A class that constructs the cell complex from the output provided by the class Gudhi::coxeter_triangulation::Manifold_tracing.
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#include <include/gudhi/Coxeter_triangulation/Cell_complex/Cell_complex.h>
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using | Simplex_handle = typename Out_simplex_map_::key_type |
| | Type of a simplex in the ambient triangulation. Is a model of the concept SimplexInCoxeterTriangulation.
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using | Hasse_cell = Gudhi::Hasse_diagram::Hasse_diagram_cell< int, double, bool > |
| | Type of a cell in the cell complex. Always is Gudhi::Hasse_cell from the Hasse diagram module. The additional information is the boolean that is true if and only if the cell lies on the boundary.
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using | Simplex_cell_map = std::map< Simplex_handle, Hasse_cell *, Simplex_comparator< Simplex_handle > > |
| | Type of a map from permutahedral representations of simplices in the ambient triangulation to the corresponding cells in the cell complex of some specific dimension.
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using | Simplex_cell_maps = std::vector< Simplex_cell_map > |
| | Type of a vector of maps from permutahedral representations of simplices in the ambient triangulation to the corresponding cells in the cell complex of various dimensions.
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using | Cell_simplex_map = std::map< Hasse_cell *, Simplex_handle > |
| | Type of a map from cells in the cell complex to the permutahedral representations of the corresponding simplices in the ambient triangulation.
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using | Cell_point_map = std::map< Hasse_cell *, Eigen::VectorXd > |
| | Type of a map from vertex cells in the cell complex to the permutahedral representations of their Cartesian coordinates.
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| void | construct_complex (const Out_simplex_map_ &out_simplex_map) |
| | Constructs the the cell complex that approximates an \(m\)-dimensional manifold without boundary embedded in the \( d \)-dimensional Euclidean space from the output of the class Gudhi::Manifold_tracing. More...
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| void | construct_complex (const Out_simplex_map_ &out_simplex_map, std::size_t limit_dimension) |
| | Constructs the skeleton of the cell complex that approximates an \(m\)-dimensional manifold without boundary embedded in the \(d\)-dimensional Euclidean space up to a limit dimension from the output of the class Gudhi::Manifold_tracing. More...
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| void | construct_complex (const Out_simplex_map_ &interior_simplex_map, const Out_simplex_map_ &boundary_simplex_map) |
| | Constructs the the cell complex that approximates an \(m\)-dimensional manifold with boundary embedded in the \( d \)-dimensional Euclidean space from the output of the class Gudhi::Manifold_tracing. More...
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| void | construct_complex (const Out_simplex_map_ &interior_simplex_map, const Out_simplex_map_ &boundary_simplex_map, std::size_t limit_dimension) |
| | Constructs the skeleton of the cell complex that approximates an \(m\)-dimensional manifold with boundary embedded in the \(d\)-dimensional Euclidean space up to a limit dimension from the output of the class Gudhi::Manifold_tracing. More...
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std::size_t | intrinsic_dimension () const |
| | Returns the dimension of the cell complex.
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const Simplex_cell_maps & | interior_simplex_cell_maps () const |
| | Returns a vector of maps from the cells of various dimensions in the interior of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation.
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const Simplex_cell_maps & | boundary_simplex_cell_maps () const |
| | Returns a vector of maps from the cells of various dimensions on the boundary of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation.
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| const Simplex_cell_map & | interior_simplex_cell_map (std::size_t cell_d) const |
| | Returns a map from the cells of a given dimension in the interior of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation. More...
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| const Simplex_cell_map & | boundary_simplex_cell_map (std::size_t cell_d) const |
| | Returns a map from the cells of a given dimension on the boundary of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation. More...
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const Cell_simplex_map & | cell_simplex_map () const |
| | Returns a map from the cells in the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation.
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const Cell_point_map & | cell_point_map () const |
| | Returns a map from the vertex cells in the cell complex of type Gudhi::Hasse_cell to their Cartesian coordinates.
