KhachiyanAlgorithmM​ain

Fit ellipsoid to 3d data points using Khachiyan Algorithm. This code will find a minimum volume of ellipsoid which contains set of all the 3

Example
data= rand(100,3);

output=KhachiyanAlgorithmMain(data);
plot3(data(:,1),data(:,2),data(:,3),'b.')
hold on hsurface=surf(output.x,output.y,output.z,'FaceColor','b','EdgeColor','none','FaceAlpha',0.1);
radii=output.radii;
center=output.center;

% plot principal axis
plot3(output.minor(:,1),output.minor(:,2),output.minor(:,3),'k','linewidth',0.2) plot3(output.major(:,1),output.major(:,2),output.major(:,3),'k','linewidth',5) plot3(output.medium(:,1),output.medium(:,2),output.medium(:,3),'k','linewidth',2)

major_axis_vector=output.major(1,:)-output.major(end,:); medium_axis_vector=output.medium(1,:)-output.medium(end,:); minor_axis_vector=output.minor(1,:)-output.minor(end,:);