CGAL::Sqrt3_mask_3< PolygonMesh, VertexPointMap > Class Template Reference

#include <CGAL/Subdivision_method_3/subdivision_masks_3.h>

Inherits from

CGAL::Linear_mask_3< PolygonMesh, VertexPointMap >.

Definition

template<class PolygonMesh, class VertexPointMap = typename boost::property_map<PolygonMesh, vertex_point_t>::type>
class CGAL::Sqrt3_mask_3< PolygonMesh, VertexPointMap >

The geometry mask of Sqrt(3) subdivision.

A stencil determines a source neighborhood whose points contribute to the position of a refined point. The geometry mask of a stencil specifies the computation on the nodes of the stencil. Sqrt3_mask_3 implements the geometry masks of \( \sqrt{3}\) subdivision on a triangulated model of MutableFaceGraph, such as Polyhedron_3 and Surface_mesh.

Template Parameters

PolygonMesh	must be a model of the concept MutableFaceGraph. Additionally all faces must be triangles.
VertexPointMap	must be a model of WritablePropertyMap with value type Point_3

Is Model Of:

Sqrt3Mask_3

See Also

CGAL::Subdivision_method_3

Public Types
typedef PolygonMesh	Mesh
Public Types inherited from CGAL::Linear_mask_3< PolygonMesh, VertexPointMap >
typedef PolygonMesh	Mesh
Public Types inherited from CGAL::PQQ_stencil_3< PolygonMesh, VertexPointMap >
typedef PolygonMesh	Mesh
typedef boost::property_map < Mesh, vertex_point_t >::type	Vertex_pmap
typedef boost::graph_traits < Mesh >::vertex_descriptor	vertex_descriptor
typedef boost::graph_traits < Mesh >::halfedge_descriptor	halfedge_descriptor
typedef boost::graph_traits < Mesh >::face_descriptor	face_descriptor
typedef boost::property_traits < Vertex_pmap >::value_type	Point
typedef Kernel_traits< Point > ::Kernel	Kernel
typedef Kernel::FT	FT
typedef Kernel::Vector_3	Vector

Creation
	Sqrt3_mask_3 (Mesh *pmesh)
	Constructor. More...
	Sqrt3_mask_3 (Mesh *pmesh, VertexPointMap vpmap)
	Constructor with a custom vertex point property map.

Stencil functions
void	vertex_node (vertex_descriptor vertex, Point &pt)
	computes the \( \sqrt{3}\) vertex-point pt of the vertex vd.
void	border_node (halfedge_descriptor hd, Point &ept1, Point &ept2, Point &vpt)
	computes the \( \sqrt{3}\) edge-points ept1 and ept2 of the halfedge hd. More...

Additional Inherited Members
Public Member Functions inherited from CGAL::Linear_mask_3< PolygonMesh, VertexPointMap >
	Linear_mask_3 (Mesh *pmesh)
	Linear_mask_3 (Mesh *pmesh, VertexPointMap vpmap)
void	face_node (face_descriptor facet, Point &pt)
void	edge_node (halfedge_descriptor edge, Point &pt)
void	vertex_node (vertex_descriptor vertex, Point &pt)
void	border_node (halfedge_descriptor edge, Point &ept, Point &)
Public Attributes inherited from CGAL::PQQ_stencil_3< PolygonMesh, VertexPointMap >
Mesh *	pmesh
VertexPointMap	vpmap

Constructor & Destructor Documentation

template<class PolygonMesh , class VertexPointMap = typename boost::property_map<PolygonMesh, vertex_point_t>::type>

CGAL::Sqrt3_mask_3< PolygonMesh, VertexPointMap >::Sqrt3_mask_3

(

Mesh *

pmesh)

Constructor.

The default vertex point property map, get(vertex_point, pmesh), is used.

Member Function Documentation

template<class PolygonMesh , class VertexPointMap = typename boost::property_map<PolygonMesh, vertex_point_t>::type>

void CGAL::Sqrt3_mask_3< PolygonMesh, VertexPointMap >::border_node	(	halfedge_descriptor	hd,
		Point &	ept1,
		Point &	ept2,
		Point &	vpt
	)

computes the \( \sqrt{3}\) edge-points ept1 and ept2 of the halfedge hd.

The updated point coordinates for the target vertex of hd is also computed and put in vpt.

Attention

Border subdivision only happens every second step of a single successive \( \sqrt{3}\) subdivision (thus requiring a depth larger than 1).