rMaternII(kappa, r, win = owin(c(0,1),c(0,1)))
"owin"or something acceptable to
The process is constructed by first
generating a uniform Poisson point process of ``proposal'' points
kappa inside the window.
Then each proposal point is marked by an ``arrival time'', a number
uniformly distributed in $[0,1]$ independently of other variables.
A proposal point is deleted if it lies within
r units' distance
of another proposal point that has an earlier arrival time.
Otherwise it is retained.
The retained points constitute Mat'ern's Model II.
The difference between Mat'ern's Model I and II is the italicised statement above. Model II has a higher intensity for the same parameter values.