Intersection Arbitrary Ellipsoid and a Plane

This function computes the intersection any Ellipsoid and a Plane,

Arbitrary ELIPSOID and A PLANE INTERSECTION

function[Aye,Bye,qx,qy,qz]=intersection_elipsoid_plane2(elp,plane)

% Plane equation AA.x + BB.y + CC.z+ DD = 0

% Standart Ellipsoid equation (x/a)^2 + (y/b)^2 + (z/c)^2 = 1

% Arbitrary Ellipsoid equation Ax^2 + By^2 + Cz^2 +2 Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Iz + J = 0

% Author: Sebahattin Bektas,Ondokuz Mayis University,2015

%

% Inputs -----------------------------------------------------------------

% Plane=[AA BB CC DD] :Plane equation's coefficients 1x4

%

% for standard ellipsoid elp must be 1x3 =[a b c]

% for arbitrary ellipsoid elp must be 1x10 =[ A B C D E F G H I J]

%

% elp=[a b c]: Semi-axes of standart ellipsoid

% or

% elp=[ A B C D E F G H I J]: Arbitrary Ellipsoid coefficient

% Outputs ----------------------------------------------------------------

% Aye: Semi-major axis of intersection ellipse

% Bye: Semi-minor axis of intersection ellipse

%

% qx,qy,qz : Cartesian coordinates of intersection ellipse's center

% This source code is given for free! However, I would be grateful if you refer

% to corresponding article in any academic publication that uses

% this code or part of it.

% Please refer to:

% BEKTAS, S Orthogonal distance from an ellipsoid. Bol. Ciênc. Geod. [online]. 2014, vol.20, n.4, pp. 970-983. ISSN 1982-2170.

% BEKTAS, S Intersection of an Ellipsoid and a Plane,International Journal of Research in Engineering and Applied Sciences VOLUME 6,ISSUE 6,2016