Mosaic Random Set
Generate a random set by taking a random selection of tiles of a given tessellation.
- A tessellation (object of class
- Probability of including a given tile. A number strictly between 0 and 1.
Given a tessellation
X, this function
randomly selects some of the tiles of
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
according to a Poisson line tessellation (see
- A window (object of class
Switzer, P. A random set process in the plane with a Markovian property. Annals of Mathematical Statistics 36 (1965) 1859--1863.
# 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))