diameter.box3
Geometrical Calculations for Three-Dimensional Box
Calculates the volume, diameter, shortest side, side lengths, or eroded volume of a three-dimensional box.
Usage
## S3 method for class 'box3':
diameter(x)## S3 method for class 'box3':
volume(x)
shortside(x)
sidelengths(x)
eroded.volumes(x, r)
## S3 method for class 'box3':
shortside(x)
## S3 method for class 'box3':
sidelengths(x)
## S3 method for class 'box3':
eroded.volumes(x, r)
Arguments
- x
- Three-dimensional box (object of class
"box3"
). - r
- Numeric value or vector of numeric values for which eroded volumes should be calculated.
Details
diameter.box3
computes the diameter of the box.
volume.box3
computes the volume of the box.
shortside.box3
finds the shortest of the three side lengths
of the box.
sidelengths.box3
returns all three side lengths
of the box.
eroded.volumes
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.
Value
- For
diameter.box3
,shortside.box3
andvolume.box3
, a single numeric value. Forsidelengths.box3
, a vector of three numbers. Foreroded.volumes
, a numeric vector of the same length asr
.
See Also
Examples
X <- box3(c(0,10),c(0,10),c(0,5))
diameter(X)
volume(X)
sidelengths(X)
shortside(X)
hd <- shortside(X)/2
eroded.volumes(X, seq(0,hd, length=10))