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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-08-09 16:02:23 +0000 |
|---|---|---|
| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-08-09 16:02:23 +0000 |
| commit | 4721085696a8def22da522c32b78748765cbe006 (patch) | |
| tree | ac753477afca05abd021737adfb96f015ec0a99c /src/cython/doc/source/persistent_cohomology_sum.rst | |
| parent | 8ce416a795b99cb396e650b9a3512c3c23d8a9f6 (diff) | |
Modifications for sphinx documentation
latex support (still pseudo code issue)
doctest support for linux
Cmake launches make html && make doctest to test the doc
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/ST_cythonize@1427 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 58de6ec78d4368b99c9a81c9c229c4e7b075835a
Diffstat (limited to 'src/cython/doc/source/persistent_cohomology_sum.rst')
| -rw-r--r-- | src/cython/doc/source/persistent_cohomology_sum.rst | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/src/cython/doc/source/persistent_cohomology_sum.rst b/src/cython/doc/source/persistent_cohomology_sum.rst new file mode 100644 index 00000000..081399a5 --- /dev/null +++ b/src/cython/doc/source/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` | ++---------------------------------------------+----------------------------------------------------------------------+ |