View source: R/centroid_3d_sq_dist.R

centroid_3d_sq_dist | R Documentation |

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)
```

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

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