diff options
Diffstat (limited to 'src/Persistent_cohomology/doc/Intro_persistent_cohomology.h')
| -rw-r--r-- | src/Persistent_cohomology/doc/Intro_persistent_cohomology.h | 39 |
1 files changed, 20 insertions, 19 deletions
diff --git a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h index e17e5926..62bbbfc5 100644 --- a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h +++ b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h @@ -143,8 +143,8 @@ namespace persistent_cohomology { We provide several example files: run these examples with -h for details on their use, and read the README file. -\li <a href="_persistent_cohomology_2rips_persistence_8cpp-example.html"> -Persistent_cohomology/rips_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence +\li <a href="_rips_complex_2rips_persistence_8cpp-example.html"> +Rips_complex/rips_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence diagram. \code $> ./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3 \endcode \code The complex contains 177838 simplices @@ -158,12 +158,12 @@ diagram. Persistent_cohomology/rips_multifield_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence diagram with a family of field coefficients. -\li <a href="_persistent_cohomology_2rips_distance_matrix_persistence_8cpp-example.html"> -Persistent_cohomology/rips_distance_matrix_persistence.cpp</a> computes the Rips complex of a distance matrix and +\li <a href="_rips_complex_2rips_distance_matrix_persistence_8cpp-example.html"> +Rips_complex/rips_distance_matrix_persistence.cpp</a> computes the Rips complex of a distance matrix and outputs its persistence diagram. -\li <a href="_persistent_cohomology_2alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. \code $> ./alpha_complex_3d_persistence ../../data/points/tore3D_300.off 2 0.45 \endcode \code Simplex_tree dim: 3 @@ -172,8 +172,8 @@ Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> computes the persiste 2 1 0.0934117 1.00003 2 2 0.56444 1.03938 \endcode -\li <a href="_persistent_cohomology_2exact_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2exact_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/exact_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. Here, as CGAL computes the exact values, it is slower, but it is necessary when points are on a grid for instance. @@ -182,20 +182,20 @@ for instance. 2 0 0 inf 2 2 0.0002 0.2028 \endcode -\li <a href="_persistent_cohomology_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/weighted_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the weighted alpha complex on points sampling from an OFF file and a weights file. \code $> ./weighted_alpha_complex_3d_persistence ../../data/points/tore3D_300.off ../../data/points/tore3D_300.weights 2 0.45 \endcode \code Simplex_tree dim: 3 -2 -0 0 inf -2 1 0.0682162 1.0001 -2 1 0.0934117 1.00003 -2 2 0.56444 1.03938 \endcode +2 0 -1 inf +2 1 -0.931784 0.000103311 +2 1 -0.906588 2.60165e-05 +2 2 -0.43556 0.0393798 \endcode -\li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> -Persistent_cohomology/alpha_complex_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2alpha_complex_persistence_8cpp-example.html"> +Alpha_complex/alpha_complex_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/p\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. \code $> ./alpha_complex_persistence -r 32 -p 2 -m 0.45 ../../data/points/tore3D_300.off \endcode \code Alpha complex is of dimension 3 - 9273 simplices - 300 vertices. @@ -205,10 +205,11 @@ Simplex_tree dim: 3 2 1 0.0934117 1.00003 2 2 0.56444 1.03938 \endcode -\li <a href="_persistent_cohomology_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/periodic_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the periodic alpha complex on points sampling from an OFF file. -\code $> ./periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off 3 1.0 \endcode +\code $> ./periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off +../../data/points/iso_cuboid_3_in_0_1.txt 3 1.0 \endcode \code Periodic Delaunay computed. Simplex_tree dim: 3 3 0 0 inf |