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diff --git a/src/python/doc/alpha_complex_sum.inc b/src/python/doc/alpha_complex_sum.inc new file mode 100644 index 00000000..c5ba9dc7 --- /dev/null +++ b/src/python/doc/alpha_complex_sum.inc @@ -0,0 +1,20 @@ +.. table:: + :widths: 30 50 20 + + +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+ + | .. 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 | | :Introduced in: 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 simplex | :Copyright: MIT (`GPL v3 </licensing/>`_) | + | | is then said to be Gabriel), and as the minimum of the filtration | | + | | values of the codimension 1 cofaces that make it not Gabriel | :Requires: `Eigen <installation.html#eigen>`__ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`__ :math:`\geq` 4.11.0 | + | | 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). | | + +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+ + | * :doc:`alpha_complex_user` | * :doc:`alpha_complex_ref` | + +----------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |