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Diffstat (limited to 'cython/doc/alpha_complex_sum.inc')
| -rw-r--r-- | cython/doc/alpha_complex_sum.inc | 22 |
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diff --git a/cython/doc/alpha_complex_sum.inc b/cython/doc/alpha_complex_sum.inc new file mode 100644 index 00000000..1680a712 --- /dev/null +++ b/cython/doc/alpha_complex_sum.inc @@ -0,0 +1,22 @@ +================================================================= =================================== =================================== +:Author: Vincent Rouvreau :Introduced in: GUDHI 2.0.0 :Copyright: GPL v3 +:Requires: CGAL :math:`\geq` 4.7.0 Eigen3 +================================================================= =================================== =================================== + ++----------------------------------------------------------------+------------------------------------------------------------------------+ +| .. 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). | ++----------------------------------------------------------------+------------------------------------------------------------------------+ +| :doc:`alpha_complex_user` | :doc:`alpha_complex_ref` | ++----------------------------------------------------------------+------------------------------------------------------------------------+ |