From c524232f734de875d69e2f190f01a6c976024368 Mon Sep 17 00:00:00 2001 From: Gard Spreemann Date: Thu, 14 Jun 2018 20:39:01 +0200 Subject: GUDHI 2.2.0 as released by upstream in a tarball. --- cython/doc/persistent_cohomology_sum.inc | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 cython/doc/persistent_cohomology_sum.inc (limited to 'cython/doc/persistent_cohomology_sum.inc') 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` | ++-----------------------------------------------------------------+-----------------------------------------------------------------------+ -- cgit v1.2.3