# 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 to`as.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)`

*Documentation reproduced from package spatstat, version 1.10-2, License: GPL version 2 or newer*