contour.loca.p: Plots of the min-sum objective function

Description

contour provides a graphical representations of min-sum objective function, which is the weighted sum of the distances to demand points (distsum).

Usage

# S3 method for loca.p
contour(
  x,
  lp = numeric(0),
  xmin = min(min(x@x), xleft),
  xmax = max(max(x@x), xright),
  ymin = min(min(x@y), ybottom),
  ymax = max(max(x@y), ytop),
  n = 100,
  img = NULL,
  xleft = min(x@x),
  ybottom = min(x@y),
  xright = max(x@x),
  ytop = max(x@y),
  ...
)

Value

contour.loca.p plots a contour plot of min-sum function (distsum).

Arguments

x: The loca.p object to compute the objective.
lp: If given, then \(l_p\) norm will be used instead of the Euclidean norm.
xmin: The minimum value for x axis.
xmax: The maximum value for x axis.
ymin: The minimum value for y axis.
ymax: The maximum value for y axis.
n: The number of divisions for grid.
img: A raster image to plot on background.
xleft: The left position of the image.
ybottom: The bottom position of the image.
xright: The right position of the image.
ytop: The top position of the image.
...: Other options.

Details

If \(p<1\) then \(l_p\) is not a norm, so only \(p>=1\) are valid values.

Examples

Run this code

# A new unweighted loca.p object
loca <- loca.p(x = c(-1, 1, 1, -1), y = c(-1, -1, 1, 1))

# The contour plot of min-sum function for loca (a loca.p object)
contour(loca)