# rMaternI: Simulate Matern Model I

## Description

Generate a random point pattern, a simulated realisation of the
Mat'ern Model I inhibition process model.## Usage

rMaternI(kappa, r, win = owin(c(0,1),c(0,1)))

## Arguments

kappa

Intensity of the Poisson process of proposal points.
A single positive number.

win

Window in which to simulate the pattern.
An object of class `"owin"`

or something acceptable to `as.owin`

. ## Value

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

).

## Details

This algorithm generates a realisation of Mat'ern's Model I
inhibition process
inside the window `win`

. The process is constructed by first
generating a uniform Poisson point process of ``proposal'' points
with intensity `kappa`

inside the window.
A proposal point is deleted if it lies within `r`

units' distance
of another proposal point. Otherwise it is retained.
The retained points constitute Mat'ern's Model I.