CGAL 6.0 - 3D Alpha Wrapping
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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
PointRangemodel of Range whose value type is a point type.
OutputMeshmodel of MutableFaceGraph.
InputNamedParametersa sequence of Named Parameters
OutputNamedParametersa sequence of Named Parameters
Parameters
pointsthe input points
alphathe value of the parameter alpha
offsetthe value of the parameter offset
alpha_wrapthe output surface mesh
in_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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>

  • 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_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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
PointRangea model of Range whose value type is the point type
FaceRangea model of RandomAccessContainer whose value type is a model of RandomAccessContainer whose value type is an integral type
OutputMeshmodel of MutableFaceGraph.
InputNamedParametersa sequence of Named Parameters
OutputNamedParametersa sequence of Named Parameters
Parameters
pointsthe input points
facesthe input faces, with each element of the range being a range of indices corresponding to points in points
alphathe value of the parameter alpha
offsetthe value of the parameter offset
alpha_wrapthe output surface mesh
in_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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>

  • 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_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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
TriangleMeshmodel of FaceListGraph.
OutputMeshmodel of MutableFaceGraph.
InputNamedParametersa sequence of Named Parameters
OutputNamedParametersa sequence of Named Parameters
Parameters
tmesha triangle mesh
alphathe value of the parameter alpha
offsetthe value of the parameter offset
alpha_wrapthe output surface mesh
in_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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.

  • 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_npan optional sequence of Named Parameters among the ones listed below
Optional Named Parameters
  • 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.