How do you rotate an ellispoid?

So I have an ellispoid plotted in MATLAB. And I want to make an animation of this ellipsoid being rotated around its center with a certain speed. And possibly even save this animation as a gif or something. Is this possible? And how can I do it?

Answer 1

[KSSV]

Proceed something like this:

xc=50; %xCenter
yc=50; %yCenter
a=25; %xRad
b=100; %yRad
m = 1000;

theta = linspace(0,2*pi,m)';
x = a * cos(theta);
y = b * sin(theta);

alpha = linspace(0,2*pi) ;

figure(1)
filename = 'test.gif';

for i = 1:100
    
    R  = [cos(alpha(i)) -sin(alpha(i)); ...
        sin(alpha(i))  cos(alpha(i))];
    rCoords = R*[x' ; y'];
    xr = rCoords(1,:)';
    yr = rCoords(2,:)';
    
    plot(xc+xr,yc+yr,'b');
    
    drawnow
    frame = getframe(1);
    im = frame2im(frame);
    [imind,cm] = rgb2ind(im,256);
    if i == 1
        imwrite(imind,cm,filename,'gif', 'Loopcount',inf);
    else
        imwrite(imind,cm,filename,'gif','WriteMode','append');
    end
end

[Ali Almakhmari]

This is really good! However, this rotates an ellipse and not elliposid (an ellipsoid is an ellipse in 3D). Can you somehow make it work for an ellispoid?

Edit: Nevermind. I easily replaced few lines in the loop with the rotate command and it worked. Thanks!

Answer 2

[Matt J]

Use rotate.