\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - dD Spatial Searching
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GeneralDistance Concept Reference
dD Spatial Searching Reference » Concepts

Definition

Requirements of a distance class defining a distance between a query item denoting a spatial object and a point. To optimize distance computations transformed distances are used, e.g., for a Euclidean distance the transformed distance is the squared Euclidean distance.

Has Models:

CGAL::Manhattan_distance_iso_box_point<Traits>

CGAL::Euclidean_distance_sphere_point<Traits>

Types

typedef unspecified_type D
 Dimension Tag.
 
typedef unspecified_type FT
 Number type.
 
typedef unspecified_type Point_d
 Point type.
 
typedef unspecified_type Query_item
 Query item type.
 

Operations

FT transformed_distance (Query_item q, Point_d r)
 Returns the transformed distance between q and r.
 
FT min_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r) const
 Returns the transformed distance between q and the point on the boundary of r closest to q.
 
FT max_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r) const
 Returns the transformed distance between q and the point on the boundary of r furthest to q.
 
FT transformed_distance (FT d) const
 Returns the transformed distance.
 
FT inverse_of_transformed_distance (FT d) const
 Returns the inverse of the transformed distance.