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Diffstat (limited to 'src/common/doc/main_page.h')
| -rw-r--r-- | src/common/doc/main_page.h | 165 |
1 files changed, 115 insertions, 50 deletions
diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h index e5f135db..108cf6e3 100644 --- a/src/common/doc/main_page.h +++ b/src/common/doc/main_page.h @@ -93,6 +93,24 @@ </td> </tr> </table> + \subsection CoverComplexDataStructure Cover Complexes: Nerves and Graph Induced Complexes + \image html "gicvisu.jpg" "Graph Induced Complex of a point cloud." +<table border="0"> + <tr> + <td width="25%"> + <b>Author:</b> Mathieu Carrière<br> + <b>Introduced in:</b> GUDHI 2.0.1<br> + <b>Copyright:</b> GPL v3<br> + </td> + <td width="75%"> + Nerves and Graph Induced Complexes are cover complexes, i.e. simplicial complexes that provably contain + topological information about the input data. They can be computed with a cover of the + data, that comes i.e. from the preimage of a family of intervals covering the image + of a scalar-valued function defined on the data. <br> + <b>User manual:</b> \ref cover_complex - <b>Reference manual:</b> Gudhi::cover_complex::Cover_complex + </td> + </tr> +</table> \subsection SkeletonBlockerDataStructure Skeleton blocker \image html "ds_representation.png" "Skeleton blocker representation" <table border="0"> @@ -161,7 +179,7 @@ <b>Author:</b> François Godi<br> <b>Introduced in:</b> GUDHI 2.0.0<br> <b>Copyright:</b> GPL v3<br> - <b>Requires:</b> \ref cgal ≥ 4.8.1 and \ref eigen3 + <b>Requires:</b> \ref cgal ≥ 4.8.1 </td> <td width="75%"> Bottleneck distance measures the similarity between two persistence diagrams. @@ -288,30 +306,38 @@ make doxygen * Having CGAL version 4.4.0 or higher installed is recommended. The procedure to install this library according to * your operating system is detailed here http://doc.cgal.org/latest/Manual/installation.html * - * The following examples require the <a target="_blank" href="http://www.cgal.org/">Computational Geometry Algorithms + * The following examples/utilities require the <a target="_blank" href="http://www.cgal.org/">Computational Geometry Algorithms * Library</a> (CGAL \cite cgal:eb-15b) and will not be built if CGAL is not installed: - * \li <a href="_persistent_cohomology_2alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2exact_alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2exact_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/exact_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/weighted_alpha_complex_3d_persistence.cpp</a> * \li <a href="_simplex_tree_2example_alpha_shapes_3_simplex_tree_from_off_file_8cpp-example.html"> * Simplex_tree/example_alpha_shapes_3_simplex_tree_from_off_file.cpp</a> * - * The following example requires CGAL version ≥ 4.6.0: - * \li <a href="_witness_complex_2witness_complex_sphere_8cpp-example.html"> - * Witness_complex/witness_complex_sphere.cpp</a> - * + * The following examples/utilities require CGAL version ≥ 4.6.0: + * \li <a href="_witness_complex_2strong_witness_persistence_8cpp-example.html"> + * Witness_complex/strong_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2weak_witness_persistence_8cpp-example.html"> + * Witness_complex/weak_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2example_strong_witness_complex_off_8cpp-example.html"> + * Witness_complex/example_strong_witness_complex_off.cpp</a> + * \li <a href="_witness_complex_2example_witness_complex_off_8cpp-example.html"> + * Witness_complex/example_witness_complex_off.cpp</a> + * \li <a href="_witness_complex_2example_witness_complex_sphere_8cpp-example.html"> + * Witness_complex/example_witness_complex_sphere.cpp</a> + * * The following example requires CGAL version ≥ 4.7.0: * \li <a href="_alpha_complex_2_alpha_complex_from_off_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_off.cpp</a> * \li <a href="_alpha_complex_2_alpha_complex_from_points_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_points.cpp</a> - * \li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_complex_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2alpha_complex_persistence_8cpp-example.html"> + * Alpha_complex/alpha_complex_persistence.cpp</a> + * \li <a href="_alpha_complex_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/periodic_alpha_complex_3d_persistence.cpp</a> * \li <a href="_persistent_cohomology_2custom_persistence_sort_8cpp-example.html"> * Persistent_cohomology/custom_persistence_sort.cpp</a> * @@ -320,8 +346,8 @@ make doxygen * Bottleneck_distance/alpha_rips_persistence_bottleneck_distance.cpp.cpp</a> * \li <a href="_bottleneck_distance_2bottleneck_basic_example_8cpp-example.html"> * Bottleneck_distance/bottleneck_basic_example.cpp</a> - * \li <a href="_bottleneck_distance_2bottleneck_read_file_example_8cpp-example.html"> - * Bottleneck_distance/bottleneck_read_file_example.cpp</a> + * \li <a href="_bottleneck_distance_2bottleneck_read_file_8cpp-example.html"> + * Bottleneck_distance/bottleneck_distance.cpp</a> * \li <a href="_spatial_searching_2example_spatial_searching_8cpp-example.html"> * Spatial_searching/example_spatial_searching.cpp</a> * \li <a href="_subsampling_2example_choose_n_farthest_points_8cpp-example.html"> @@ -342,19 +368,45 @@ make doxygen * <a target="_blank" href="http://eigen.tuxfamily.org/">Eigen3</a> is a C++ template library for linear algebra: * matrices, vectors, numerical solvers, and related algorithms. * - * The following example requires the <a target="_blank" href="http://eigen.tuxfamily.org/">Eigen3</a> and will not be + * The following examples/utilities require the <a target="_blank" href="http://eigen.tuxfamily.org/">Eigen3</a> and will not be * built if Eigen3 is not installed: * \li <a href="_alpha_complex_2_alpha_complex_from_off_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_off.cpp</a> * \li <a href="_alpha_complex_2_alpha_complex_from_points_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_points.cpp</a> - * \li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_complex_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2alpha_complex_persistence_8cpp-example.html"> + * Alpha_complex/alpha_complex_persistence.cpp</a> + * \li <a href="_alpha_complex_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/periodic_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_bottleneck_distance_2alpha_rips_persistence_bottleneck_distance_8cpp-example.html"> + * Bottleneck_distance/alpha_rips_persistence_bottleneck_distance.cpp.cpp</a> * \li <a href="_persistent_cohomology_2custom_persistence_sort_8cpp-example.html"> * Persistent_cohomology/custom_persistence_sort.cpp</a> - * + * \li <a href="_spatial_searching_2example_spatial_searching_8cpp-example.html"> + * Spatial_searching/example_spatial_searching.cpp</a> + * \li <a href="_subsampling_2example_choose_n_farthest_points_8cpp-example.html"> + * Subsampling/example_choose_n_farthest_points.cpp</a> + * \li <a href="_subsampling_2example_custom_kernel_8cpp-example.html"> + * Subsampling/example_custom_kernel.cpp</a> + * \li <a href="_subsampling_2example_pick_n_random_points_8cpp-example.html"> + * Subsampling/example_pick_n_random_points.cpp</a> + * \li <a href="_subsampling_2example_sparsify_point_set_8cpp-example.html"> + * Subsampling/example_sparsify_point_set.cpp</a> + * \li <a href="_tangential_complex_2example_basic_8cpp-example.html"> + * Tangential_complex/example_basic.cpp</a> + * \li <a href="_tangential_complex_2example_with_perturb_8cpp-example.html"> + * Tangential_complex/example_with_perturb.cpp</a> + * \li <a href="_witness_complex_2strong_witness_persistence_8cpp-example.html"> + * Witness_complex/strong_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2weak_witness_persistence_8cpp-example.html"> + * Witness_complex/weak_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2example_strong_witness_complex_off_8cpp-example.html"> + * Witness_complex/example_strong_witness_complex_off.cpp</a> + * \li <a href="_witness_complex_2example_witness_complex_off_8cpp-example.html"> + * Witness_complex/example_witness_complex_off.cpp</a> + * \li <a href="_witness_complex_2example_witness_complex_sphere_8cpp-example.html"> + * Witness_complex/example_witness_complex_sphere.cpp</a> + * * \subsection tbb Threading Building Blocks * <a target="_blank" href="https://www.threadingbuildingblocks.org/">Intel® TBB</a> lets you easily write parallel * C++ programs that take full advantage of multicore performance, that are portable and composable, and that have @@ -362,27 +414,35 @@ make doxygen * * Having Intel® TBB