spatstat (version 1.3-4)

spokes: Spokes pattern of dummy points

Description

Generates a pattern of dummy points in a window, given a data point pattern. The dummy points lie on the radii of circles emanating from each data point.

Usage

spokes(x, y, nrad = 3, nper = 3, fctr = 1.5, Mdefault = 1)

Arguments

x

Vector of $x$ coordinates of data points.

y

Vector of $y$ coordinates of data points.

nrad

Number of radii emanating from each data point.

nper

Number of dummy points per radius.

fctr

Scale factor. Length of largest spoke radius is fctr * M where M is the mean nearest neighbour distance for the data points.

Mdefault

Value of M to be used if x has length 1.

Value

• A list with two components x and y, which are numeric vectors giving the coordinates of the dummy points.

Details

This function is useful in creating dummy points for quadrature schemes (see quadscheme).

Given the point pattern specified by the vectors x and y, the function creates a pattern of nrad * nper * length(x) dummy points.

Around each data point (x[i],y[i]) there are nrad * nper dummy points, lying on nrad radii emanating from (x[i],y[i]), with nper dummy points equally spaced along each radius.

The (equal) spacing of dummy points along each radius is controlled by the factor fctr. The distance from a data point to the furthest of its associated dummy points is fctr * M where M is the mean nearest neighbour distance for the data points.

If the point pattern specified by x and y contains only one point, the nearest neighbour distance is infinite, so the value Mdefault will be used in place of M.

See Also

quad.object, quadscheme, inside.owin, gridcentres, stratrand

Examples

library(spatstat)
  dat <- runifrect(10)
  plot(dat)
  dum <- spokes(dat$x, dat$y)
  points(dum$x, dum$y, pch=".")
  Q <- quadscheme(dat, dum)