spatstat (version 1.42-2)

rMosaicSet: Mosaic Random Set

Description

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

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.

Value

• A window (object of class "owin").

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).

References

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

See Also

rpoislinetess, rMosaicField

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))