nn2 {RANN}R Documentation

Nearest Neighbour Search

Description

Uses a kd-tree to find the p number of near neighbours for each point in an input/output dataset. The advantage of the kd-tree is that it runs in O(M log M) time.

Usage

  nn2(data, query = data, k = min(10, nrow(data)),
    treetype = c("kd", "bd"),
    searchtype = c("standard", "priority", "radius"),
    radius = 0, eps = 0)

Arguments

data

A data frame or matrix where each row is a point.

query

A set of points that will be queried against data - must have same number of columns. If missing, uses data.

k

The maximum number of near neighbours to compute. The default value is set to 10.

treetype

Either the standard kd tree or a bd (box-decomposition, AMNSW98) tree which may perform better for larger point sets

searchtype

See details

radius

radius of search for searchtype='radius'

eps

error bound: default of 0.0 implies exact nearest neighbour search

Details

The RANN package utilizes the Approximate Near Neighbor (ANN) C++ library, which can give the exact near neighbours or (as the name suggests) approximate near neighbours to within a specified error bound. For more information on the ANN library please visit http://www.cs.umd.edu/~mount/ANN/.

Search types: priority visits cells in increasing order of distance from the query point, and hence, should converge more rapidly on the true nearest neighbour, but standard is usually faster for exact searches. radius only searches for neighbours within a specified radius of the point. If there are no neighbours then nn.idx will contain 0 and nn.dists will contain 1.340781e+154 for that point.

Value

A list of length 2 with elements, nn.idx and nn.dists

nn.idx

A MxP data.frame returning the near neighbour indexes.

nn.dists

A MxP data.frame returning the near neighbour Euclidean distances.

Author(s)

Gregory Jefferis based on earlier code by Samuel E. Kemp (knnFinder package)

References

Bentley J. L. (1975), Multidimensional binary search trees used for associative search. Communication ACM, 18:309-517.

Arya S. and Mount D. M. (1993), Approximate nearest neighbor searching, Proc. 4th Ann. ACM-SIAM Symposium on Discrete Algorithms (SODA'93), 271-280.

Arya S., Mount D. M., Netanyahu N. S., Silverman R. and Wu A. Y (1998), An optimal algorithm for approximate nearest neighbor searching, Journal of the ACM, 45, 891-923.

Examples

x1 <- runif(100, 0, 2*pi)
x2 <- runif(100, 0,3)
DATA <- data.frame(x1, x2)
nearest <- nn2(DATA,DATA)

[Package RANN version 2.3.0 Index]