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/