CGAL 4.7 - Combinatorial Maps: Constructions

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - Combinatorial Maps

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
Functions
Constructions
Combinatorial Maps Reference

##

Basic constructions.

#include <CGAL/Combinatorial_map_constructors.h>

## Functions

template<class CMap >
CMap::Dart_handle | CGAL::make_combinatorial_hexahedron (CMap &cm)
| Creates a combinatorial hexahedron (six combinatorial quadrangles linked together by \( \beta_2\)), and adds it in `cm`. More...
template<class CMap >
CMap::Dart_handle | CGAL::make_combinatorial_polygon (CMap &cm, unsigned int lg)
| Creates a combinatorial polygon of length `lg` (`lg` darts linked by \( \beta_1\)), and adds it in `cm`. More...
template<class CMap >
CMap::Dart_handle | CGAL::make_combinatorial_tetrahedron (CMap &cm)
| Creates a combinatorial tetrahedron (four combinatorial triangles linked together by \( \beta_2\)), and adds it in `cm`. More...
template<class CMap >
CMap::Dart_handle | CGAL::make_edge (CMap &cm)
| Creates an isolated edge (two darts linked by \( \beta_2\)) and adds it in `cm`. More...

## Function Documentation

template<class CMap >

CMap::Dart_handle CGAL::make_combinatorial_hexahedron | ( | CMap & | cm) |  |

Creates a combinatorial hexahedron (six combinatorial quadrangles linked together by \( \beta_2\)), and adds it in `cm`.

Returns a handle on one dart of this combinatorial hexahedron.

Precondition
  `CMap::dimension` \(\geq\) 2.

See Also
  `CGAL::make_edge<CMap>`
  `CGAL::make_combinatorial_polygon<CMap>`
  `CGAL::make_combinatorial_tetrahedron<CMap>`

`#include <CGAL/Combinatorial_map_constructors.h>`

Examples:
  Combinatorial_map/map_3_dynamic_onmerge.cpp, Combinatorial_map/map_3_operations.cpp, and Combinatorial_map/map_3_with_colored_facets.cpp.

template<class CMap >

CMap::Dart_handle CGAL::make_combinatorial_polygon | ( | CMap & | cm,
|  | unsigned int | lg
| ) |  |

Creates a combinatorial polygon of length `lg` (`lg` darts linked by \( \beta_1\)), and adds it in `cm`.

Returns a handle on one dart of this combinatorial polygon.

Precondition
  `CMap::dimension` \( \geq\) 1 and `lg` \( >\) 0.

See Also
  `CGAL::make_edge<CMap>`
  `CGAL::make_combinatorial_tetrahedron<CMap>`
  `CGAL::make_combinatorial_hexahedron<CMap>`

`#include <CGAL/Combinatorial_map_constructors.h>`

template<class CMap >

CMap::Dart_handle CGAL::make_combinatorial_tetrahedron | ( | CMap & | cm) |  |

Creates a combinatorial tetrahedron (four combinatorial triangles linked together by \( \beta_2\)), and adds it in `cm`.

Returns a handle on one dart of this combinatorial tetrahedron.

Precondition
  `CMap::dimension` \( \geq\) 2.

See Also
  `CGAL::make_edge<CMap>`
  `CGAL::make_combinatorial_polygon<CMap>`
  `CGAL::make_combinatorial_hexahedron<CMap>`

`#include <CGAL/Combinatorial_map_constructors.h>`

Examples:
  Combinatorial_map/map_3_marks.cpp, and Combinatorial_map/map_3_simple_example.cpp.

template<class CMap >

CMap::Dart_handle CGAL::make_edge | ( | CMap & | cm) |  |

Creates an isolated edge (two darts linked by \( \beta_2\)) and adds it in `cm`.

Returns a handle on one dart of this edge.

Precondition
  `CMap::dimension` \( \geq\) 2.

See Also
  `CGAL::make_combinatorial_polygon<CMap>`
  `CGAL::make_combinatorial_tetrahedron<CMap>`
  `CGAL::make_combinatorial_hexahedron<CMap>`

`#include <CGAL/Combinatorial_map_constructors.h>`