diff options
Diffstat (limited to 'src/cython/doc/persistent_cohomology_sum.inc')
| -rw-r--r-- | src/cython/doc/persistent_cohomology_sum.inc | 51 |
1 files changed, 25 insertions, 26 deletions
diff --git a/src/cython/doc/persistent_cohomology_sum.inc b/src/cython/doc/persistent_cohomology_sum.inc index a26df1dc..5bf1a7bf 100644 --- a/src/cython/doc/persistent_cohomology_sum.inc +++ b/src/cython/doc/persistent_cohomology_sum.inc @@ -1,27 +1,26 @@ -================================================================= =================================== =================================== -:Author: Clément Maria :Introduced in: GUDHI 2.0.0 :Copyright: GPL v3 -================================================================= =================================== =================================== +.. table:: + :widths: 30 50 20 -+-----------------------------------------------------------------+-----------------------------------------------------------------------+ -| .. 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` | -+-----------------------------------------------------------------+-----------------------------------------------------------------------+ + +-----------------------------------------------------------------+-----------------------------------------------------------------------+-----------------------------------------------+ + | .. figure:: | The theory of homology consists in attaching to a topological space | :Author: Clément Maria | + | ../../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 | :Introduced in: GUDHI 2.0.0 | + | | 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 | :Copyright: GPL v3 | + | 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` | | + +-----------------------------------------------------------------+-----------------------------------------------------------------------+-----------------------------------------------+ |