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CGAL 6.2 - Homological Discrete Vector Fields
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CGAL 6.2 - Homological Discrete Vector Fields
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#include <CGAL/HDVF/Simplicial_chain_complex.h>
CGAL::Homological_discrete_vector_field::Abstract_simplicial_chain_complex< CoefficientRing >.
The class Simplicial_chain_complex refines the Abstract_simplicial_chain_complex class by assigning coordinates to vertices (i.e. 0-simplices).
Hence, vtk output is available.
GeometricChainComplex | CoefficientRing | a model of the IntegralDomainWithoutDivision concept. |
| Traits | a geometric traits class model of the HDVFTraits concept. |
Public Types | |
| typedef Traits::Point | Point |
| Type of vertex coordinates. | |
| typedef Traits::Point3 | Point3 |
| Type of vtk export vertex coordinates. | |
 Public Types inherited from CGAL::Homological_discrete_vector_field::Abstract_simplicial_chain_complex< CoefficientRing > | |
| typedef CoefficientRing | Coefficient_ring |
| Type of coefficients used to compute homology. | |
| typedef CGAL::OSM::Sparse_chain< CoefficientRing, CGAL::OSM::COLUMN > | Column_chain |
| Type of column-major chains. | |
| typedef CGAL::OSM::Sparse_chain< CoefficientRing, CGAL::OSM::ROW > | Row_chain |
| Type of row-major chains. | |
| typedef CGAL::OSM::Sparse_matrix< CoefficientRing, CGAL::OSM::COLUMN > | Column_matrix |
| Type of column-major sparse matrices. | |
Public Member Functions | |
| Simplicial_chain_complex () | |
| Default constructor: builds an empty simplicial complex. | |
| Simplicial_chain_complex (const Mesh_object_io< Traits > &mesh) | |
| Constructor from a Mesh_object_io. | |
| Simplicial_chain_complex & | operator= (const Simplicial_chain_complex &complex) |
| Assignment operator for simplicial complexes. | |
| const std::vector< Point > & | points () const |
| Gets the vector of vertex coordinates | |
| Point | point (size_t i) const |
| Gets the coordinates of the ith dimension-0 simplex. | |
| Public Member Functions inherited from CGAL::Homological_discrete_vector_field::Abstract_simplicial_chain_complex< CoefficientRing > | |
| Abstract_simplicial_chain_complex (int q=0) | |
Default constructor (empty simplicial complex of dimension q). | |
| template<typename Traits > | |
| Abstract_simplicial_chain_complex (const Mesh_object_io< Traits > &mesh) | |
Constructor from a Mesh_object_io. | |
| Abstract_simplicial_chain_complex & | operator= (const Abstract_simplicial_chain_complex &complex) |
| Assignment operator for abstract simplicial chain complexes. | |
| Column_chain | d (size_t id_cell, int q) const |
| Returns the boundary of the cell id_cell in dimension q. | |
| Row_chain | cod (size_t id_cell, int q) const |
| Returns the co-boundary of the cell id_cell in dimension q. | |
| int | dimension () const |
| Returns the dimension of the complex. | |
| size_t | number_of_cells (int q) const |
| Returns the number of cells in a given dimension. | |
| const Simplex & | index_to_cell (size_t i, int q) const |
| Returns the simplex of index i in dimension q. | |
| size_t | cell_to_index (const Simplex &simplex) const |
| Returns the index of a given simplex. | |
| const std::vector< Column_matrix > & | boundary_matrices () const |
| Returns a constant reference to the vector of boundary matrices (along each dimension). | |
| const Column_matrix & | boundary_matrix (int q) const |
| Returns a copy of the dim-th boundary matrix (i.e. column-major matrix of \(\partial_q\)). | |
| std::vector< size_t > | bottom_faces (size_t id_cell, int q) const |
| Returns 0-simplex indices included in the cell with index id_cell of dimension q. | |
| template<typename CoefficientT , int ChainTypeF> | |
| Column_chain | cofaces_chain (OSM::Sparse_chain< CoefficientT, ChainTypeF > chain, int q) const |
Returns the cofaces of a given chain in dimension q. | |
| size_t | get_id () const |
| Get (unique) object Id. | |
Static Public Member Functions | |
| template<typename LabelType = int> | |
| static void | chain_complex_to_vtk (const Simplicial_chain_complex &K, const std::string &filename, const std::vector< std::vector< LabelType > > *labels=NULL, std::string label_type_name="int") |
| static void | chain_to_vtk (const Simplicial_chain_complex &K, const std::string &filename, const OSM::Sparse_chain< CoefficientRing, OSM::COLUMN > &chain, int q, size_t cellId=-1) |
Protected Attributes | |
| std::vector< Point > | _coords |
| Vector of vertex coordinates. | |
| Protected Attributes inherited from CGAL::Homological_discrete_vector_field::Abstract_simplicial_chain_complex< CoefficientRing > | |
| int | _dim |
| std::vector< std::vector< Simplex > > | _ind2simp |
| std::vector< std::map< Simplex, size_t > > | _simp2ind |
| std::vector< size_t > | _nb_cells |
| std::vector< Column_matrix > | _d |
Additional Inherited Members | |
| Protected Member Functions inherited from CGAL::Homological_discrete_vector_field::Abstract_simplicial_chain_complex< CoefficientRing > | |
| std::ostream & | print_complex (std::ostream &out=std::cout) const |
| void | compute_d (int q) const |
| void | insert_simplex (const Simplex &tau) |
| CGAL::Homological_discrete_vector_field::Simplicial_chain_complex< CoefficientRing, Traits >::Simplicial_chain_complex | ( | const Mesh_object_io< Traits > & | mesh | ) |
Constructor from a Mesh_object_io.
Builds a simplicial complex from a Mesh_object_io describing maximal faces and vertex coordinates.
| Simplicial_chain_complex & CGAL::Homological_discrete_vector_field::Simplicial_chain_complex< CoefficientRing, Traits >::operator= | ( | const Simplicial_chain_complex< CoefficientRing, Traits > & | complex | ) |
Assignment operator for simplicial complexes.
Stores a copy of a simplicial complex in *this.
| complex | The simplicial complex which will be copied. |
| Point CGAL::Homological_discrete_vector_field::Simplicial_chain_complex< CoefficientRing, Traits >::point | ( | size_t | i | ) | const |
Gets the coordinates of the ith dimension-0 simplex.
1.9.6