Volume computation
This function calculates the volume of the α-shape of a given sample of points in the three-dimensional space.
volume_ashape3d(as3d, byComponents = FALSE, indexAlpha = 1)
as3d |
An object of class |
byComponents |
Logical, if FALSE (default) |
indexAlpha |
A single value or vector with the indexes of
|
The function volume_ashape3d computes the volume of the
α-shape for each value of α in
as3d$alpha[indexAlpha] when indexAlpha is numeric.
If indexAlpha="all" or indexAlpha="ALL" then the function
computes the volume of the α-shape for all values of α
in as3d$alpha.
If indexAlpha is a single value then the function returns the
volume of the α-shape (if the argument byComponents is set
to FALSE) or a vector with the volumes of each connected component of the
α-shape (if the argument byComponents is set to TRUE).
Otherwise volume_ashape3d returns a list (each object in the list as
described above).
C1 <- matrix(runif(6000), nc = 3) C2 <- matrix(runif(6000), nc = 3) + 2 x <- rbind(C1, C2) ashape3d.obj <- ashape3d(x, alpha = 0.75) plot(ashape3d.obj, byComponents = TRUE) # Compute the volume of the alpha-shape volume_ashape3d(ashape3d.obj) # Compute the volumes of the connected components of the alpha-shape volume_ashape3d(ashape3d.obj, byComponents = TRUE)
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