centroid_3d_sq_dist {synr} | R Documentation |
Calculate sum of squared 3D point distances from centroid
Description
Calculates sum of squared point distances in 3D space betweeen points and their centroid.
\frac{
\sum_{i=1}^n (x_i-x_m)^2 + (y_i-y_m)^2 + (z-z_m)^2
}{
sum_(i=1)^n ((x - x_m)^2 + (y - y_m)^2 + (z - z_m)^2)
}
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.
Usage
centroid_3d_sq_dist(point_matrix)
Arguments
point_matrix |
An n-by-3 numerical matrix where each row corresponds to a single point in 3D space. |
[Package synr version 1.0.0 Index]