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| | Cell_complex (std::size_t intrinsic_dimension) |
| | Constructor for the class Cell_complex. More...
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template<class Out_simplex_map_>
class Gudhi::coxeter_triangulation::Cell_complex< Out_simplex_map_ >
A class that constructs the cell complex from the output provided by the class Gudhi::coxeter_triangulation::Manifold_tracing.
The use and interfaces of this cell complex is limited to the Coxeter triangulation implementation.
- Template Parameters
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◆ Cell_complex()
template<class Out_simplex_map_ >
Constructor for the class Cell_complex.
- Parameters
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| [in] | intrinsic_dimension | The dimension of the cell complex. |
◆ boundary_simplex_cell_map()
template<class Out_simplex_map_ >
Returns a map from the cells of a given dimension on the boundary of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation.
- Parameters
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| [in] | cell_d | The dimension of the cells. |
◆ construct_complex() [1/4]
template<class Out_simplex_map_ >
Constructs the the cell complex that approximates an \(m\)-dimensional manifold with boundary embedded in the \( d \)-dimensional Euclidean space from the output of the class Gudhi::Manifold_tracing.
- Parameters
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| [in] | interior_simplex_map | A map from simplices of dimension \((d-m)\) in the ambient triangulation that intersect the relative interior of the manifold to the intersection points. |
| [in] | boundary_simplex_map | A map from simplices of dimension \((d-m+1)\) in the ambient triangulation that intersect the boundary of the manifold to the intersection points. |
◆ construct_complex() [2/4]
template<class Out_simplex_map_ >
| void Gudhi::coxeter_triangulation::Cell_complex< Out_simplex_map_ >::construct_complex |
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const Out_simplex_map_ & |
interior_simplex_map, |
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const Out_simplex_map_ & |
boundary_simplex_map, |
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std::size_t |
limit_dimension |
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Constructs the skeleton of the cell complex that approximates an \(m\)-dimensional manifold with boundary embedded in the \(d\)-dimensional Euclidean space up to a limit dimension from the output of the class Gudhi::Manifold_tracing.
- Parameters
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| [in] | interior_simplex_map | A map from simplices of dimension \((d-m)\) in the ambient triangulation that intersect the relative interior of the manifold to the intersection points. |
| [in] | boundary_simplex_map | A map from simplices of dimension \((d-m+1)\) in the ambient triangulation that intersect the boundary of the manifold to the intersection points. |
| [in] | limit_dimension | The dimension of the constructed skeleton. |
◆ construct_complex() [3/4]
template<class Out_simplex_map_ >
Constructs the the cell complex that approximates an \(m\)-dimensional manifold without boundary embedded in the \( d \)-dimensional Euclidean space from the output of the class Gudhi::Manifold_tracing.
- Parameters
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| [in] | out_simplex_map | A map from simplices of dimension \((d-m)\) in the ambient triangulation that intersect the relative interior of the manifold to the intersection points. |
◆ construct_complex() [4/4]
template<class Out_simplex_map_ >
Constructs the skeleton of the cell complex that approximates an \(m\)-dimensional manifold without boundary embedded in the \(d\)-dimensional Euclidean space up to a limit dimension from the output of the class Gudhi::Manifold_tracing.
- Parameters
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| [in] | out_simplex_map | A map from simplices of dimension \((d-m)\) in the ambient triangulation that intersect the relative interior of the manifold to the intersection points. |
| [in] | limit_dimension | The dimension of the constructed skeleton. |
◆ interior_simplex_cell_map()
template<class Out_simplex_map_ >
Returns a map from the cells of a given dimension in the interior of the cell complex of type Gudhi::Hasse_cell to the permutahedral representations of the corresponding simplices in the ambient triangulation.
- Parameters
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| [in] | cell_d | The dimension of the cells. |
The documentation for this class was generated from the following file:
