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-rw-r--r--src/Cech_complex/doc/Intro_cech_complex.h8
1 files changed, 4 insertions, 4 deletions
diff --git a/src/Cech_complex/doc/Intro_cech_complex.h b/src/Cech_complex/doc/Intro_cech_complex.h
index 244609a9..4d88a1e9 100644
--- a/src/Cech_complex/doc/Intro_cech_complex.h
+++ b/src/Cech_complex/doc/Intro_cech_complex.h
@@ -35,16 +35,16 @@ namespace cech_complex {
*
* \section cechdefinition Čech complex definition
*
- * Cech_complex
+ * Čech complex
* <a target="_blank" href="https://en.wikipedia.org/wiki/%C4%8Cech_cohomology">(Wikipedia)</a> is a
- * proximity graph that allows to construct a
- * <a target="_blank" href="https://en.wikipedia.org/wiki/Simplicial_complex">simplicial complex</a>
- * from it.
+ * <a target="_blank" href="https://en.wikipedia.org/wiki/Simplicial_complex">simplicial complex</a> constructed
+ * from a proximity graph. The set of all simplices is filtered by the radius of their minimal enclosing ball.
*
* The input shall be a point cloud in an Euclidean space.
*
* \subsection cechalgorithm Algorithm
*
+ * Cech_complex first builds a proximity graph from a point cloud.
* The filtration value of each edge of the `Gudhi::Proximity_graph` is computed from
* `Gudhi::Minimal_enclosing_ball_radius` function.
*