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-rw-r--r--src/cython/doc/tangential_complex_user.rst8
1 files changed, 4 insertions, 4 deletions
diff --git a/src/cython/doc/tangential_complex_user.rst b/src/cython/doc/tangential_complex_user.rst
index 97471baf..5147797c 100644
--- a/src/cython/doc/tangential_complex_user.rst
+++ b/src/cython/doc/tangential_complex_user.rst
@@ -23,8 +23,9 @@ What is a Tangential Complex?
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Let us start with the description of the Tangential complex of a simple
-example, with :math:`k = 1` and :math:`d = 2`. The input data is 4 points
-:math:`P` located on a curve embedded in 2D.
+example, with :math:`k = 1` and :math:`d = 2`. Only 4 points will be displayed
+(more are required for PCA) to simplify the figures. :math:`P` located
+on a closed curve embedded in 2D.
.. figure:: ../../doc/Tangential_complex/tc_example_01.png
:alt: The input
@@ -32,8 +33,7 @@ example, with :math:`k = 1` and :math:`d = 2`. The input data is 4 points
The input
-For each point :math:`p`, estimate its tangent subspace :math:`T_p` (e.g.
-using PCA).
+For each point :math:`p`, estimate its tangent subspace :math:`T_p` using PCA.
.. figure:: ../../doc/Tangential_complex/tc_example_02.png
:alt: The estimated normals