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author | Gard Spreemann <gspreemann@gmail.com> | 2018-06-15 12:34:03 +0200 |
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committer | Gard Spreemann <gspreemann@gmail.com> | 2018-06-15 12:34:03 +0200 |
commit | 41482b4260b4aff3d6803e340d5c94fbefb9af67 (patch) | |
tree | 89eae43dcb3fd4ab040e96f3d5479427d8cd2c7f /cython/doc/alpha_complex_sum.inc | |
parent | 41a1b8c2728e212c832c0384c8bb424139a247cf (diff) | |
parent | c524232f734de875d69e2f190f01a6c976024368 (diff) |
Merge branch 'upstream/latest' into dfsg/latest
Diffstat (limited to 'cython/doc/alpha_complex_sum.inc')
-rw-r--r-- | cython/doc/alpha_complex_sum.inc | 22 |
1 files changed, 22 insertions, 0 deletions
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` | ++----------------------------------------------------------------+------------------------------------------------------------------------+ |