CGAL 4.5 - dD Spatial Searching: Distance Classes

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CGAL 4.5 - dD Spatial Searching

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Classes
class	CGAL::Euclidean_distance< Traits >
	The class `Euclidean_distance` provides an implementation of the concept `OrthogonalDistance`, with the Euclidean distance ( $l_2$ metric). More...

class	CGAL::Euclidean_distance_sphere_point< Traits >
	The class `Euclidean_distance_sphere_point` provides an implementation of the `GeneralDistance` concept for the Euclidean distance ( $l_2$ metric) between a $d$ -dimensional sphere and a point, and the Euclidean distance between a $d$ -dimensional sphere and a $d$ -dimensional iso-rectangle defined as a $k$ - $d$ tree rectangle. More...

class	CGAL::Manhattan_distance_iso_box_point< Traits >
	The class `Manhattan_distance_iso_box_point` provides an implementation of the `GeneralDistance` concept for the Manhattan distance ( $l_1$ metric) between a `d`-dimensional iso-box and a `d`-dimensional point and the Manhattan distance between a `d`-dimensional iso-box and a `d`-dimensional iso-box defined as a `k-d` tree rectangle. More...

class	CGAL::Distance_adapter< Key, PointPropertyMap, Base_distance >
	A class that uses a point property map to adapt a distance class to work on a key as point type. More...

class	CGAL::Weighted_Minkowski_distance< Traits >
	The class `Weighted_Minkowski_distance` provides an implementation of the concept `OrthogonalDistance`, with a weighted Minkowski metric on $d$ -dimensional points defined by $l_p(w)(r,q)= ({\Sigma_{i=1}^{i=d} \, w_i(r_i-q_i)^p})^{1/p}$ for $0 < p <\infty$ and defined by $l_{\infty}(w)(r,q)=max \{w_i \|r_i-q_i\| \mid 1 \leq i \leq d\}$ . More...