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| author | mcarrier <mcarrier@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-06-27 01:03:45 +0000 |
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| committer | mcarrier <mcarrier@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-06-27 01:03:45 +0000 |
| commit | d221f79cfb7d84941d791835e52fa4a596269cc6 (patch) | |
| tree | cde0df00ef5e7ec21c6a9e123e5d35bd7f5968f3 /src/cython/doc/persistent_cohomology_sum.inc | |
| parent | 0741c3eabbfece1c73ac76aa44adbe2904b6124d (diff) | |
| parent | 5645e9fcbe5730462b2befb8685d3bb6857279be (diff) | |
merged trunk
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/kernels@3644 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 2be9ba6b6a381e677081a751e7d8f8c1d79385b0
Diffstat (limited to 'src/cython/doc/persistent_cohomology_sum.inc')
| -rw-r--r-- | src/cython/doc/persistent_cohomology_sum.inc | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/src/cython/doc/persistent_cohomology_sum.inc b/src/cython/doc/persistent_cohomology_sum.inc new file mode 100644 index 00000000..a26df1dc --- /dev/null +++ b/src/cython/doc/persistent_cohomology_sum.inc @@ -0,0 +1,27 @@ +================================================================= =================================== =================================== +:Author: Clément Maria :Introduced in: GUDHI 2.0.0 :Copyright: GPL v3 +================================================================= =================================== =================================== + ++-----------------------------------------------------------------+-----------------------------------------------------------------------+ +| .. figure:: | The theory of homology consists in attaching to a topological space | +| ../../doc/Persistent_cohomology/3DTorus_poch.png | a sequence of (homology) groups, capturing global topological | +| :figclass: align-center | features like connected components, holes, cavities, etc. Persistent | +| | homology studies the evolution -- birth, life and death -- of these | +| Rips Persistent Cohomology on a 3D | features when the topological space is changing. Consequently, the | +| Torus | 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:`simplex_tree_ref` | +| | * :doc:`cubical_complex_ref` | +| | * :doc:`periodic_cubical_complex_ref` | ++-----------------------------------------------------------------+-----------------------------------------------------------------------+ |