CGAL::Fuzzy_iso_box< Traits > Class Template Reference

#include <CGAL/Fuzzy_iso_box.h>

Definition

The class Fuzzy_iso_box implements fuzzy d-dimensional iso boxes.

A fuzzy iso box with fuzziness value \( \epsilon\) has as inner and outer approximations a box respectively eroded and dilated by a d-dim square with side length \( \epsilon\).

Attention

Points in the interior of the inner approximation are always reported and points that are not in the closure of the outer approximation are never reported. Other points may or may not be reported. Subsequently, points on the boundary of the inner and outer approximations may or may not be reported. Specifically when \( \epsilon = 0\), points on the boundary of the box may or may not be reported.

Template Parameters

Traits

must be a model of the concept SearchTraits, for example CGAL::Search_traits_2<CGAL::Simple_cartesian<double> >.

Is Model Of:

FuzzyQueryItem

See also

FuzzyQueryItem

Examples:

Spatial_searching/fuzzy_range_query.cpp, and Spatial_searching/iso_rectangle_2_query.cpp.

Types
typedef unspecified_type	D
	Dimension Tag.
typedef Traits::Point_d	Point_d
	Point type.
typedef Traits::FT	FT
	Number type.

Creation
	Fuzzy_iso_box (Point_d p, Point_d q, FT epsilon=FT(0), Traits t=Traits())
	Construct a fuzzy iso box specified by the minimal iso box containing p and q and fuzziness value epsilon. More...
	Fuzzy_iso_box (Traits::Base::Point_d p, Traits::Base::Point_d q, FT epsilon=FT(0), Traits t=Traits())
	Construct a fuzzy iso box specified by the minimal iso box containing p and q and fuzziness value epsilon. More...

Operations
bool	contains (Point_d p) const
	Test whether the fuzzy iso box contains p.
bool	inner_range_intersects (const Kd_tree_rectangle< FT, D > &rectangle) const
	Test whether the inner box intersects the rectangle associated with a node of a tree.
bool	outer_range_contains (const Kd_tree_rectangle< FT, D > &rectangle) const
	Test whether the outer box encloses the rectangle associated with a node of a tree.

Constructor & Destructor Documentation

Fuzzy_iso_box() [1/2]

template<typename Traits >

CGAL::Fuzzy_iso_box< Traits >::Fuzzy_iso_box	(	Point_d	p,
		Point_d	q,
		FT	epsilon = FT(0),
		Traits	t = Traits()
	)

Construct a fuzzy iso box specified by the minimal iso box containing p and q and fuzziness value epsilon.

Precondition

p must be lexicographically smaller than q.

Fuzzy_iso_box() [2/2]

template<typename Traits >

CGAL::Fuzzy_iso_box< Traits >::Fuzzy_iso_box	(	Traits::Base::Point_d	p,
		Traits::Base::Point_d	q,
		FT	epsilon = FT(0),
		Traits	t = Traits()
	)

Construct a fuzzy iso box specified by the minimal iso box containing p and q and fuzziness value epsilon.

Attention

Only available in case Traits is Search_traits_adapter<Key,PointPropertyMap,BaseTraits>.

Precondition

p must be lexicographically smaller than q.