# connected.ppp

0th

Percentile

##### Connected Components of a Point Pattern

Finds the topologically-connected components of a point pattern, when all pairs of points closer than a threshold distance are joined.

Keywords
spatial, math
##### Usage
# S3 method for ppp
connected(X, R, …)
##### Arguments
X

A point pattern (object of class "ppp").

R

Threshold distance. Pairs of points closer than R units apart will be joined together.

Other arguments, not recognised by these methods.

##### Details

This function can be used to identify clumps of points in a point pattern.

The function connected is generic. This is the method for point patterns (objects of class "ppp").

The point pattern X is first converted into an abstract graph by joining every pair of points that lie closer than R units apart. Then the connected components of this graph are identified.

Two points in X belong to the same connected component if they can be reached by a series of steps between points of X, each step being shorter than R units in length.

The result is a vector of labels for the points of X where all the points in a connected component have the same label.

##### Value

A point pattern, equivalent to X except that the points have factor-valued marks, with levels corresponding to the connected components.

connected.im, im.object, tess

##### Aliases
• connected.ppp
##### Examples
# NOT RUN {
Y <- connected(redwoodfull, 0.1)
if(interactive()) {
plot(Y, cols=1:length(levels(marks(Y))),
main="connected(redwoodfull, 0.1)")
}
# }

Documentation reproduced from package spatstat, version 1.49-0, License: GPL (>= 2)

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