## CGAL::Orthogonal_incremental_neighbor_search<Traits, OrthogonalDistance, Splitter, SpatialTree>

### Definition

The class Orthogonal_incremental_neighbor_search<Traits, OrthogonalDistance, Splitter, SpatialTree> implements incremental nearest and furthest neighbor searching on a tree.

#include <CGAL/Orthogonal_incremental_neighbor_search.h>

### Parameters

Expects for the first template argument a model of the concept SearchTraits, for example CGAL::Search_traits_2<CGAL::Cartesian<double> >.

Expects for the second template argument a model of the concept GeneralDistance. The default type is CGAL::Euclidean_distance<Traits>.

Expects for third template argument a model of the concept Splitter. The default type is CGAL::Sliding_midpoint<Traits>.

Expects for fourth template argument a model of the concept SpatialTree. The default type is CGAL::Kd_tree<Traits, Splitter, CGAL::Tag_true>. The template argument must be CGAL::Tag_true because orthogonal search needs extended kd tree nodes.

### Types

Traits::Point_d | Point_d; | Point type.
Traits::FT | FT; | Number type.
OrthogonalDistance::Query_item
| Query_item; | Query item.
std::pair<Point_d,FT>
| Point_with_transformed_distance;
|  | Pair of point and transformed distance.

Orthogonal_incremental_neighbor_search<Traits, OrthogonalDistance, Splitter, SpatialTree>::iterator
| Input iterator with value type Point_with_transformed_distance for enumerating approximate neighbors.

SpatialTree | Tree; | The tree type.

### Creation

Orthogonal_incremental_neighbor_search<Traits, OrthogonalDistance, Splitter, SpatialTree> s (
| SpatialTree& tree, Query_item query, FT eps=FT(0.0), bool search_nearest=true, OrthogonalDistance d=OrthogonalDistance());

| Constructor for incremental neighbor searching of the query item query in the points stored tree using a distance d and approximation factor eps.

### Operations

iterator | s.begin () | Returns an iterator to the approximate neighbors.
iterator | s.end () | Returns the corresponding past-the-end iterator.

| advanced |

std::ostream& | s.statistics ( std::ostream& s)
|  | Inserts statistics of the search process into the output stream s.

| advanced |

### See Also

CGAL::Incremental_neighbor_search<Traits, GeneralDistance, SpatialTree>.