rMatClust
Simulate Matern Cluster Process
Generate a random point pattern, a simulated realisation of the Mat'ern Cluster Process.
Usage
rMatClust(kappa, r, mu, win = owin(c(0,1),c(0,1)))Arguments
- 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 toas.owin.
Details
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.
Value
- 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.
See Also
Examples
pp <- rMatClust(10, 0.05, 4)