rpoislinetess: Poisson Line Tessellation

In spatstat.random: Random Generation Functionality for the 'spatstat' Family

Poisson Line Tessellation

Description

Generate a tessellation delineated by the lines of the Poisson line process

Usage

rpoislinetess(lambda, win = owin())

Arguments

lambda	Intensity of the Poisson line process. A positive number.
win	Window in which to simulate the pattern. An object of class "owin" or something acceptable to as.owin. Currently, the window must be a rectangle.

Details

This algorithm generates a realisation of the uniform Poisson line process, and divides the window win into tiles separated by these lines.

The argument lambda must be a positive number. It controls the intensity of the process. The expected number of lines intersecting a convex region of the plane is equal to lambda times the perimeter length of the region. The expected total length of the lines crossing a region of the plane is equal to lambda * pi times the area of the region.

Value

A tessellation (object of class "tess").

Also has an attribute "lines" containing the realisation of the Poisson line process, as an object of class "infline".

Author(s)

\adrian

and \rolf.

See Also

rpoisline to generate the lines only.

Examples

 X <- rpoislinetess(3)
 plot(as.im(X), main="rpoislinetess(3)")
 plot(X, add=TRUE)

spatstat.random documentation built on June 8, 2025, 10:59 a.m.