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diff --git a/doc/common/main_page.h~ b/doc/common/main_page.h~ deleted file mode 100644 index abe7398b..00000000 --- a/doc/common/main_page.h~ +++ /dev/null @@ -1,341 +0,0 @@ -/*! \mainpage - * \tableofcontents - * \image html "Gudhi_banner.png" "" width=20cm - * - * \section Introduction Introduction - * The Gudhi library (Geometry Understanding in Higher Dimensions) is a generic open source C++ library for - * Computational Topology and Topological Data Analysis - * (<a class="el" target="_blank" href="https://en.wikipedia.org/wiki/Topological_data_analysis">TDA</a>). - * The GUDHI library intends to help the development of new algorithmic solutions in TDA and their transfer to - * applications. It provides robust, efficient, flexible and easy to use implementations of state-of-the-art - * algorithms and data structures. - * - * The current release of the GUDHI library includes: - * - * \li Data structures to represent, construct and manipulate simplicial complexes. - * \li Algorithms to compute persistent homology and multi-field persistent homology. - * \li Simplication of simplicial complexes by edge contraction. - * - * All data-structures are generic and several of their aspects can be parameterized via template classes. - * We refer to \cite gudhilibrary_ICMS14 for a detailed description of the design of the library. - * - \section DataStructures Data structures - \subsection AlphaComplexDataStructure Alpha complex - \image html "alpha_complex_representation.png" "Alpha complex representation" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> Vincent Rouvreau<br> - <b>Introduced in:</b> GUDHI 1.3.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - Alpha_complex is a simplicial complex constructed from the finite cells of a Delaunay Triangulation.<br> - The filtration value of each simplex is computed as the square of the circumradius of the simplex if the - circumsphere is empty (the simplex is then said to be Gabriel), and as the minimum of the filtration - values of the codimension 1 cofaces that make it not Gabriel otherwise. - All simplices that have a filtration value strictly greater than a given alpha squared value are not inserted into - the complex.<br> - <b>User manual:</b> \ref alpha_complex - <b>Reference manual:</b> Gudhi::alphacomplex::Alpha_complex - </td> - </tr> -</table> - \subsection CubicalComplexDataStructure Cubical complex - \image html "Cubical_complex_representation.png" "Cubical complex representation" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> Pawel Dlotko<br> - <b>Introduced in:</b> GUDHI 1.3.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - The cubical complex is an example of a structured complex useful in computational mathematics (specially - rigorous numerics) and image analysis.<br> - <b>User manual:</b> \ref cubical_complex - <b>Reference manual:</b> Gudhi::Cubical_complex::Bitmap_cubical_complex - </td> - </tr> -</table> - \subsection SimplexTreeDataStructure Simplex tree - \image html "Simplex_tree_representation.png" "Simplex tree representation" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> Clément Maria<br> - <b>Introduced in:</b> GUDHI 1.0.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - The simplex tree is an efficient and flexible - data structure for representing general (filtered) simplicial complexes. The data structure - is described in \cite boissonnatmariasimplextreealgorithmica .<br> - <b>User manual:</b> \ref simplex_tree - <b>Reference manual:</b> Gudhi::Simplex_tree - </td> - </tr> -</table> - \subsection SkeletonBlockerDataStructure Skeleton blocker - \image html "ds_representation.png" "Skeleton blocker representation" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> David Salinas<br> - <b>Introduced in:</b> GUDHI 1.1.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - The Skeleton-Blocker data-structure proposes a light encoding for simplicial complexes by storing only an *implicit* - representation of its simplices \cite socg_blockers_2011,\cite blockers2012. Intuitively, it just stores the - 1-skeleton of a simplicial complex with a graph and the set of its "missing faces" that is very small in practice. - This data-structure handles all simplicial complexes operations such as simplex enumeration or simplex removal but - operations that are particularly efficient are operations that do not require simplex enumeration such as edge - iteration, link computation or simplex contraction.