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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-04-10 15:44:18 +0000 |
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| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-04-10 15:44:18 +0000 |
| commit | 9afff26c8f15121aa58eb1a1beacffc2a38cd477 (patch) | |
| tree | 618f942586d33b6ee7da275911458326cc2f571d /src/Alpha_complex/doc/Intro_alpha_complex.h | |
| parent | f70b243734ccc904f75937b90a90db45203ba8ec (diff) | |
Doc review : Add explanation when to use Alpha or Cech.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/cechcomplex_vincent@3369 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 4b6cf58478a7dbe1825491681507d4304d8f3584
Diffstat (limited to 'src/Alpha_complex/doc/Intro_alpha_complex.h')
| -rw-r--r-- | src/Alpha_complex/doc/Intro_alpha_complex.h | 8 |
1 files changed, 6 insertions, 2 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h index a08663ca..a1092068 100644 --- a/src/Alpha_complex/doc/Intro_alpha_complex.h +++ b/src/Alpha_complex/doc/Intro_alpha_complex.h @@ -57,9 +57,13 @@ namespace alpha_complex { * href="http://doc.cgal.org/latest/Kernel_d/index.html#Chapter_dD_Geometry_Kernel">dD Geometry Kernel</a> * \cite cgal:s-gkd-15b from CGAL as template parameter. * - * \remark When the simplicial complex is constructed with an infinite value of alpha, the complex is a Delaunay + * \remark + * - When the simplicial complex is constructed with an infinite value of alpha, the complex is a Delaunay * complex. - * + * - For people only interested in the topology of the \ref alpha_complex (for instance persistence), + * \ref alpha_complex is equivalent to the \ref cech_complex and much smaller if you do not bound the radii. + * \ref cech_complex can still make sense in higher dimension precisely because you can bound the radii. + * * \section pointsexample Example from points * * This example builds the Delaunay triangulation from the given points in a 2D static kernel, and creates a |