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diff --git a/src/cython/doc/alpha_complex_sum.rst b/src/cython/doc/alpha_complex_sum.rst new file mode 100644 index 00000000..b608050e --- /dev/null +++ b/src/cython/doc/alpha_complex_sum.rst @@ -0,0 +1,21 @@ +===================================== ===================================== ===================================== +:Author: Vincent Rouvreau :Introduced in: GUDHI PYTHON 1.4.0 :Copyright: GPL v3 +===================================== ===================================== ===================================== + ++-------------------------------------------+----------------------------------------------------------------------+ +| .. 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` | ++-------------------------------------------+----------------------------------------------------------------------+ |