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.

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.