Generate a random set by taking a random selection of tiles of a given tessellation.
rMosaicSet(X, p=0.5)
A tessellation (object of class "tess"
).
Probability of including a given tile. A number strictly between 0 and 1.
A window (object of class "owin"
).
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
).
Switzer, P. A random set process in the plane with a Markovian property. Annals of Mathematical Statistics 36 (1965) 1859--1863.
# NOT RUN { # 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)) # }
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