# closepairs

0th

Percentile

##### Close Pairs of Points

Low-level functions to find all close pairs of points.

Keywords
spatial, math
##### Usage
closepaircounts(X, r)crosspaircounts(X, Y, r)closepairs(X, rmax, ordered=TRUE, what=c("all", "indices"))crosspairs(X, Y, rmax, what=c("all", "indices"))
##### Arguments
X,Y
Point patterns (objects of class "ppp").
r,rmax
Maximum distance between pairs of points to be counted as close pairs.
ordered
Logical value indicating whether all ordered pairs of close points should be returned. If ordered=TRUE, each pair will appear twice in the output, as (i,j) and again as (j,i). If ordered=FALSE
what
String specifying the data to be returned for each close pair of points. If what="all" (the default) then the returned information includes the indices i,j of each pair, their x,y coordinates, and the dis
##### Details

These are the efficient low-level functions used by spatstat to find all close pairs of points in a point pattern or all close pairs between two point patterns.

closepaircounts(X,r) counts the number of neighbours for each point in the pattern X. That is, for each point X[i], it counts the number of other points X[j] with j != i such that d(X[i],X[j]) <= r<="" code=""> where d denotes Euclidean distance. The result is an integer vector v such that v[i] is the number of neighbours of X[i].

crosspaircounts(X,Y,r) counts, for each point in the pattern X, the number of neighbours in the pattern Y. That is, for each point X[i], it counts the number of points Y[j] such that d(X[i],X[j]) <= r<="" code="">. The result is an integer vector v such that v[i] is the number of neighbours of X[i] in the pattern Y.

closepairs(X,rmax) identifies all pairs of neighbours in the pattern X and returns them. The result is a list with the following components: [object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object] If what="indices" then only the components i and j are returned. This is slightly faster.

crosspairs(X,rmax) identifies all pairs of neighbours (X[i], Y[j]) between the patterns X and Y, and returns them. The result is a list with the same format as for closepairs.

##### Value

• For closepaircounts and crosspaircounts, an integer vector of length equal to the number of points in X.

For closepairs and crosspairs, a list with components i and j, and possibly other components as described under Details.

The results of these functions may not agree exactly with the correct answer (as calculated by a human) and may not be consistent between different computers and different installations of R. The discrepancies arise in marginal cases where the interpoint distance is equal to, or very close to, the threshold rmax.

Floating-point numbers in a computer are not mathematical Real Numbers: they are approximations using finite-precision binary arithmetic. The approximation is accurate to a tolerance of about .Machine$double.eps. If the true interpoint distance$d$and the threshold rmax are equal, or if their difference is no more than .Machine$double.eps, the result may be incorrect.

Kest, Kcross, nndist, nncross, applynbd, markstat.

##### Aliases
• closepairs
• crosspairs
• closepaircounts
• crosspaircounts
##### Examples
a <- closepaircounts(cells, 0.1)
sum(a)

Y <- split(amacrine)
b <- crosspaircounts(Y$on, Y$off, 0.1)
Documentation reproduced from package spatstat, version 1.36-0, License: GPL (>= 2)

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