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-rw-r--r--src/Alpha_complex/doc/Intro_alpha_complex.h8
1 files changed, 6 insertions, 2 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h
index a08663ca..a1092068 100644
--- a/src/Alpha_complex/doc/Intro_alpha_complex.h
+++ b/src/Alpha_complex/doc/Intro_alpha_complex.h
@@ -57,9 +57,13 @@ namespace alpha_complex {
* href="http://doc.cgal.org/latest/Kernel_d/index.html#Chapter_dD_Geometry_Kernel">dD Geometry Kernel</a>
* \cite cgal:s-gkd-15b from CGAL as template parameter.
*
- * \remark When the simplicial complex is constructed with an infinite value of alpha, the complex is a Delaunay
+ * \remark
+ * - When the simplicial complex is constructed with an infinite value of alpha, the complex is a Delaunay
* complex.
- *
+ * - For people only interested in the topology of the \ref alpha_complex (for instance persistence),
+ * \ref alpha_complex is equivalent to the \ref cech_complex and much smaller if you do not bound the radii.
+ * \ref cech_complex can still make sense in higher dimension precisely because you can bound the radii.
+ *
* \section pointsexample Example from points
*
* This example builds the Delaunay triangulation from the given points in a 2D static kernel, and creates a