<br> - <b>User manual:</b> \ref skbl - <b>Reference manual:</b> Gudhi::skbl::Skeleton_blocker_complex - </td> - </tr> -</table> - \subsection WitnessComplexDataStructure Witness complex - \image html "Witness_complex_representation.png" "Witness complex representation" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> Siargey Kachanovich<br> - <b>Introduced in:</b> GUDHI 1.3.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - Witness complex \f$ Wit(W,L) \f$ is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$. - The data structure is described in \cite boissonnatmariasimplextreealgorithmica .<br> - <b>User manual:</b> \ref witness_complex - <b>Reference manual:</b> Gudhi::witness_complex::SimplicialComplexForWitness - </td> - </tr> -</table> - - \section Toolbox Toolbox - \subsection ContractionToolbox Contraction - \image html "sphere_contraction_representation.png" "Sphere contraction example" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> David Salinas<br> - <b>Introduced in:</b> GUDHI 1.1.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - The purpose of this package is to offer a user-friendly interface for edge contraction simplification of huge - simplicial complexes. It uses the \ref skbl data-structure whose size remains small during simplification of most - used geometrical complexes of topological data analysis such as the Rips or the Delaunay complexes. In practice, - the size of this data-structure is even much lower than the total number of simplices.<br> - <b>User manual:</b> \ref contr - </td> - </tr> -</table> - \subsection PersistentCohomologyToolbox Persistent Cohomology - \image html "3DTorus_poch.png" "Rips Persistent Cohomology on a 3D Torus" -<table border="0"> - <tr> - <td width="25%"> - <b>Author:</b> Clément Maria<br> - <b>Introduced in:</b> GUDHI 1.0.0<br> - <b>Copyright:</b> GPL v3<br> - </td> - <td width="75%"> - The theory of homology consists in attaching to a topological space a sequence of (homology) groups, capturing - global topological features like connected components, holes, cavities, etc. Persistent homology studies the - evolution -- birth, life and death -- of these features when the topological space is changing. Consequently, the - theory is essentially composed of three elements: topological spaces, their homology groups and an evolution - scheme. - Computation of persistent cohomology using the algorithm of \cite DBLP:journals/dcg/SilvaMV11 and - \cite DBLP:journals/corr/abs-1208-5018 and the Compressed Annotation Matrix implementation of - \cite DBLP:conf/esa/BoissonnatDM13 .<br> - <b>User manual:</b> \ref persistent_cohomology - <b>Reference manual:</b> Gudhi::persistent_cohomology::Persistent_cohomology - </td> - </tr> -</table> -*/ - -/*! \page installation Gudhi installation - * As Gudhi is a header only library, there is no need to install the library. - * - * Examples of Gudhi headers inclusion can be found in \ref demos. - * - * \section compiling Compiling - * The library uses c++11 and requires <a target="_blank" href="http://www.boost.org/">Boost</a> with version 1.48.0 or - * more recent. It is a multi-platform library and compiles on Linux, Mac OSX and Visual Studio 2015. - * - * \subsection gmp GMP: - * The multi-field persistent homology algorithm requires GMP which is a free library for arbitrary-precision - * arithmetic, operating on signed integers, rational numbers, and floating point numbers. - * - * The following example requires the <a target="_blank" href="http://gmplib.org/">GNU Multiple Precision Arithmetic - * Library</a> (GMP) and will not be built if GMP is not installed: - * \li <a href="_persistent_cohomology_2performance_rips_persistence_8cpp-example.html"> - * Persistent_cohomology/performance_rips_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2rips_multifield_persistence_8cpp-example.html"> - * Persistent_cohomology/rips_multifield_persistence.cpp</a> - * - * Having GMP version 4.2 or higher installed is recommended. - * - * \subsection cgal CGAL: - * CGAL is a C++ library which provides easy access to efficient and reliable geometric algorithms. - * - * Having CGAL version 4.4 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 - * 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="_simplex_tree_2simplex_tree_from_alpha_shapes_3_8cpp-example.html"> - * Simplex_tree/simplex_tree_from_alpha_shapes_3.cpp</a> - * \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> - * - * The following example requires CGAL version ≥ 4.6: - * \li <a href="_witness_complex_2witness_complex_sphere_8cpp-example.html"> - * Witness_complex/witness_complex_sphere.cpp</a> - * - * The following example requires CGAL version ≥ 4.7: - * \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="_persistent_cohomology_2custom_persistence_sort_8cpp-example.html"> - * Persistent_cohomology/custom_persistence_sort.cpp</a> - * - * \subsection eigen3 Eigen3: - * <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 - * 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> (requires also Eigen3) - * \li <a href="_alpha_complex_2_alpha_complex_from_points_8cpp-example.html"> - * Alpha_complex/Alpha_complex_from_points.cpp</a> (requires also Eigen3) - * \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="_persistent_cohomology_2custom_persistence_sort_8cpp-example.html"> - * Persistent_cohomology/custom_persistence_sort.