From 3ec4014f39c514aa456a652bc0d876fba70ad6f9 Mon Sep 17 00:00:00 2001 From: ROUVREAU Vincent Date: Thu, 14 Mar 2019 18:05:11 +0100 Subject: Fix code review --- src/cython/doc/tangential_complex_user.rst | 13 +++++++------ 1 file changed, 7 insertions(+), 6 deletions(-) (limited to 'src/cython') diff --git a/src/cython/doc/tangential_complex_user.rst b/src/cython/doc/tangential_complex_user.rst index 5147797c..11b37009 100644 --- a/src/cython/doc/tangential_complex_user.rst +++ b/src/cython/doc/tangential_complex_user.rst @@ -23,9 +23,10 @@ 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`. 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. +example, with :math:`k = 1` and :math:`d = 2`. The point set +:math:`\mathscr P` is located on a closed curve embedded in 2D. +Only 4 points will be displayed (more are required for PCA) to simplify the +figures. .. figure:: ../../doc/Tangential_complex/tc_example_01.png :alt: The input @@ -33,7 +34,7 @@ on a closed curve embedded in 2D. 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 @@ -43,8 +44,8 @@ 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:`P` -restricted to :math:`T_p`. +:math:`P`, construct its star in the Delaunay triangulation of +:math:`\mathscr P` restricted to :math:`T_p`. .. figure:: ../../doc/Tangential_complex/tc_example_03.png :alt: The Voronoi diagram -- cgit v1.2.3