CGAL::Fuzzy_iso_box< Traits > Class Template Reference

#include <CGAL/Fuzzy_iso_box.h>

Definition

template<typename Traits>
class CGAL::Fuzzy_iso_box< Traits >

The class Fuzzy_iso_box implements fuzzy d-dimensional (closed) 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 \( \epsilon\). Points are returned depending on their location respective to the approximations, as follows:

• points in the inner approximation (boundary included) are always returned.
• points in the outer approximation (boundary included) and not in the previous category may or may not be returned.
• points that do not fit in the two previous categories are never returned.

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

Examples

Spatial_searching/fuzzy_range_query.cpp, Spatial_searching/iso_rectangle_2_query.cpp, and Spatial_searching/iso_rectangle_2_query_projection.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.
	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.

Operations
bool	contains (Point_d p) const
	Test whether the fuzzy iso box contains p.
template<typename Coord_iterator >
bool	contains_point_given_as_coordinates (Coord_iterator begin, Coord_iterator end) const
	Test whether the fuzzy iso box contains the point whose Cartesian coordinates are contained in the range [begin, end).
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.