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 - * future-proof scalability. - * - * Having Intel® TBB installed is recommended to parallelize and accelerate some GUDHI computations. - * - * The following examples 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="_bitmap_cubical_complex_2_bitmap_cubical_complex_8cpp-example.html"> - * Bitmap_cubical_complex/Bitmap_cubical_complex.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> - * \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_2simplex_tree_from_alpha_shapes_3_8cpp-example.html"> - * Simplex_tree/simplex_tree_from_alpha_shapes_3.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="_persistent_cohomology_2alpha_shapes_persistence_8cpp-example.html"> - * Persistent_cohomology/alpha_shapes_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2rips_persistence_via_boundary_matrix_8cpp-example.html"> - * Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp</a> - * \li <a href="_persistent_cohomology_2performance_rips_persistence_8cpp-example.html"> - * Persistent_cohomology/performance_rips_persistence.cpp</a> - * \li <a href="_persistent_cohomology_2persistence_from_file_8cpp-example.html"> - * Persistent_cohomology/persistence_from_file.cpp</a> - * \li <a href="_persistent_cohomology_2persistence_from_simple_simplex_tree_8cpp-example.html"> - * 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_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_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> - * - * \subsection demos Demos and examples - * To build the demos and examples, run the following commands in a terminal: -\verbatim cd /path-to-gudhi/ -mkdir build -cd build/ -cmake .. -make \endverbatim - * A list of examples is available <a href="examples.html">here</a>. - * - * \subsection testsuites Test suites - * To test your build, run the following command in a terminal: - * \verbatim make test \endverbatim - * - * \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 - * - * Gudhi is open to external contributions. If you want to join our development team, please contact us. - * -*/ - -/*! \page Citation Acknowledging the GUDHI library - * We kindly ask users to cite the GUDHI library as appropriately as possible in their papers, and to mention the use - * of the GUDHI library on the web pages of their projects using GUDHI and provide us with links to these web pages. - * Feel free to contact us in case you have any question or remark on this topic. - * - * We provide \ref GudhiBibtex entries for the modules of the User and Reference Manual, as well as for publications - * directly related to the GUDHI library. - * \section GudhiBibtex GUDHI bibtex - * \verbinclude biblio/how_to_cite_gudhi.bib -*/ - -// List of Gudhi examples - Doxygen needs at least a file tag to analyse comments -/*! @file Examples - * @example Alpha_complex/Alpha_complex_from_off.cpp - * @example Alpha_complex/Alpha_complex_from_points.cpp - * @example Bitmap_cubical_complex/Bitmap_cubical_complex.cpp - * @example Bitmap_cubical_complex/Bitmap_cubical_complex_periodic_boundary_conditions.cpp - * @example Bitmap_cubical_complex/Random_bitmap_cubical_complex.cpp - * @example common/CGAL_3D_points_off_reader.cpp - * @example common/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/performance_rips_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_persistence.cpp - * @example Persistent_cohomology/custom_persistence_sort.cpp - * @example Simplex_tree/mini_simplex_tree.cpp - * @example Simplex_tree/simple_simplex_tree.cpp - * @example Simplex_tree/simplex_tree_from_alpha_shapes_3.cpp - * @example Simplex_tree/simplex_tree_from_cliques_of_graph.cpp - * @example Skeleton_blocker/Skeleton_blocker_from_simplices.cpp - * @example Skeleton_blocker/Skeleton_blocker_iteration.cpp - * @example Skeleton_blocker/Skeleton_blocker_link.cpp - * @example Witness_complex/witness_complex_from_file.cpp - * @example Witness_complex/witness_complex_sphere.cpp - */ - |