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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: |