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authorROUVREAU Vincent <vincent.rouvreau@inria.fr>2019-03-15 08:32:37 +0100
committerROUVREAU Vincent <vincent.rouvreau@inria.fr>2019-03-15 08:32:37 +0100
commitfe79987e03b5bce4515638f8d0549ae8db64f3e6 (patch)
tree8d81540f1a8ac5f106a2b542436825bdf922b3aa /src
parent3ec4014f39c514aa456a652bc0d876fba70ad6f9 (diff)
Fix code review
Diffstat (limited to 'src')
-rw-r--r--src/Tangential_complex/doc/Intro_tangential_complex.h6
-rw-r--r--src/cython/doc/tangential_complex_user.rst6
2 files changed, 6 insertions, 6 deletions
diff --git a/src/Tangential_complex/doc/Intro_tangential_complex.h b/src/Tangential_complex/doc/Intro_tangential_complex.h
index 2b019021..501f4a8b 100644
--- a/src/Tangential_complex/doc/Intro_tangential_complex.h
+++ b/src/Tangential_complex/doc/Intro_tangential_complex.h
@@ -51,10 +51,10 @@ Let us start with the description of the Tangential complex of a simple example,
The point set \f$ \mathscr P \f$ is located on a closed curve embedded in 2D.
Only 4 points will be displayed (more are required for PCA) to simplify the figures.
\image html "tc_example_01.png" "The input"
-For each point \f$ P \f$, estimate its tangent subspace \f$ T_p \f$ 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$, construct its star in the Delaunay
-triangulation of \f$ \mathscr P \f$ restricted to \f$ T_p \f$.
+triangulation of \f$ \mathscr P \f$ restricted to \f$ T_P \f$.
\image html "tc_example_03.png" "The Voronoi diagram"
The Tangential Delaunay complex is the union of those stars.
@@ -69,7 +69,7 @@ An inconsistency occurs when a simplex is not in the star of all its vertices.
Let us take the same example.
\image html "tc_example_07_before.png" "Before"
-Let us slightly move the tangent subspace \f$ T_q \f$
+Let us slightly move the tangent subspace \f$ T_Q \f$
\image html "tc_example_07_after.png" "After"
Now, the star of \f$ Q \f$ contains \f$ QP \f$, but the star of \f$ P \f$ does not contain \f$ QP \f$. We have an inconsistency.
\image html "tc_example_08.png" "After"
diff --git a/src/cython/doc/tangential_complex_user.rst b/src/cython/doc/tangential_complex_user.rst
index 11b37009..ebfe1e29 100644
--- a/src/cython/doc/tangential_complex_user.rst
+++ b/src/cython/doc/tangential_complex_user.rst
@@ -34,7 +34,7 @@ figures.
The input
-For each point :math:`P`, estimate its tangent subspace :math:`T_p` 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
@@ -45,7 +45,7 @@ For each point :math:`P`, estimate its tangent subspace :math:`T_p` using PCA.
Let us add the Voronoi diagram of the points in orange. For each point
:math:`P`, construct its star in the Delaunay triangulation of
-:math:`\mathscr P` restricted to :math:`T_p`.
+:math:`\mathscr P` restricted to :math:`T_P`.
.. figure:: ../../doc/Tangential_complex/tc_example_03.png
:alt: The Voronoi diagram
@@ -73,7 +73,7 @@ Let us take the same example.
Before
-Let us slightly move the tangent subspace :math:`T_q`
+Let us slightly move the tangent subspace :math:`T_Q`
.. figure:: ../../doc/Tangential_complex/tc_example_07_after.png
:alt: After