installed is recommended to parallelize and accelerate some GUDHI computations. * - * The following examples are using Intel® TBB if installed: + * The following examples/utilities are using Intel® TBB if installed: * \li <a href="_alpha_complex_2_alpha_complex_from_off_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_off.cpp</a> * \li <a href="_alpha_complex_2_alpha_complex_from_points_8cpp-example.html"> * Alpha_complex/Alpha_complex_from_points.cpp</a> + * \li <a href="_alpha_complex_2alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2alpha_complex_persistence_8cpp-example.html"> + * Alpha_complex/alpha_complex_persistence.cpp</a> + * \li <a href="_alpha_complex_2exact_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/exact_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/periodic_alpha_complex_3d_persistence.cpp</a> + * \li <a href="_alpha_complex_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> + * Alpha_complex/weighted_alpha_complex_3d_persistence.cpp</a> * \li <a href="_bitmap_cubical_complex_2_bitmap_cubical_complex_8cpp-example.html"> - * Bitmap_cubical_complex/Bitmap_cubical_complex.cpp</a> + * Bitmap_cubical_complex/cubical_complex_persistence.cpp</a> * \li <a href="_bitmap_cubical_complex_2_bitmap_cubical_complex_periodic_boundary_conditions_8cpp-example.html"> - * Bitmap_cubical_complex/Bitmap_cubical_complex_periodic_boundary_conditions.cpp</a> + * Bitmap_cubical_complex/periodic_cubical_complex_persistence.cpp</a> * \li <a href="_bitmap_cubical_complex_2_random_bitmap_cubical_complex_8cpp-example.html"> * Bitmap_cubical_complex/Random_bitmap_cubical_complex.cpp</a> - * \li <a href="_persistent_cohomology_2alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_complex_persistence.cpp</a> * \li <a href="_simplex_tree_2simple_simplex_tree_8cpp-example.html"> * Simplex_tree/simple_simplex_tree.cpp</a> * \li <a href="_simplex_tree_2example_alpha_shapes_3_simplex_tree_from_off_file_8cpp-example.html"> * Simplex_tree/example_alpha_shapes_3_simplex_tree_from_off_file.cpp</a> * \li <a href="_simplex_tree_2simplex_tree_from_cliques_of_graph_8cpp-example.html"> * Simplex_tree/simplex_tree_from_cliques_of_graph.cpp</a> + * \li <a href="_simplex_tree_2graph_expansion_with_blocker_8cpp-example.html"> + * Simplex_tree/graph_expansion_with_blocker.cpp</a> * \li <a href="_persistent_cohomology_2alpha_complex_3d_persistence_8cpp-example.html"> * Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> * \li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> @@ -395,27 +455,31 @@ make doxygen * Persistent_cohomology/persistence_from_simple_simplex_tree.cpp</a> * \li <a href="_persistent_cohomology_2plain_homology_8cpp-example.html"> * Persistent_cohomology/plain_homology.cpp</a> - * \li <a href="_persistent_cohomology_2rips_distance_matrix_persistence_8cpp-example.html"> - * Persistent_cohomology/rips_distance_matrix_persistence.cpp</a> * \li <a href="_persistent_cohomology_2rips_multifield_persistence_8cpp-example.html"> * Persistent_cohomology/rips_multifield_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2rips_persistence_8cpp-example.html"> - * Persistent_cohomology/rips_persistence.cpp</a> * \li <a href="_persistent_cohomology_2rips_persistence_step_by_step_8cpp-example.html"> * Persistent_cohomology/rips_persistence_step_by_step.cpp</a> * \li <a href="_persistent_cohomology_2exact_alpha_complex_3d_persistence_8cpp-example.html"> * Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp</a> * \li <a href="_persistent_cohomology_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> * Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> - * Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp</a> * \li <a href="_persistent_cohomology_2custom_persistence_sort_8cpp-example.html"> * Persistent_cohomology/custom_persistence_sort.cpp</a> * \li <a href="_rips_complex_2example_one_skeleton_rips_from_points_8cpp-example.html"> * Rips_complex/example_one_skeleton_rips_from_points.cpp</a> * \li <a href="_rips_complex_2example_rips_complex_from_off_file_8cpp-example.html"> * Rips_complex/example_rips_complex_from_off_file.cpp</a> - * + * \li <a href="_rips_complex_2rips_distance_matrix_persistence_8cpp-example.html"> + * Rips_complex/rips_distance_matrix_persistence.cpp</a> + * \li <a