Improve documentation for Tangential complex (Fix #16)

1 files changed, 3 insertions, 2 deletions

diff --git a/src/Tangential_complex/doc/Intro_tangential_complex.h b/src/Tangential_complex/doc/Intro_tangential_complex.h
index f4fc8ac7..649ec389 100644
--- a/src/Tangential_complex/doc/Intro_tangential_complex.h
+++ b/src/Tangential_complex/doc/Intro_tangential_complex.h
@@ -46,9 +46,10 @@ An extensive description of the Tangential complex can be found in \cite tangent
 \subsection whatisthetc What is a Tangential Complex?
 
 Let us start with the description of the Tangential complex of a simple example, with \f$ k=1 \f$ and \f$ d=2 \f$.
-The input data is 4 points \f$ P \f$ located on a curve embedded in 2D.
+Only 4 points will be displayed (more are required for PCA) to simplify the figures. \f$ P \f$ located on a closed
+curve embedded in 2D.
 \image html "tc_example_01.png" "The input"
-For each point \f$ p \f$, estimate its tangent subspace \f$ T_p \f$ (e.g. using PCA).
+For each point \f$ p \f$, estimate its tangent subspace \f$ T_p \f$ using PCA.
 \image html "tc_example_02.png" "The estimated normals"
 Let us add the Voronoi diagram of the points in orange. For each point \f$ p \f$, construct its star in the Delaunay triangulation of \f$ P \f$ restricted to \f$ T_p \f$.
 \image html "tc_example_03.png" "The Voronoi diagram"