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Diffstat (limited to 'cython/doc/tangential_complex_user.rst')
| -rw-r--r-- | cython/doc/tangential_complex_user.rst | 17 |
1 files changed, 9 insertions, 8 deletions
diff --git a/cython/doc/tangential_complex_user.rst b/cython/doc/tangential_complex_user.rst index 03f9fea6..efa6d7ce 100644 --- a/cython/doc/tangential_complex_user.rst +++ b/cython/doc/tangential_complex_user.rst @@ -22,7 +22,7 @@ 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. -.. figure:: img/tc_example_01.png +.. figure:: ../../doc/Tangential_complex/tc_example_01.png :alt: The input :figclass: align-center @@ -31,7 +31,7 @@ example, with :math:`k = 1` and :math:`d = 2`. The input data is 4 points For each point :math:`p`, estimate its tangent subspace :math:`T_p` (e.g. using PCA). -.. figure:: img/tc_example_02.png +.. figure:: ../../doc/Tangential_complex/tc_example_02.png :alt: The estimated normals :figclass: align-center @@ -42,7 +42,7 @@ 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`. -.. figure:: img/tc_example_03.png +.. figure:: ../../doc/Tangential_complex/tc_example_03.png :alt: The Voronoi diagram :figclass: align-center @@ -62,7 +62,7 @@ simplex is not in the star of all its vertices. Let us take the same example. -.. figure:: img/tc_example_07_before.png +.. figure:: ../../doc/Tangential_complex/tc_example_07_before.png :alt: Before :figclass: align-center @@ -70,7 +70,7 @@ Let us take the same example. Let us slightly move the tangent subspace :math:`T_q` -.. figure:: img/tc_example_07_after.png +.. figure:: ../../doc/Tangential_complex/tc_example_07_after.png :alt: After :figclass: align-center @@ -79,7 +79,7 @@ Let us slightly move the tangent subspace :math:`T_q` Now, the star of :math:`Q` contains :math:`QP`, but the star of :math:`P` does not contain :math:`QP`. We have an inconsistency. -.. figure:: img/tc_example_08.png +.. figure:: ../../doc/Tangential_complex/tc_example_08.png :alt: After :figclass: align-center @@ -122,7 +122,8 @@ This example builds the Tangential complex of point set read in an OFF file. .. testcode:: import gudhi - tc = gudhi.TangentialComplex(off_file='alphacomplexdoc.off') + tc = gudhi.TangentialComplex(off_file=gudhi.__root_source_dir__ + \ + '/data/points/alphacomplexdoc.off') result_str = 'Tangential contains ' + repr(tc.num_simplices()) + \ ' simplices - ' + repr(tc.num_vertices()) + ' vertices.' print(result_str) @@ -190,6 +191,6 @@ The output is: Bibliography ============ -.. bibliography:: bibliography.bib +.. bibliography:: ../../biblio/bibliography.bib :filter: docnames :style: unsrt |