href="_rips_complex_2rips_persistence_8cpp-example.html"> + * Rips_complex/rips_persistence.cpp</a> + * \li <a href="_witness_complex_2strong_witness_persistence_8cpp-example.html"> + * Witness_complex/strong_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2weak_witness_persistence_8cpp-example.html"> + * Witness_complex/weak_witness_persistence.cpp</a> + * \li <a href="_witness_complex_2example_nearest_landmark_table_8cpp-example.html"> + * Witness_complex/example_nearest_landmark_table.cpp</a> + * * \section Contributions Bug reports and contributions * Please help us improving the quality of the GUDHI library. You may report bugs or suggestions to: * \verbatim Contact: gudhi-users@lists.gforge.inria.fr \endverbatim @@ -439,36 +503,37 @@ make doxygen /*! @file Examples * @example Alpha_complex/Alpha_complex_from_off.cpp * @example Alpha_complex/Alpha_complex_from_points.cpp + * @example Alpha_complex/alpha_complex_3d_persistence.cpp + * @example Alpha_complex/alpha_complex_persistence.cpp + * @example Alpha_complex/exact_alpha_complex_3d_persistence.cpp + * @example Alpha_complex/periodic_alpha_complex_3d_persistence.cpp + * @example Alpha_complex/weighted_alpha_complex_3d_persistence.cpp * @example Bottleneck_distance/alpha_rips_persistence_bottleneck_distance.cpp * @example Bottleneck_distance/bottleneck_basic_example.cpp - * @example Bottleneck_distance/bottleneck_read_file_example.cpp - * @example Bitmap_cubical_complex/Bitmap_cubical_complex.cpp - * @example Bitmap_cubical_complex/Bitmap_cubical_complex_periodic_boundary_conditions.cpp + * @example Bottleneck_distance/bottleneck_distance.cpp + * @example Bitmap_cubical_complex/cubical_complex_persistence.cpp + * @example Bitmap_cubical_complex/periodic_cubical_complex_persistence.cpp * @example Bitmap_cubical_complex/Random_bitmap_cubical_complex.cpp * @example common/example_CGAL_3D_points_off_reader.cpp * @example common/example_CGAL_points_off_reader.cpp * @example Contraction/Garland_heckbert.cpp * @example Contraction/Rips_contraction.cpp - * @example Persistent_cohomology/alpha_complex_3d_persistence.cpp - * @example Persistent_cohomology/alpha_complex_persistence.cpp * @example Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp - * @example Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp - * @example Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp - * @example Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp * @example Persistent_cohomology/persistence_from_file.cpp * @example Persistent_cohomology/persistence_from_simple_simplex_tree.cpp * @example Persistent_cohomology/plain_homology.cpp * @example Persistent_cohomology/rips_multifield_persistence.cpp - * @example Persistent_cohomology/rips_distance_matrix_persistence.cpp - * @example Persistent_cohomology/rips_persistence.cpp * @example Persistent_cohomology/custom_persistence_sort.cpp * @example Persistent_cohomology/rips_persistence_step_by_step.cpp * @example Rips_complex/example_one_skeleton_rips_from_points.cpp * @example Rips_complex/example_rips_complex_from_off_file.cpp + * @example Rips_complex/rips_persistence.cpp + * @example Rips_complex/rips_distance_matrix_persistence.cpp * @example Simplex_tree/mini_simplex_tree.cpp * @example Simplex_tree/simple_simplex_tree.cpp * @example Simplex_tree/example_alpha_shapes_3_simplex_tree_from_off_file.cpp * @example Simplex_tree/simplex_tree_from_cliques_of_graph.cpp + * @example Simplex_tree/graph_expansion_with_blocker.cpp * @example Skeleton_blocker/Skeleton_blocker_from_simplices.cpp * @example Skeleton_blocker/Skeleton_blocker_iteration.cpp * @example Skeleton_blocker/Skeleton_blocker_link.cpp @@ -481,9 +546,9 @@ make doxygen * @example Tangential_complex/example_with_perturb.cpp * @example Witness_complex/example_nearest_landmark_table.cpp * @example Witness_complex/example_strong_witness_complex_off.cpp - * @example Witness_complex/example_strong_witness_persistence.cpp * @example Witness_complex/example_witness_complex_off.cpp - * @example Witness_complex/example_witness_complex_persistence.cpp * @example Witness_complex/example_witness_complex_sphere.cpp + * @example Witness_complex/weak_witness_persistence.cpp + * @example Witness_complex/strong_witness_persistence.cpp */
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