rMatClust {spatstat} | R Documentation |
Generate a random point pattern using the Mat'ern Cluster Process.
rMatClust(lambda, r, mu, win = owin(c(0,1),c(0,1)))
lambda |
Intensity of the Poisson process of cluster centres. A single positive number. |
r |
Radius parameter of the clusters. |
mu |
Mean number of points per cluster. |
win |
Window in which to simulate the pattern.
An object of class "owin"
or something acceptable to as.owin .
|
This algorithm generates a realisation of Mat'ern's cluster process
inside the window win
. The process is constructed by first
generating a uniform Poisson point process of ``parent'' points
with intensity lambda
. Then each parent point is
replaced by a random cluster of points, the number of points in each
cluster being random with a Poisson (mu
) distribution,
and the points being placed independently and uniformly inside
a disc of radius r
centred on the parent point.
In this implementation, parent points are not restricted to lie in the window; the parent process is effectively the uniform Poisson process on the infinite plane.
The simulated point pattern (an object of class "ppp"
).
Adrian Baddeley adrian@maths.uwa.edu.au http://www.maths.uwa.edu.au/~adrian/ and Rolf Turner rolf@math.unb.ca http://www.math.unb.ca/~rolf
pp <- rMatClust(10, 0.05, 4)