rMosaicSet

0th

Percentile

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.

See Also

rpoislinetess, rMosaicField

Aliases
  • rMosaicSet
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 1.31-3, License: GPL (>= 2)

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