Free Functions

Functions to create a wrap from point clouds, triangle soups, and triangle meshes.

Functions
template<typename PointRange , typename FaceRange , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >
void	CGAL::alpha_wrap_3 (const PointRange &points, const FaceRange &faces, const double alpha, const double offset, OutputMesh &alpha_wrap, const InputNamedParameters &in_np, const OutputNamedParameters &out_np)
	computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input triangle soup.
template<typename TriangleMesh , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >
void	CGAL::alpha_wrap_3 (const TriangleMesh &tmesh, const double alpha, const double offset, OutputMesh &alpha_wrap, const InputNamedParameters &in_np, const OutputNamedParameters &out_np)
	computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input triangle mesh.
template<typename PointRange , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >
void	CGAL::alpha_wrap_3 (const PointRange &points, const double alpha, const double offset, OutputMesh &alpha_wrap, const InputNamedParameters &in_np, const OutputNamedParameters &out_np)
	computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input point set.

Function Documentation

alpha_wrap_3() [1/3]

template<typename PointRange , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >

void CGAL::alpha_wrap_3	(	const PointRange &	points,
		const double	alpha,
		const double	offset,
		OutputMesh &	alpha_wrap,
		const InputNamedParameters &	in_np,
		const OutputNamedParameters &	out_np
	)

#include <CGAL/alpha_wrap_3.h>

computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input point set.

The parameters alpha and offset respectively control which features will appear in the output, and the distance from the input. See Section Choosing Parameters for a detailed breakdown of their influence.

Template Parameters

PointRange	model of Range whose value type is a point type.
OutputMesh	model of MutableFaceGraph.
InputNamedParameters	a sequence of Named Parameters
OutputNamedParameters	a sequence of Named Parameters

Parameters

points	the input points
alpha	the value of the parameter alpha
offset	the value of the parameter offset
alpha_wrap	the output surface mesh
in_np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

point_map a property map associating points to the elements of the point range Type: a model of ReadablePropertyMap with value type geom_traits::Point_3 Default: CGAL::Identity_property_map<geom_traits::Point_3>
geom_traits an instance of a geometric traits class Type: a class model of Kernel Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the point type. The geometric traits should use a floating point number type (see Interface).

Parameters

out_np

an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of alpha_wrap Type: a class model of ReadWritePropertyMap with boost::graph_traits<OutputMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, alpha_wrap) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in OutputMesh.

Precondition

alpha and offset are strictly positive values.

alpha_wrap_3() [2/3]

template<typename PointRange , typename FaceRange , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >

void CGAL::alpha_wrap_3	(	const PointRange &	points,
		const FaceRange &	faces,
		const double	alpha,
		const double	offset,
		OutputMesh &	alpha_wrap,
		const InputNamedParameters &	in_np,
		const OutputNamedParameters &	out_np
	)

#include <CGAL/alpha_wrap_3.h>

computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input triangle soup.

The parameters alpha and offset respectively control which features will appear in the output, and the distance from the input. See Section Choosing Parameters for a detailed breakdown of their influence.

Template Parameters

PointRange	a model of Range whose value type is the point type
FaceRange	a model of RandomAccessContainer whose value type is a model of RandomAccessContainer whose value type is an integral type
OutputMesh	model of MutableFaceGraph.
InputNamedParameters	a sequence of Named Parameters
OutputNamedParameters	a sequence of Named Parameters

Parameters

points	the input points
faces	the input faces, with each element of the range being a range of indices corresponding to points in points
alpha	the value of the parameter alpha
offset	the value of the parameter offset
alpha_wrap	the output surface mesh
in_np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

point_map a property map associating points to the elements of the point set points Type: a model of ReadablePropertyMap whose key type is the value type of the iterator of PointRange and whose value type is geom_traits::Point_3 Default: CGAL::Identity_property_map<geom_traits::Point_3>
geom_traits an instance of a geometric traits class Type: a class model of Kernel Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the point type. The geometric traits should use a floating point number type (see Interface).

Parameters

out_np

an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of alpha_wrap Type: a class model of ReadWritePropertyMap with boost::graph_traits<OutputMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, alpha_wrap) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in OutputMesh.

Precondition

The elements of faces are triangles.

alpha and offset are strictly positive values.

Examples

Alpha_wrap_3/point_set_wrap.cpp, Alpha_wrap_3/triangle_mesh_wrap.cpp, and Alpha_wrap_3/triangle_soup_wrap.cpp.

alpha_wrap_3() [3/3]

template<typename TriangleMesh , typename OutputMesh , typename InputNamedParameters , typename OutputNamedParameters >

void CGAL::alpha_wrap_3	(	const TriangleMesh &	tmesh,
		const double	alpha,
		const double	offset,
		OutputMesh &	alpha_wrap,
		const InputNamedParameters &	in_np,
		const OutputNamedParameters &	out_np
	)

#include <CGAL/alpha_wrap_3.h>

computes a watertight, 2-manifold, and intersection-free triangulated surface mesh that strictly contains an input triangle mesh.

The parameters alpha and offset respectively control which features will appear in the output, and the distance from the input. See Section Choosing Parameters for a detailed breakdown of their influence.

Template Parameters

TriangleMesh	model of FaceListGraph.
OutputMesh	model of MutableFaceGraph.
InputNamedParameters	a sequence of Named Parameters
OutputNamedParameters	a sequence of Named Parameters

Parameters

tmesh	a triangle mesh
alpha	the value of the parameter alpha
offset	the value of the parameter offset
alpha_wrap	the output surface mesh
in_np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of tmesh Type: a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tmesh) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh.
geom_traits an instance of a geometric traits class Type: a class model of Kernel Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the point type. The geometric traits should use a floating point number type (see Interface).

Parameters

out_np

an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of alpha_wrap Type: a class model of ReadWritePropertyMap with boost::graph_traits<OutputMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, alpha_wrap) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in OutputMesh.

Precondition

tmesh is a triangle mesh.

alpha and offset are strictly positive values.