point_3d_variance: Calculate sample variance of 3D point distance from centroid

Description Usage Arguments Value Details See Also

View source: R/point_3d_variance.R

Description

Calculates sample variance of points' distances in 3D space from their centroid. This function is normally only used indirectly through 'validate_get_twcv'.

Usage

1
point_3d_variance(point_matrix)

Arguments

point_matrix

An n-by-3 numerical matrix where each row corresponds to a single point in 3D space.

Value

A one-element numeric vector holding calculated variance

Details

The variance here is taken to mean the sum of variances for each dimension/axis:

sum_(i=1)^n ((x - x_m)^2 + (y - y_m)^2 + (z - z_m)^2) / (n - 1)

Where X/Y/Z represent one axis each, a_m represents the mean of all points' coordinates on an axis, and n represents the total number of points.

See Also

centroid_3d_sq_dist


synr documentation built on Nov. 25, 2021, 1:06 a.m.