Convert Ellipsoids to Ellipses

Finds ellipses from the intersection of ellipsoids with a plane

Finds ellipses from the intersection of ellipsoids with a plane

function Ellipses=Ellipsoids2Ellipses(Ellipsoids,YPlane)

Input
Ellipsoids: (N*9) array. each column 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
YPlane: Cut Ellipsoids that intersect with plane "Y=YPlane"

Output
Ellipses: (N*5) array. each column represent:
(:,1): radius of ellipses at direction 1
(:,2): radius of ellipses at direction 2
(:,3): x-cooridante of centroid
(:,4): y-coordinate of centroid
(:,5): Inclination angle