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