Hole Filling

Functions to fill holes given as a range of halfedges or as range of points.

Functions
template<typename PolygonMesh , typename OutputIterator , typename NamedParameters >
OutputIterator	CGAL::Polygon_mesh_processing::triangulate_hole (PolygonMesh &pmesh, typename boost::graph_traits< PolygonMesh >::halfedge_descriptor border_halfedge, OutputIterator out, const NamedParameters &np)
	triangulates a hole in a polygon mesh. More...
template<typename PolygonMesh , typename FaceOutputIterator , typename VertexOutputIterator , typename NamedParameters >
std::pair< FaceOutputIterator, VertexOutputIterator >	CGAL::Polygon_mesh_processing::triangulate_and_refine_hole (PolygonMesh &pmesh, typename boost::graph_traits< PolygonMesh >::halfedge_descriptor border_halfedge, FaceOutputIterator face_out, VertexOutputIterator vertex_out, const NamedParameters &np)
	triangulates and refines a hole in a polygon mesh. More...
template<typename PolygonMesh , typename FaceOutputIterator , typename VertexOutputIterator , typename NamedParameters >
CGAL::cpp11::tuple< bool, FaceOutputIterator, VertexOutputIterator >	CGAL::Polygon_mesh_processing::triangulate_refine_and_fair_hole (PolygonMesh &pmesh, typename boost::graph_traits< PolygonMesh >::halfedge_descriptor border_halfedge, FaceOutputIterator face_out, VertexOutputIterator vertex_out, const NamedParameters &np)
	triangulates, refines and fairs a hole in a polygon mesh. More...
template<typename PointRange1 , typename PointRange2 , typename OutputIterator , typename NamedParameters >
OutputIterator	CGAL::Polygon_mesh_processing::triangulate_hole_polyline (const PointRange1 &points, const PointRange2 &third_points, OutputIterator out, const NamedParameters &np)
	creates triangles to fill the hole defined by points in the range points. More...
template<typename PointRange , typename OutputIterator , typename CGAL_PMP_NP_TEMPLATE_PARAMETERS >
OutputIterator	CGAL::Polygon_mesh_processing::triangulate_hole_polyline (const PointRange &points, OutputIterator out, const CGAL_PMP_NP_CLASS &np)
	same as above but the range of third points is omitted. More...

Function Documentation

triangulate_and_refine_hole()

template<typename PolygonMesh , typename FaceOutputIterator , typename VertexOutputIterator , typename NamedParameters >

std::pair<FaceOutputIterator, VertexOutputIterator> CGAL::Polygon_mesh_processing::triangulate_and_refine_hole	(	PolygonMesh &	pmesh,
		typename boost::graph_traits< PolygonMesh >::halfedge_descriptor	border_halfedge,
		FaceOutputIterator	face_out,
		VertexOutputIterator	vertex_out,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>

triangulates and refines a hole in a polygon mesh.

Template Parameters

PolygonMesh	must be model of MutableFaceGraph
FacetOutputIterator	model of OutputIterator holding boost::graph_traits<PolygonMesh>::face_descriptor for patch faces.
VertexOutputIterator	model of OutputIterator holding boost::graph_traits<PolygonMesh>::vertex_descriptor for patch vertices.
NamedParameters	a sequence of Named Parameters

Parameters

pmesh	polygon mesh which has the hole
border_halfedge	a border halfedge incident to the hole
face_out	output iterator over patch faces
vertex_out	output iterator over patch vertices without including the boundary
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in PolygonMesh
density_control_factor	factor to control density of the ouput mesh, where larger values cause denser refinements, as in refine()
use_delaunay_triangulation	if true, use the Delaunay triangulation facet search space
geom_traits	a geometric traits class instance

Returns

pair of face_out and vertex_out

See also

CGAL::Polygon_mesh_processing::triangulate_hole()

CGAL::Polygon_mesh_processing::refine()

triangulate_hole()

template<typename PolygonMesh , typename OutputIterator , typename NamedParameters >

OutputIterator CGAL::Polygon_mesh_processing::triangulate_hole	(	PolygonMesh &	pmesh,
		typename boost::graph_traits< PolygonMesh >::halfedge_descriptor	border_halfedge,
		OutputIterator	out,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>

triangulates a hole in a polygon mesh.

The hole must not contain any non-manifold vertex, nor self-intersections. The patch generated does not introduce non-manifold edges nor degenerate triangles. If a hole cannot be triangulated, pmesh is not modified and nothing is recorded in out.

