# diameter.boxx

0th

Percentile

##### Geometrical Calculations for Multi-Dimensional Box

Calculates the volume, diameter, shortest side, or eroded volume of a multi-dimensional box.

Keywords
spatial, math
##### Usage
## S3 method for class 'boxx':
diameter(x)
## S3 method for class 'boxx':
volume(x)
## S3 method for class 'boxx':
shortside(x)
## S3 method for class '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.
##### Details

diameter.boxx, volume.boxx and shortside.boxx compute the diameter, volume and shortest side length 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.

##### Value

• For diameter.boxx, shortside.boxx and volume.boxx, a single numeric value. For eroded.volumes.boxx, a numeric vector of the same length as r.

boxx

##### Aliases
• diameter.boxx
• volume.boxx
• shortside.boxx
• eroded.volumes.boxx
##### Examples
X <- boxx(c(0,10),c(0,10),c(0,5))
diameter(X)
volume(X)
shortside(X)
hd <- shortside(X)/2
eroded.volumes(X, seq(0,hd, length=10))
Documentation reproduced from package spatstat, version 1.23-3, License: GPL (>= 2)

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