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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-04-15 13:30:53 +0000 |
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| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-04-15 13:30:53 +0000 |
| commit | ea216e9c11bf58ba32be89ab561b3a2396b7377c (patch) | |
| tree | 42a41830f9291c491867cc52daee2a6ee698eb5d /src/Persistent_cohomology/example/README | |
| parent | 91e58d98e81963ac714ec6c9508c5bc15945f20b (diff) | |
Filtration values are alpha square values for periodic_alpha_complex_3d
Mention it in README
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/periodic_alpha_complex_3d@1127 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 6085fc3e79db765c041a06d6d05dd3d28685f7bd
Diffstat (limited to 'src/Persistent_cohomology/example/README')
| -rw-r--r-- | src/Persistent_cohomology/example/README | 33 |
1 files changed, 21 insertions, 12 deletions
diff --git a/src/Persistent_cohomology/example/README b/src/Persistent_cohomology/example/README index f490ed9a..7803e5ab 100644 --- a/src/Persistent_cohomology/example/README +++ b/src/Persistent_cohomology/example/README @@ -79,7 +79,8 @@ Betti numbers[0] = 1 Betti numbers[1] = 2 Betti numbers[2] = 1 -N.B.: alpha_complex_3d_persistence accepts only OFF files in 3D dimension. +N.B.: - alpha_complex_3d_persistence accepts only OFF files in 3D dimension. + - filtration values are alpha square values 2) d-Dimension case ------------------- @@ -101,7 +102,8 @@ Betti numbers[0] = 1 Betti numbers[1] = 2 Betti numbers[2] = 1 -N.B.: alpha_complex_persistence accepts OFF files in d-Dimension. +N.B.: - alpha_complex_persistence accepts OFF files in d-Dimension. + - filtration values are alpha square values 3) 3D periodic special case --------------------------- @@ -110,17 +112,24 @@ N.B.: alpha_complex_persistence accepts OFF files in d-Dimension. output: Periodic Delaunay computed. Simplex_tree dim: 3 -3 0 0 inf -3 1 0.05 inf -3 1 0.05 inf -3 1 0.05 inf -3 2 0.0707107 inf -3 2 0.0707107 inf -3 2 0.0707107 inf -3 3 0.0866025 inf - -N.B.: periodic_alpha_complex_3d_persistence accepts only OFF files in 3D dimension. In this example, the periodic cube +3 0 0 inf +3 1 0.0025 inf +3 1 0.0025 inf +3 1 0.0025 inf +3 2 0.005 inf +3 2 0.005 inf +3 2 0.005 inf +3 3 0.0075 inf + +Here we retrieve expected Betti numbers on a tore 3D: +Betti numbers[0] = 1 +Betti numbers[1] = 3 +Betti numbers[2] = 3 +Betti numbers[3] = 1 + +N.B.: - periodic_alpha_complex_3d_persistence accepts only OFF files in 3D dimension. In this example, the periodic cube is hard coded to { x = [0,1]; y = [0,1]; z = [0,1] } + - filtration values are alpha square values *********************************************************************************************************************** Example of use of PLAIN HOMOLOGY: |