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| author | Gard Spreemann <gspreemann@gmail.com> | 2018-06-15 12:42:55 +0200 |
|---|---|---|
| committer | Gard Spreemann <gspreemann@gmail.com> | 2018-06-15 12:42:55 +0200 |
| commit | c31bac6af57af917b8f799d0c21eb6af34ee1f6e (patch) | |
| tree | 5a9603a4ec016f1aa09c7da52510790680c790c3 /cython/doc/persistent_cohomology_sum.inc | |
| parent | 02de1136cf9850803cb1e1ac1141f11b50be2992 (diff) | |
| parent | 41482b4260b4aff3d6803e340d5c94fbefb9af67 (diff) | |
Merge branch 'dfsg/latest' into debian/sid
Diffstat (limited to 'cython/doc/persistent_cohomology_sum.inc')
| -rw-r--r-- | cython/doc/persistent_cohomology_sum.inc | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/cython/doc/persistent_cohomology_sum.inc b/cython/doc/persistent_cohomology_sum.inc new file mode 100644 index 00000000..a26df1dc --- /dev/null +++ b/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` | ++-----------------------------------------------------------------+-----------------------------------------------------------------------+ |