spatstat (version 1.31-3)

rGaussPoisson: Simulate Gauss-Poisson Process

Description

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

Usage

rGaussPoisson(kappa, r, p2, 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

Diameter of each cluster that consists of exactly 2 points.

p2

Probability that a cluster contains exactly 2 points.

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").

  Additionally, some intermediate results of the simulation are returned as attributes of this point pattern. See rNeymanScott.

Details

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

Examples

pp <- rGaussPoisson(30, 0.07, 0.5)