Volume computation

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Description

This function calculates the volume of the α-shape of a given sample of points in the three-dimensional space.

Usage

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volume_ashape3d(as3d, byComponents = FALSE, indexAlpha = 1)

Arguments

as3d

An object of class "ashape3d" that represents the α-shape of a given sample of points in the three-dimensional space, see ashape3d.

byComponents

Logical, if FALSE (default) volume_ashape3d computes the volume of the whole α-shape. If TRUE, volume_ashape3d computes the volume of each connected component of the α-shape separately.

indexAlpha

A single value or vector with the indexes of as3d$alpha that should be used for the computation, see Details.

Details

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.

Value

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).

See Also

ashape3d, components_ashape3d

Examples

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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)