spatstat (version 1.16-1)

rGaussPoisson: Simulate Gauss-Poisson Process


Generate a random point pattern, a simulated realisation of the Gauss-Poisson Process.


rGaussPoisson(kappa, r, p2, win = owin(c(0,1),c(0,1)))


Intensity of the Poisson process of cluster centres. A single positive number, a function, or a pixel image.
Diameter of each cluster that consists of exactly 2 points.
Probability that a cluster contains exactly 2 points.
Window in which to simulate the pattern. An object of class "owin" or something acceptable to as.owin.


  • 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.


This algorithm generates a realisation of the Gauss-Poisson point 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 either retained (with probability 1 - p2) or replaced by a pair of points at a fixed distance r apart (with probability p2). In the case of clusters of 2 points, the line joining the two points has uniform random orientation.

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.

See Also

rpoispp, rThomas, rMatClust, rNeymanScott


Run this code
pp <- rGaussPoisson(30, 0.07, 0.5)

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