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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-08-12 15:29:48 +0000 |
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| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-08-12 15:29:48 +0000 |
| commit | 5b6bebd9a8072d8998b0c741e5b40de0cfe5dc8e (patch) | |
| tree | 995194307af2d09f44dcdd9fd1494f3ada6e966a /src/cython/doc/persistent_cohomology_sum.rst | |
| parent | 46566db4452be7dee8398e1ed5a25add7f80ac39 (diff) | |
Move cython/src/* in cython/
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/ST_cythonize@1436 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 8f971ef16ef6df597d5d3667db0eecbca94233b2
Diffstat (limited to 'src/cython/doc/persistent_cohomology_sum.rst')
| -rw-r--r-- | src/cython/doc/persistent_cohomology_sum.rst | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/src/cython/doc/persistent_cohomology_sum.rst b/src/cython/doc/persistent_cohomology_sum.rst new file mode 100644 index 00000000..081399a5 --- /dev/null +++ b/src/cython/doc/persistent_cohomology_sum.rst @@ -0,0 +1,28 @@ +===================================== ===================================== ===================================== +:Author: Clément Maria :Introduced in: GUDHI PYTHON 1.4.0 :Copyright: GPL v3 +===================================== ===================================== ===================================== + ++---------------------------------------------+----------------------------------------------------------------------+ +| .. image:: | The theory of homology consists in attaching to a topological space | +| img/3DTorus_poch.png | 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. | +| | | +| | 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`. | +| | | ++---------------------------------------------+----------------------------------------------------------------------+ +| :doc:`persistent_cohomology_user` | Please refer to each data structure that contains persistence | +| | feature for reference: | +| | | +| | * :doc:`alpha_complex_ref` | +| | * :doc:`cubical_complex_ref` | +| | * :doc:`simplex_tree_ref` | +| | * :doc:`witness_complex_ref` | ++---------------------------------------------+----------------------------------------------------------------------+ |