\ccRefChapter{Spatial Searching}

The spatial searching package implements
exact and approximate distance browsing
by providing implementations of algorithms supporting

\begin{itemize} 

\item
both nearest and furthest neighbor searching

\item
both exact and approximate searching

\item
(approximate) range searching

\item 
(approximate) $k$-nearest and $k$-furthest neighbor searching

\item 
(approximate) incremental nearest and incremental furthest neighbor searching

\item
query items representing points and spatial objects.

\end{itemize}

In these searching problems a set $P$ of data points in $d$-dimensional
space is given.

The spatial searching package 
consists of the following concepts and classes
that are described in the reference pages.

\ccHeading{Concepts}


\ccRefConceptPage{FuzzyQueryItem} \\
\ccRefConceptPage{GeneralDistance} \\ 
\ccRefConceptPage{IsoBox_d} \\
\ccRefConceptPage{OrthogonalDistance} \\
\ccRefConceptPage{PointContainer} \\
\ccRefConceptPage{PointTraits} \\
\ccRefConceptPage{QueryItem} \\
\ccRefConceptPage{SpatialSeparator} \\
\ccRefConceptPage{SpatialTree} \\
\ccRefConceptPage{Splitter} \\
\ccRefConceptPage{TreeTraits} \\

\ccHeading{Classes}

\ccRefIdfierPage{CGAL::Euclidean_distance<PointTraits>} \\
\ccRefIdfierPage{CGAL::Euclidean_distance_sphere_point<PointTraits, QueryItem>} \\
\ccRefIdfierPage{CGAL::Fair<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Fuzzy_iso_box<PointTraits, IsoBox_d>} \\
\ccRefIdfierPage{CGAL::Fuzzy_sphere<PointTraits>} \\
\ccRefIdfierPage{CGAL::General_priority_search<PointTraits, GeneralDistance, QueryItem, SpatialTree>} \\
\ccRefIdfierPage{CGAL::General_standard_search<PointTraits, GeneralDistance, QueryItem, SpatialTree>} \\
\ccRefIdfierPage{CGAL::Kd_tree<PointTraits, Splitter>} \\
\ccRefIdfierPage{CGAL::Kd_tree_node<PointTraits>} \\
\ccRefIdfierPage{CGAL::Kd_tree_rectangle<NT>} \\
\ccRefIdfierPage{CGAL::Kd_tree_traits_point_2<Kernel>} \\
\ccRefIdfierPage{CGAL::Kd_tree_traits_point_3<Kernel>} \\
\ccRefIdfierPage{CGAL::Kd_tree_traits_point_d<Kernel>} \\
\ccRefIdfierPage{CGAL::Manhattan_distance_rectangle_point<QueryItem, PointTraits>} \\
\ccRefIdfierPage{CGAL::Median_of_max_spread<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Median_of_rectangle<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Midpoint_of_max_spread<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Midpoint_of_rectangle<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Orthogonal_priority_search<PointTraits, OrthogonalDistance, SpatialTree>} \\
\ccRefIdfierPage{CGAL::Orthogonal_standard_search<PointTraits, OrthogonalDistance, SpatialTree>} \\
\ccRefIdfierPage{CGAL::Plane_separator<NT>} \\
\ccRefIdfierPage{CGAL::Point_container<PointTraits>} \\
\ccRefIdfierPage{CGAL::Sliding_fair<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Sliding_midpoint<PointTraits, PointContainer, SpatialSeparator>} \\
\ccRefIdfierPage{CGAL::Weighted_Minkowski_distance<PointTraits>} \\

\lcHtml{\ccHeading{Alphabetical Listing of Reference Pages}}