CGAL::Mesh_facet_criteria_3< Tr > Class Template Reference

#include <CGAL/Mesh_facet_criteria_3.h>

Definition

template<typename Tr>
class CGAL::Mesh_facet_criteria_3< Tr >

The class Mesh_facet_criteria_3 is a model of MeshFacetCriteria_3.

It provides a uniform bound for the shape criterion, a uniform or variable sizing field for the size criterion and/or a uniform or variable distance field for the approximation error criterion.

Template Parameters

Tr	must be identical to the nested type Triangulation of the instance used as model of MeshComplex_3InTriangulation_3.

Is model of

MeshFacetCriteria_3

See also

MeshCriteria_3

MeshFacetCriteria_3

MeshDomainField_3

CGAL::Mesh_facet_topology

CGAL::Mesh_criteria_3<Tr>

CGAL::make_mesh_3()

Public Member Functions
Is_facet_bad	operator() (const Tr &tr, const Facet &facet) const
	returns whether the facet facet is bad or not.
std::optional< FT >	squared_min_radius_bound () const

Types
typedef Tr::Geom_traits::FT	FT
	Numerical type.

Creation
	Mesh_facet_criteria_3 (const FT &angle_bound, const FT &radius_bound, const FT &distance_bound, const Mesh_facet_topology topology=FACET_VERTICES_ON_SURFACE, const FT &min_radius_bound=0.)
	returns an object to serve as criteria for facets.
template<typename SizingField , typename DistanceField >
	Mesh_facet_criteria_3 (const FT &angle_bound, const SizingField &radius_bound, const DistanceField &distance_bound, const Mesh_facet_topology topology=FACET_VERTICES_ON_SURFACE, const FT &min_radius_bound=0.)
	Returns an object to serve as criteria for facets.

Constructor & Destructor Documentation

Mesh_facet_criteria_3() [1/2]

template<typename Tr >

CGAL::Mesh_facet_criteria_3< Tr >::Mesh_facet_criteria_3	(	const FT &	angle_bound,
		const FT &	radius_bound,
		const FT &	distance_bound,
		const Mesh_facet_topology	topology = FACET_VERTICES_ON_SURFACE,
		const FT &	min_radius_bound = 0.
	)

returns an object to serve as criteria for facets.

Parameters

angle_bound	is the lower bound for the angles in degrees of the surface mesh facets.
radius_bound	is a uniform upper bound for the radius of the surface Delaunay balls.
distance_bound	is an upper bound for the center-center distances of the surface mesh facets.
topology	is the set of topological constraints which have to be verified by each surface facet. See section Delaunay Refinement for further details.
min_radius_bound	is a uniform lower bound for the radius of the surface Delaunay balls. Only facets with a radius larger than that bound will be refined.

Note

If one parameter is set to 0, then its corresponding criterion is ignored.

Mesh_facet_criteria_3() [2/2]

template<typename Tr >

template<typename SizingField , typename DistanceField >

CGAL::Mesh_facet_criteria_3< Tr >::Mesh_facet_criteria_3	(	const FT &	angle_bound,
		const SizingField &	radius_bound,
		const DistanceField &	distance_bound,
		const Mesh_facet_topology	topology = FACET_VERTICES_ON_SURFACE,
		const FT &	min_radius_bound = 0.
	)

Returns an object to serve as criteria for facets.

The types SizingField and DistanceField must be models of the concept MeshDomainField_3. The behavior and semantic of the arguments are the same as above, except that the radius and distance bound parameters are functionals instead of constants.

Member Function Documentation

operator()()

template<typename Tr >

Is_facet_bad CGAL::Mesh_facet_criteria_3< Tr >::operator()	(	const Tr &	tr,
		const Facet &	facet
	)		const

returns whether the facet facet is bad or not.

Parameters

tr	the triangulation within which facet lives
facet	the facet

squared_min_radius_bound()

template<typename Tr >

std::optional< FT > CGAL::Mesh_facet_criteria_3< Tr >::squared_min_radius_bound

(

)

const

Returns

the squared value of minimal radius bound if it was set, and std::nullopt otherwise