=================================================================  ===================================  ===================================
:Author: Vincent Rouvreau                                          :Introduced in: GUDHI 2.0.0          :Copyright: GPL v3
:Requires: CGAL :math:`\geq` 4.7.0                                 Eigen3
=================================================================  ===================================  ===================================

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| .. figure::                                                    | Alpha_complex is a simplicial complex constructed from the finite      |
|      ../../doc/Alpha_complex/alpha_complex_representation.png  | cells of a Delaunay Triangulation.                                     |
|      :alt: Alpha complex representation                        |                                                                        |
|      :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 simplex  |
|      Alpha complex representation                              | is then said to be Gabriel), and as the minimum of the filtration      |
|                                                                | values of the codimension 1 cofaces that make it not Gabriel           |
|                                                                | otherwise. All simplices that have a filtration value strictly         |
|                                                                | greater than a given alpha squared value are not inserted into the     |
|                                                                | complex.                                                               |
|                                                                |                                                                        |
|                                                                | This package requires having CGAL version 4.7 or higher (4.8.1 is      |
|                                                                | advised for better performance).                                       |
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| :doc:`alpha_complex_user`                                      | :doc:`alpha_complex_ref`                                               |
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