spatstat.random (version 3.3-3)

rpoislinetess: Poisson Line Tessellation

Description

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

Usage

rpoislinetess(lambda, win = owin())

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".

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.

Author

Adrian Baddeley and Rolf Turner .

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.

See Also

rpoisline to generate the lines only.

Examples

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