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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2017-04-01 08:59:44 +0000 |
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| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2017-04-01 08:59:44 +0000 |
| commit | 39cd1e8ab33bd069236649edc10459925cea83f4 (patch) | |
| tree | 23c2138114ebcdfa6c75daf0a0268a1eaa0049ad /src/cython/doc/alpha_complex_sum.rst | |
| parent | 5084fc612a5f8ed47a80771785e5c26ee4e42d94 (diff) | |
| parent | dd108b5a6c620b10675b7ebaf8d1561c2c165bf2 (diff) | |
Merge last trunk modifications and fix new rips interface
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/gudhi_stat@2299 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 1e836cba1a372f609e94b66b6db512817a3d875e
Diffstat (limited to 'src/cython/doc/alpha_complex_sum.rst')
| -rw-r--r-- | src/cython/doc/alpha_complex_sum.rst | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/src/cython/doc/alpha_complex_sum.rst b/src/cython/doc/alpha_complex_sum.rst new file mode 100644 index 00000000..8437e901 --- /dev/null +++ b/src/cython/doc/alpha_complex_sum.rst @@ -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 | +| img/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 perfomances). | ++----------------------------------------------------------------+------------------------------------------------------------------------+ +| :doc:`alpha_complex_user` | :doc:`alpha_complex_ref` | ++----------------------------------------------------------------+------------------------------------------------------------------------+ |