# rMatClust

From spatstat v1.4-3
by Adrian Baddeley

##### Simulate Matern Cluster Process

Generate a random point pattern using the Mat'ern Cluster Process.

- Keywords
- spatial

##### Usage

`rMatClust(lambda, r, mu, win = owin(c(0,1),c(0,1)))`

##### Arguments

- lambda
- 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 `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.

##### Value

- The simulated point pattern (an object of class
`"ppp"`

).

##### See Also

##### Examples

`pp <- rMatClust(10, 0.05, 4)`

*Documentation reproduced from package spatstat, version 1.4-3, License: GPL version 2 or newer*

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