Orientation tensor — ortensor • structr

3D orientation tensor, which characterize data distribution using eigenvalue method. See (Watson 1966, Scheidegger 1965).

Usage

# S3 method for class 'spherical'
ortensor(x, norm = TRUE, w = NULL)

ortensor(x, norm = TRUE, w = NULL)

Arguments

x: Object of class "Vec3", "Line" or "Plane"
norm: logical. Whether the tensor should be normalized or not.
w: numeric. weightings

Value

matrix

Details

The normalized orientation tensor is given as $$D = \frac{1}{n} (x_i, y_i, z_i) (x_i, y_i, z_i)^T$$ n = 1

See also

ot_eigen(), inertia_tensor()

Examples

set.seed(20250411)
x <- rfb(100, mu = Line(120, 50), k = 1, A = diag(c(10, 0, 0)))
ortensor(x)
#>             [,1]         [,2]         [,3]
#> [1,]  0.10965419 -0.129204930 -0.054102317
#> [2,] -0.12920493  0.405679195 -0.008805707
#> [3,] -0.05410232 -0.008805707  0.484666616