rMosaicSet

From spatstat v1.42-2 by Adrian Baddeley

Mosaic Random Set

Generate a random set by taking a random selection of tiles of a given tessellation.

Keywords: spatial, datagen

Usage

rMosaicSet(X, p=0.5)

Arguments

X: A tessellation (object of class "tess").
p: Probability of including a given tile. A number strictly between 0 and 1.

Details

Given a tessellation X, this function randomly selects some of the tiles of X, including each tile with probability $p$ independently of the other tiles. The selected tiles are then combined to form a set in the plane.

One application of this is Switzer's (1965) example of a random set which has a Markov property. It is constructed by generating X according to a Poisson line tessellation (see rpoislinetess).

Value

A window (object of class "owin").

References

Switzer, P. A random set process in the plane with a Markovian property. Annals of Mathematical Statistics 36 (1965) 1859--1863.

Examples

# Switzer's random set
   X <- rpoislinetess(3)
   plot(rMosaicSet(X, 0.5), col="green", border=NA)

   # another example
   plot(rMosaicSet(dirichlet(runifpoint(30)), 0.4))

Documentation reproduced from package spatstat, version 1.42-2, License: GPL (>= 2)

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