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| author | glisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2017-03-26 11:32:25 +0000 |
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| committer | glisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2017-03-26 11:32:25 +0000 |
| commit | 1208d423e700764a3453767886e6a3b4c0a09125 (patch) | |
| tree | 3e938a2e1e984e80e1137fd30968e385068ec8e4 /src/cython/doc/alpha_complex_sum.rst | |
| parent | 6f9560fe6d6cca6c5a0de35fcf7938912e103930 (diff) | |
| parent | 6ed42daddfede2288bc02ab2e98fc12b47cac74e (diff) | |
merge from trunk
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/farthest_distance@2244 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 7d261d59dae839dd5de8f6a03c5a167d015f7d85
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` | ++----------------------------------------------------------------+------------------------------------------------------------------------+ |