Template Parameters

PolygonMesh	a model of MutableFaceGraph
OutputIterator	a model of OutputIterator holding boost::graph_traits<PolygonMesh>::face_descriptor for patch faces.
NamedParameters	a sequence of Named Parameters

Parameters

pmesh	polygon mesh containing the hole
border_halfedge	a border halfedge incident to the hole
out	iterator over patch faces
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in PolygonMesh
use_delaunay_triangulation	if true, use the Delaunay triangulation facet search space
geom_traits	a geometric traits class instance

Returns

out

triangulate_hole_polyline() [1/2]

template<typename PointRange1 , typename PointRange2 , typename OutputIterator , typename NamedParameters >

OutputIterator CGAL::Polygon_mesh_processing::triangulate_hole_polyline	(	const PointRange1 &	points,
		const PointRange2 &	third_points,
		OutputIterator	out,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>

creates triangles to fill the hole defined by points in the range points.

Triangles are recorded into out using the indices of the input points in the range points. Note that no degenerate triangles will be produced. If no triangulation can be found, then nothing is recorded in out.

If faces incident to the polyline outside the hole are known, it is recommended to use this function. The point range third_points indicates for each pair of consecutive points in the range points, the third point of the face this segment is incident to. It influences the choice of the best triangulation while avoiding overfolding.

Note that the ranges points and third_points may or may not contain duplicated first point at the end of sequence.

Precondition

third_points.size() == points.size()

Template Parameters

PointRange	range of points, model of Range. Its iterator type is InputIterator.
OutputIterator	model of OutputIterator, to collect patch faces. A specialization for CGAL::value_type_traits<OutputIterator> must be available, and the corresponding value type type must have a constructor type(int p0, int p1, int p2) available. The indices correspond to the ones of input points in points.
NamedParameters	a sequence of Named Parameters

Parameters

points	the range of input points
third_points	the range of third points
out	iterator over output patch triangles, described by indices of points in points
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

use_delaunay_triangulation	if true, use the Delaunay triangulation facet search space
geom_traits	a geometric traits class instance

Examples:

Polygon_mesh_processing/triangulate_polyline_example.cpp.

triangulate_hole_polyline() [2/2]

template<typename PointRange , typename OutputIterator , typename CGAL_PMP_NP_TEMPLATE_PARAMETERS >

OutputIterator CGAL::Polygon_mesh_processing::triangulate_hole_polyline	(	const PointRange &	points,
		OutputIterator	out,
		const CGAL_PMP_NP_CLASS &	np
	)

#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>

same as above but the range of third points is omitted.

They are not taken into account in the cost computation that leads the hole filling.

triangulate_refine_and_fair_hole()

template<typename PolygonMesh , typename FaceOutputIterator , typename VertexOutputIterator , typename NamedParameters >

CGAL::cpp11::tuple<bool, FaceOutputIterator, VertexOutputIterator> CGAL::Polygon_mesh_processing::triangulate_refine_and_fair_hole	(	PolygonMesh &	pmesh,
		typename boost::graph_traits< PolygonMesh >::halfedge_descriptor	border_halfedge,
		FaceOutputIterator	face_out,
		VertexOutputIterator	vertex_out,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>

triangulates, refines and fairs a hole in a polygon mesh.

Template Parameters

PolygonMesh	a model of MutableFaceGraph
FaceOutputIterator	model of OutputIterator holding boost::graph_traits<PolygonMesh>::face_descriptor for patch faces
VertexOutputIterator	model of OutputIterator holding boost::graph_traits<PolygonMesh>::vertex_descriptor for patch vertices
NamedParameters	a sequence of Named Parameters

Parameters

pmesh	polygon mesh which has the hole
border_halfedge	a border halfedge incident to the hole
face_out	output iterator over patch faces
vertex_out	output iterator over patch vertices without including the boundary
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in PolygonMesh
use_delaunay_triangulation	if true, use the Delaunay triangulation facet search space
density_control_factor	factor to control density of the ouput mesh, where larger values cause denser refinements, as in refine()
fairing_continuity	tangential continuity of the output surface patch
sparse_linear_solver	an instance of the sparse linear solver used for fairing
geom_traits	a geometric traits class instance

Returns

tuple of

• bool: true if fairing is successful
• face_out
• vertex_out

See also

CGAL::Polygon_mesh_processing::triangulate_hole()

CGAL::Polygon_mesh_processing::refine()

CGAL::Polygon_mesh_processing::fair()

Examples:

Polygon_mesh_processing/hole_filling_example.cpp.