spatstat.geom (version 3.5-0)

nncross: Nearest Neighbours Between Two Patterns

Description

Given two point patterns X and Y, finds the nearest neighbour in Y of each point of X. Alternatively Y may be a line segment pattern.

Usage

nncross(X, Y, ...)
  # S3 method for ppp
nncross(X, Y,
          iX=NULL, iY=NULL,
          what = c("dist", "which"),
          ...,
          k = 1,
          sortby=c("range", "var", "x", "y"),
          is.sorted.X = FALSE,
          is.sorted.Y = FALSE,
          metric=NULL)
  # S3 method for default
nncross(X, Y, ...)

Value

A data frame, or a vector if the data frame would contain only one column.

By default (if what=c("dist", "which") and k=1) a data frame with two columns:

dist

Nearest neighbour distance

which

Nearest neighbour index in Y

If what="dist" and k=1, a vector of nearest neighbour distances.

If what="which" and k=1, a vector of nearest neighbour indices.

If k is specified, the result is a data frame with columns containing the k-th nearest neighbour distances and/or nearest neighbour indices.

Details

Given two point patterns X and Y this function finds, for each point of X, the nearest point of Y. The distance between these points is also computed. If the argument k is specified, then the k-th nearest neighbours will be found.

Alternatively if X is a point pattern and Y is a line segment pattern, the function finds the nearest line segment to each point of X, and computes the distance.

The return value is a data frame, with rows corresponding to the points of X. The first column gives the nearest neighbour distances (i.e. the ith entry is the distance from the ith point of X to the nearest element of Y). The second column gives the indices of the nearest neighbours (i.e.\ the ith entry is the index of the nearest element in Y.) If what="dist" then only the vector of distances is returned. If what="which" then only the vector of indices is returned.

The argument k may be an integer or an integer vector. If it is a single integer, then the k-th nearest neighbours are computed. If it is a vector, then the k[i]-th nearest neighbours are computed for each entry k[i]. For example, setting k=1:3 will compute the nearest, second-nearest and third-nearest neighbours. The result is a data frame.

Note that this function is not symmetric in X and Y. To find the nearest neighbour in X of each point in Y, where Y is a point pattern, use nncross(Y,X).

The arguments iX and iY are used when the two point patterns X and Y have some points in common. In this situation nncross(X, Y) would return some zero distances. To avoid this, attach a unique integer identifier to each point, such that two points are identical if their identifying numbers are equal. Let iX be the vector of identifier values for the points in X, and iY the vector of identifiers for points in Y. Then the code will only compare two points if they have different values of the identifier. See the Examples.

See Also

nndist for nearest neighbour distances in a single point pattern.

Examples

  # two different point patterns
  X <- runifrect(15)
  Y <- runifrect(20)
  N <- nncross(X,Y)$which
  # note that length(N) = 15
  plot(superimpose(X=X,Y=Y), main="nncross", cols=c("red","blue"))
  arrows(X$x, X$y, Y[N]$x, Y[N]$y, length=0.15)

  # third-nearest neighbour
  NXY <- nncross(X, Y, k=3)
  NXY[1:3,]
  # second and third nearest neighbours
  NXY <- nncross(X, Y, k=2:3)
  NXY[1:3,]

  # two patterns with some points in common
  Z <- runifrect(50)
  X <- Z[1:30]
  Y <- Z[20:50]
  iX <- 1:30
  iY <- 20:50
  N <- nncross(X,Y, iX, iY)$which
  N <- nncross(X,Y, iX, iY, what="which") #faster
  plot(superimpose(X=X, Y=Y), main="nncross", cols=c("red","blue"))
  arrows(X$x, X$y, Y[N]$x, Y[N]$y, length=0.15)

  # point pattern and line segment pattern
  X <- runifrect(15)
  Y <- psp(runif(10), runif(10), runif(10), runif(10), square(1))
  N <- nncross(X,Y)