| rMatClust {spatstat} | R Documentation |
Generate a random point pattern, a simulated realisation of the Mat'ern Cluster Process.
rMatClust(kappa, r, mu, win = owin(c(0,1),c(0,1)))
kappa |
Intensity of the Poisson process of cluster centres. A single positive number, a function, or a pixel image. |
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 Poisson point process of ``parent'' points
with intensity kappa. 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").
Additionally, some intermediate results of the simulation are
returned as attributes of this point pattern.
See rNeymanScott.
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
rpoispp,
rThomas,
rNeymanScott
pp <- rMatClust(10, 0.05, 4)