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