Generate N Uniform Random Points On Line Segments

Description

Given a line segment pattern, generate a random point pattern consisting of n points uniformly distributed on the line segments.

Usage

runifpointOnLines(n, L)

Arguments

Details

This command generates a point pattern consisting of n independent random points, each point uniformly distributed on the line segment pattern. This means that, for each random point,

• the probability of falling on a particular segment is proportional to the length of the segment; and

• given that the point falls on a particular segment, it has uniform probability density along that segment.

If n is a single integer, the result is an unmarked point pattern containing n points. If n is a vector of integers, the result is a marked point pattern, with m different types of points, where m = length(n), in which there are n[j] points of type j.

Value

A point pattern (object of class "ppp") with the same window as L.

Author(s)

Adrian Baddeley Adrian.Baddeley@uwa.edu.au http://www.maths.uwa.edu.au/~adrian/ and Rolf Turner r.turner@auckland.ac.nz

See Also

psp, ppp, pointsOnLines, runifpoint

Examples

  X <- psp(runif(10), runif(10), runif(10), runif(10),  window=owin())
  Y <- runifpointOnLines(20, X)
  plot(X, main="")
  plot(Y, add=TRUE)
  Z <- runifpointOnLines(c(5,5), X)