\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.1 - dD Spatial Searching
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
CGAL::Fair< Traits, SpatialSeparator > Class Template Reference
Splitter Classes

#include <CGAL/Splitters.h>

Definition

Implements the fair splitting rule.

This splitting rule is a compromise between the median of rectangle splitting rule and the midpoint of rectangle splitting rule. This splitting rule maintains an upper bound on the maximal allowed ratio of the longest and shortest side of a rectangle (the value of this upper bound is set in the constructor of the fair splitting rule). Among the splits that satisfy this bound, it selects the one in which the points have the largest spread. It then splits the points in the most even manner possible, subject to maintaining the bound on the ratio of the resulting rectangles.

Parameters

Expects for the first template argument a model of the concept SearchTraits, for example Simple_cartesian<double>.

Expects for the second template argument a model of the concept SpatialSeparator. It has as default value the type, Plane_separator<Traits::FT>.

Is Model Of:
Splitter
See Also
Splitter
SpatialSeparator
Examples:
Spatial_searching/using_fair_splitting_rule.cpp.

Types

typedef Traits::FT FT
 Number type.
 

Creation

 Fair ()
 Default constructor.
 
 Fair (unsigned int bucket_size, FT aspect_ratio=FT(3))
 Constructor.