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===================================== ===================================== =====================================
:Author: Vincent Rouvreau :Introduced in: GUDHI 1.3.0 :Copyright: GPL v3
===================================== ===================================== =====================================
:Requires: CGAL &ge 4.7.0 Eigen3
===================================== ===================================== =====================================
+-------------------------------------------+----------------------------------------------------------------------+
| .. image:: | Alpha_complex is a simplicial complex constructed from the finite |
| img/alpha_complex_representation.png | cells of a Delaunay Triangulation. |
| | |
| | The filtration value of each simplex is computed as the square of the|
| | circumradius of the simplex if the circumsphere is empty (the simplex|
| | 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 perfomances). |
+-------------------------------------------+----------------------------------------------------------------------+
| :doc:`alpha_complex_user` | :doc:`alpha_complex_ref` |
+-------------------------------------------+----------------------------------------------------------------------+
|
