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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 ≥ 5.0.0. | |
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| * :doc:`alpha_complex_user` | * :doc:`alpha_complex_ref` |
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