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authorMarc Glisse <marc.glisse@inria.fr>2020-05-29 21:35:02 +0200
committerMarc Glisse <marc.glisse@inria.fr>2020-05-29 21:35:02 +0200
commit14ee986e2d1802b7b40e3319bea787b5d1624b06 (patch)
treec062cd8d4e914482a05b1c4f553e738aed765470 /src/python/doc/rips_complex_sum.inc
parentc53567c85f936f78000471fcee6234e75f7742ca (diff)
Rewrite some summaries
Diffstat (limited to 'src/python/doc/rips_complex_sum.inc')
-rw-r--r--src/python/doc/rips_complex_sum.inc18
1 files changed, 5 insertions, 13 deletions
diff --git a/src/python/doc/rips_complex_sum.inc b/src/python/doc/rips_complex_sum.inc
index 9cd8074b..c123ea2a 100644
--- a/src/python/doc/rips_complex_sum.inc
+++ b/src/python/doc/rips_complex_sum.inc
@@ -2,21 +2,13 @@
:widths: 30 40 30
+----------------------------------------------------------------+------------------------------------------------------------------------+----------------------------------------------------------------------+
- | .. figure:: | Rips complex is a simplicial complex constructed from a one skeleton | :Authors: Clément Maria, Pawel Dlotko, Vincent Rouvreau, Marc Glisse |
- | ../../doc/Rips_complex/rips_complex_representation.png | graph. | |
+ | .. figure:: | The Vietoris-Rips complex is a simplicial complex built as the | :Authors: Clément Maria, Pawel Dlotko, Vincent Rouvreau, Marc Glisse |
+ | ../../doc/Rips_complex/rips_complex_representation.png | clique-complex of a proximity graph. | |
| :figclass: align-center | | :Since: GUDHI 2.0.0 |
- | | The filtration value of each edge is computed from a user-given | |
- | | distance function and is inserted until a user-given threshold | :License: MIT |
- | | value. | |
+ | | We also provide sparse approximations, to speed-up the computation | |
+ | | of persistent homology, and weighted versions, which are more robust | :License: MIT |
+ | | to outliers. | |
| | | |
- | | This complex can be built from a point cloud and a distance function, | |
- | | or from a distance matrix. | |
- | | | |
- | | Weighted Rips complex constructs a simplicial complex from a distance | |
- | | matrix and weights on vertices. | |
- | | | |
- | | DTM Rips complex builds a simplicial complex from a point set or | |
- | | a distance matrix. | |
+----------------------------------------------------------------+------------------------------------------------------------------------+----------------------------------------------------------------------+
| * :doc:`rips_complex_user` | * :doc:`rips_complex_ref` |
+----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------+