Bounding Box of Ellipsoid

Finds bounding box of an ellipsoid

Finds bounding box of an ellipsoid using the formulas in the reference [1].

function [xb, yb, zb]=bounding_box(Ellipsoid)

Input
Ellipsoid is (1*9) array. each cell represent:
(1): radius of ellipsoids at direction 1
(2): radius of ellipsoids at direction 2
(3): radius of ellipsoids at direction 3
(4): x-cooridante of centroid
(5): y-coordinate of centroid
(6): z-coordinate of centroid
(7): Inclination angle 1
(8): Inclination angle 2
(9): Inclination angle 3
Output
xb: [xmin xmax] x bounadries of the bounding box
yb: [xmin xmax] y bounadries of the bounding box
zb: [xmin xmax] z bounadries of the bounding box

References:
[1] Barnes, T. "Exact bounding boxes for spheres/ellipsoids." (2014).
https://tavianator.com/exact-bounding-boxes-for-spheres-ellipsoids/