonize@1113 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 608c3cb733a7723c865f82a4de9408c984227f1a
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. @{ */ |