R: Poisson Line Tessellation

rpoislinetess {spatstat} | R Documentation

## 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 Baddeley Adrian.Baddeley@curtin.edu.au

and Rolf Turner r.turner@auckland.ac.nz

### See Also

`rpoisline` to generate the lines only.

### Examples

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

[Package spatstat version 1.54-0 Index]