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CGAL 4.7 - CGAL and the Boost Graph Library
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Functions
Helper Functions
CGAL and the Boost Graph Library Reference

Functions

template<typename FaceGraph >
bool CGAL::is_border (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true if the halfedge hd is on a border.
 
template<typename FaceGraph >
bool CGAL::is_border_edge (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true if the halfedge hd or the opposite halfedge is on a border.
 
template<typename FaceGraph >
bool CGAL::is_border (typename boost::graph_traits< FaceGraph >::edge_descriptor ed, const FaceGraph &g)
 returns true if the edge e is on a border.
 
template<typename FaceGraph >
boost::optional< typename
boost::graph_traits< FaceGraph >
::halfedge_descriptor > 		CGAL::is_border (typename boost::graph_traits< FaceGraph >::vertex_descriptor vd, const FaceGraph &g)
 returns a halfedge which is on a border and whose target vertex is vd, if such a halfedge exists.
 
template<typename FaceGraph >
bool CGAL::is_closed (const FaceGraph &g)
 returns true if there are no border edges.
 
template<typename FaceGraph >
bool CGAL::is_bivalent (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true if the target of hd has exactly two incident edges.
 
template<typename FaceGraph >
bool CGAL::is_bivalent_mesh (const FaceGraph &g)
 returns true if all vertices have exactly two incident edges.
 
template<typename FaceGraph >
bool CGAL::is_trivalent (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true if the target of hd has exactly three incident edges.
 
template<typename FaceGraph >
bool CGAL::is_trivalent_mesh (const FaceGraph &g)
 returns true if all vertices have exactly three incident edges.
 
template<typename FaceGraph >
bool CGAL::is_isolated_triangle (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the connected component denoted by hd is a triangle. More...
 
template<typename FaceGraph >
bool CGAL::is_triangle (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the face denoted by hd is a triangle, that is it has three incident halfedges.
 
template<typename FaceGraph >
bool CGAL::is_triangle_mesh (const FaceGraph &g)
 returns true if all faces are triangles.
 
template<typename FaceGraph >
bool CGAL::is_isolated_quad (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the connected component denoted by hd is a quadrilateral.
 
template<typename FaceGraph >
bool CGAL::is_quad (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the face denoted by hd is a quad, that is it has four incident halfedges.
 
template<typename FaceGraph >
bool CGAL::is_quad_mesh (const FaceGraph &g)
 returns true if all faces are quadrilaterals.
 
template<typename FaceGraph >
bool CGAL::is_tetrahedron (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the connected component denoted by hd is a tetrahedron.
 
template<typename FaceGraph >
bool CGAL::is_hexahedron (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
 returns true iff the connected component denoted by hd is a hexahedron.
 
template<typename Graph , typename P >
boost::graph_traits< Graph >
::halfedge_descriptor 		CGAL::make_triangle (const P &p0, const P &p1, const P &p2, Graph &g)
 Creates an isolated triangle with border edges in g having p0, p1, and p2 as points and adds it to the graph g. More...
 
template<typename Graph , typename P >
boost::graph_traits< Graph >
::halfedge_descriptor 		CGAL::make_quad (const P &p0, const P &p1, const P &p2, const P &p3, Graph &g)
 Creates an isolated quad with border edges in g having p0, p1, p2, and p3 as points and adds it to the graph g. More...
 
template<typename Graph , typename P >
boost::graph_traits< Graph >
::halfedge_descriptor 		CGAL::make_hexahedron (const P &p0, const P &p1, const P &p2, const P &p3, const P &p4, const P &p5, const P &p6, const P &p7, Graph &g)
 Creates an isolated hexahedron in g having p0, p1, ... , and p7 as points and adds it to the graph g. More...
 
template<typename Graph , typename P >
boost::graph_traits< Graph >
::halfedge_descriptor 		CGAL::make_tetrahedron (const P &p0, const P &p1, const P &p2, const P &p3, Graph &g)
 Creates an isolated tetrahedron in g having p0, p1, p2, and p3 as points and adds it to the graph g. More...
 

Function Documentation

template<typename FaceGraph >
bool CGAL::is_isolated_triangle ( typename boost::graph_traits< FaceGraph >::halfedge_descriptor  hd,
const FaceGraph &  g 
)

returns true iff the connected component denoted by hd is a triangle.

Precondition
g must be valid.

#include <CGAL/boost/graph/helpers.h>

template<typename Graph , typename P >
boost::graph_traits<Graph>::halfedge_descriptor CGAL::make_hexahedron ( const P &  p0,
const P &  p1,
const P &  p2,
const P &  p3,
const P &  p4,
const P &  p5,
const P &  p6,
const P &  p7,
Graph &  g 
)

Creates an isolated hexahedron in g having p0, p1, ... , and p7 as points and adds it to the graph g.

Returns
the halfedge which has the target vertex associated with p0, in the face with the vertices with the points p0, p1, p2, and p3.

#include <CGAL/boost/graph/helpers.h>

template<typename Graph , typename P >
boost::graph_traits<Graph>::halfedge_descriptor CGAL::make_quad ( const P &  p0,
const P &  p1,
const P &  p2,
const P &  p3,
Graph &  g 
)

Creates an isolated quad with border edges in g having p0, p1, p2, and p3 as points and adds it to the graph g.

Returns
the non-border halfedge which has the target vertex associated with p0.

#include <CGAL/boost/graph/helpers.h>

template<typename Graph , typename P >
boost::graph_traits<Graph>::halfedge_descriptor CGAL::make_tetrahedron ( const P &  p0,
const P &  p1,
const P &  p2,
const P &  p3,
Graph &  g 
)

Creates an isolated tetrahedron in g having p0, p1, p2, and p3 as points and adds it to the graph g.

Returns
the halfedge which has the target vertex associated with p0, in the face with the vertices with the points p0, p1, and p2.

#include <CGAL/boost/graph/helpers.h>

template<typename Graph , typename P >
boost::graph_traits<Graph>::halfedge_descriptor CGAL::make_triangle ( const P &  p0,
const P &  p1,
const P &  p2,
Graph &  g 
)

Creates an isolated triangle with border edges in g having p0, p1, and p2 as points and adds it to the graph g.

Returns
the non-border halfedge which has the target vertex associated with p0.

#include <CGAL/boost/graph/helpers.h>