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authorvrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2018-11-14 07:10:50 +0000
committervrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2018-11-14 07:10:50 +0000
commitbf7fcb97a34875107bf249c3d0c42cb3b1b27544 (patch)
treee7ec1bf9cced8234012ed8f4aa931bc6f268bcbf /src/Rips_complex/doc/Intro_rips_complex.h
parent5f4229227fe747ce08b1f296596343d9fdf79535 (diff)
parent65d609bbf5d688552ad0f5535b6c42abffe27a1f (diff)
Merge last trunk modifications
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/simplex_tree_fix_vincent@3976 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: b246c9007b06ed57d59dc1d18b02262d9c765fb9
Diffstat (limited to 'src/Rips_complex/doc/Intro_rips_complex.h')
-rw-r--r--src/Rips_complex/doc/Intro_rips_complex.h7
1 files changed, 5 insertions, 2 deletions
diff --git a/src/Rips_complex/doc/Intro_rips_complex.h b/src/Rips_complex/doc/Intro_rips_complex.h
index 712d3b6e..a2537036 100644
--- a/src/Rips_complex/doc/Intro_rips_complex.h
+++ b/src/Rips_complex/doc/Intro_rips_complex.h
@@ -39,7 +39,7 @@ namespace rips_complex {
* <a target="_blank" href="https://en.wikipedia.org/wiki/Vietoris%E2%80%93Rips_complex">(Wikipedia)</a>
* is an abstract simplicial complex
* defined on a finite metric space, where each simplex corresponds to a subset
- * of point whose diameter is smaller that some given threshold.
+ * of points whose diameter is smaller that some given threshold.
* Varying the threshold, we can also see the Rips complex as a filtration of
* the \f$(n-1)-\f$dimensional simplex, where the filtration value of each
* simplex is the diameter of the corresponding subset of points.
@@ -53,7 +53,10 @@ namespace rips_complex {
* The number of simplices in the full Rips complex is exponential in the
* number of vertices, it is thus usually restricted, by excluding all the
* simplices with filtration value larger than some threshold, and keeping only
- * the dim_max-skeleton.
+ * the dim_max-skeleton. It may also be a good idea to start by making the
+ * point set sparser, for instance with
+ * `Gudhi::subsampling::sparsify_point_set()`, since small clusters of points
+ * have a disproportionate cost without affecting the persistence diagram much.
*
* In order to build this complex, the algorithm first builds the graph.
* The filtration value of each edge is computed from a user-given distance