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| author | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2021-04-08 08:56:35 +0200 |
|---|---|---|
| committer | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2021-04-08 08:56:35 +0200 |
| commit | 10b04732e032f0b45542c6d08d4d774bce7ddc23 (patch) | |
| tree | d9fc8e52361f5a110c923d13b43cb4890456da78 /src/python/doc/alpha_complex_user.rst | |
| parent | d79ef2f79c33d8e8b8fd88e16f30e16433ab6644 (diff) | |
Some documentation for alpha complex 3d specific version
Diffstat (limited to 'src/python/doc/alpha_complex_user.rst')
| -rw-r--r-- | src/python/doc/alpha_complex_user.rst | 12 |
1 files changed, 9 insertions, 3 deletions
diff --git a/src/python/doc/alpha_complex_user.rst b/src/python/doc/alpha_complex_user.rst index 2b4b75cf..13187f1f 100644 --- a/src/python/doc/alpha_complex_user.rst +++ b/src/python/doc/alpha_complex_user.rst @@ -9,7 +9,7 @@ Definition .. include:: alpha_complex_sum.inc -:doc:`AlphaComplex <alpha_complex_ref>` is constructing a :doc:`SimplexTree <simplex_tree_ref>` using +:class:`~gudhi.AlphaComplex` is constructing a :doc:`SimplexTree <simplex_tree_ref>` using `Delaunay Triangulation <http://doc.cgal.org/latest/Triangulation/index.html#Chapter_Triangulations>`_ :cite:`cgal:hdj-t-19b` from the `Computational Geometry Algorithms Library <http://www.cgal.org/>`_ :cite:`cgal:eb-19b`. @@ -176,8 +176,6 @@ In the following example, a threshold of :math:`\alpha^2 = 32.0` is used. Weighted specific version ^^^^^^^^^^^^^^^^^^^^^^^^^ -:Requires: `Eigen <installation.html#eigen>`_ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`_ :math:`\geq` 5.1.0. - A weighted version for Alpha complex is available. It is like a usual Alpha complex, but based on a `CGAL regular triangulation <https://doc.cgal.org/latest/Triangulation/index.html#title20>`_ of Delaunay. @@ -259,3 +257,11 @@ Then, it computes the persistence diagram and displays it: dgm = stree.persistence() gd.plot_persistence_diagram(dgm, legend = True) plt.show() + +3d specific version +^^^^^^^^^^^^^^^^^^^ + +:Requires: `Eigen <installation.html#eigen>`_ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`_ :math:`\geq` 4.11.0. + +A specific module for Alpha complex is available in 3d (cf. :class:`~gudhi.AlphaComplex3D`) and +allows to construct standard and weighted versions of alpha complexes.
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