CGAL 6.1 - Surface Mesh Topology

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PolygonalSchema Concept Reference
Reference Manual » Concepts

## Definition

The concept `PolygonalSchema` defines a 2D polygonal schema, i.e. a combinatorial surface with labeled edges. A PolygonalSchema is created incrementally by adding facets one at a time. A label is any word, that does not contain a space.

PolygonalSchema::Dart_info should be a class having a public data member std::string m_label. PolygonalSchema::dimension should be equal to 2.

Refines
  `GenericMap`

Has models
  `CGAL::Surface_mesh_topology::Polygonal_schema_with_combinatorial_map<Items,Alloc>`
  `CGAL::Surface_mesh_topology::Polygonal_schema_with_generalized_map<Items,Alloc>`

## Public Member Functions
| PolygonalSchema ()
| creates an empty `PolygonalSchema` object.
void | init_facet ()
| starts a new facet.
Dart_descriptor | finish_facet ()
| finishes the current facet.
void | add_edge_to_facet (const std::string &l)
| adds one edge to the current facet, given by its label `l` (any string containing no space, using minus sign for orientation).
void | add_edges_to_facet (const std::string &s)
| adds the given edges to the current facet.
void | add_facet (const std::string &s)
| adds directly one facet giving the sequence of labels `s` of all its edges (labels are separated by spaces).
std::string | get_label (Dart_descriptor d) const
| returns the label of dart `d`.
Dart_descriptor | get_dart_labeled (const std::string &s) const
| returns dart with label `s`, NULL if this label is not used.
bool | is_perforated (Dart_const_descriptor d) const
| returns true iff the facet containing `d` is perforated.
bool | is_perforated (const std::string &s) const
| Shortcut for `is_perforated(get_dart_labeled(s))`.
size_type | perforate_facet (Dart_descriptor d)
| perforates the facet containing `d`. Returns the number of darts of the face; 0 if the facet was already perforated.
size_type | perforate_facet (const std::string &s)
| Shortcut for perforate_facet(get_dart_labeled(s)).
size_type | fill_facet (Dart_descriptor d)
| fills the facet containing `d`. Returns the number of darts of the face; 0 if the facet was already filled.
size_type | fill_facet (const std::string &s)
| Shortcut for `fill_facet(get_dart_labeled(s))`.

## Member Function Documentation

## ◆ add_edge_to_facet()

void PolygonalSchema::add_edge_to_facet | ( | const std::string & | l | ) |

adds one edge to the current facet, given by its label `l` (any string containing no space, using minus sign for orientation).

Since the surface is oriented, each label can be used only twice with opposite signs. If this method is called with a label already used, with same sign, an error message is given and this label is ignored.

Precondition
  A facet is under creation.

## ◆ add_edges_to_facet()

void PolygonalSchema::add_edges_to_facet | ( | const std::string & | s | ) |

adds the given edges to the current facet.

`s` is a sequence of labels, separated by spaces. All the corresponding edges are added into the current facet.

Precondition
  A facet is under creation.

## ◆ finish_facet()

Dart_descriptor PolygonalSchema::finish_facet | ( |  | ) |

finishes the current facet.

Returns the first dart of this facet.

Precondition
  A facet is under creation.