CGAL::Sizing_field_with_aabb_tree< GT, MeshDomain > Struct Template Reference

#include <CGAL/Sizing_field_with_aabb_tree.h>

Definition

template<typename GT, typename MeshDomain>
struct CGAL::Sizing_field_with_aabb_tree< GT, MeshDomain >

The class Sizing_field_with_aabb_tree is a model of concept MeshDomainField_3.

It provides a sizing field to be used in the meshing process of a polyhedral surface with features.

At each query point p, the field value is the minimum of the distances to

• the surface patches p does not belong to, and
• for each curve C it does belong to, the intersection points of C with the plane orthogonal to C and passing through p.

This sizing field is designed to be used for the edges of the mesh complex, in Mesh_edge_criteria_3 or as edge_size in Mesh_criteria_3. Using this sizing field for complex edges provides a high-quality hint to the protecting balls placement algorithm, since it ensures that no protecting ball will intersect a surface patch to which the corresponding vertex does not belong.

Template Parameters

GT	is the geometric traits class. It must match the type Triangulation::Geom_traits, where Triangulation is the nested type of the model of MeshComplex_3InTriangulation_3 used in the meshing process.
MeshDomain	is the type of the domain. It must be a model of MeshDomainWithFeatures_3, and derive from CGAL::Polyhedral_mesh_domain_with_features_3

Is model of

MeshDomainField_3

Examples

Mesh_3/mesh_polyhedral_domain_with_features_sizing.cpp.

Creation
	Sizing_field_with_aabb_tree (const FT &d, const MeshDomain &domain)
	Constructor for the sizing field.

Operations
double	operator() (const Point_3 &p, const int dim, const Index &id) const
	returns the value of the sizing field at the point p, assumed to be included in the input complex feature with dimension dimension and mesh subcomplex index id.

Constructor & Destructor Documentation

Sizing_field_with_aabb_tree()

template<typename GT, typename MeshDomain>

CGAL::Sizing_field_with_aabb_tree< GT, MeshDomain >::Sizing_field_with_aabb_tree	(	const FT &	d,
		const MeshDomain &	domain )

Constructor for the sizing field.

Parameters

d	the maximal value returned by operator(), corresponding to an upper bound on feature edge lengths in the output mesh.
domain	the mesh domain to be meshed

Member Function Documentation

operator()()

template<typename GT, typename MeshDomain>

double CGAL::Sizing_field_with_aabb_tree< GT, MeshDomain >::operator()	(	const Point_3 &	p,
		const int	dim,
		const Index &	id ) const

returns the value of the sizing field at the point p, assumed to be included in the input complex feature with dimension dimension and mesh subcomplex index id.