diameter.boxx: Geometrical Calculations for Multi-Dimensional Box
Description
Calculates the volume, diameter, shortest side,
side lengths, or eroded volume of a multi-dimensional box.
Usage
# S3 method for boxx
diameter(x)
# S3 method for boxx
volume(x)
# S3 method for boxx
shortside(x)
# S3 method for boxx
sidelengths(x)
# S3 method for boxx
eroded.volumes(x, r)
Arguments
x
Multi-dimensional box (object of class "boxx").
r
Numeric value or vector of numeric values for which eroded volumes
should be calculated.
Value
For diameter.boxx, shortside.boxx and
volume.boxx, a single numeric value.
For sidelengths.boxx, a numeric vector of length equal to
the number of spatial dimensions.
For eroded.volumes.boxx, a numeric vector of the same length
as r.
Details
diameter.boxx,
volume.boxx and shortside.boxx
compute the diameter, volume and shortest side length of the box.
sidelengths.boxx returns the lengths of each side of the box.
eroded.volumes.boxx computes, for each entry r[i],
the volume of the smaller box obtained by removing a slab of
thickness r[i] from each face of the box. This smaller box is
the subset consisting of points that lie at least r[i] units
away from the boundary of the box.
# NOT RUN { X <- boxx(c(0,10),c(0,10),c(0,5),c(0,2))
diameter(X)
volume(X)
shortside(X)
sidelengths(X)
hd <- shortside(X)/2 eroded.volumes(X, seq(0,hd, length=10))
# }