src/python/doc/alpha_complex_sum.inc


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   +----------------------------------------------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------------------------+
   | .. figure::                                                    | Alpha complex is a simplicial complex constructed from the finite       | :Author: Vincent Rouvreau                                                                                                 |
   |      ../../doc/Alpha_complex/alpha_complex_representation.png  | cells of a Delaunay Triangulation.                                      |                                                                                                                           |
   |      :alt: Alpha complex representation                        |                                                                         | :Since: GUDHI 2.0.0                                                                                                       |
   |      :figclass: align-center                                   | The filtration value of each simplex is computed as the **square** of   |                                                                                                                           |
   |                                                                | the circumradius of the simplex if the circumsphere is empty (the       | :License: MIT (`GPL v3 </licensing/>`_)                                                                                   |
   |                                                                | simplex is then said to be Gabriel), and as the minimum of the          |                                                                                                                           |
   |                                                                | filtration values of the codimension 1 cofaces that make it not         | :Requires: `Eigen <installation.html#eigen>`_ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`_ :math:`\geq` 4.11.0 |
   |                                                                | Gabriel otherwise.                                                      |                                                                                                                           |
   |                                                                |                                                                         |                                                                                                                           |
   |                                                                | For performances reasons, it is advised to use CGAL :math:`\geq` 5.0.0. |                                                                                                                           |
   +----------------------------------------------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------------------------+
   | * :doc:`alpha_complex_user`                                    | * :doc:`alpha_complex_ref`                                                                                                                                                                          |
   +----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+