Ellipsoid plot_ wireframe view

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Vikas Saroha
Vikas Saroha on 26 Aug 2019
Commented: Vikas Saroha on 26 Aug 2019
Hello, I have plotted ellipsoids using 'surf' command at some fixed points. It looks like solid. But i want to see three axis of it as shown in figure attached. Please suggest.

Accepted Answer

Bruno Luong
Bruno Luong on 26 Aug 2019
Edited: Bruno Luong on 26 Aug 2019
[Q,~] = qr(randn(3));
h = rand(3,1);
h1 = h(1);
h2 = h(2);
h3 = h(3);
% If your principal axis are (3x1) P1, P2, P3 and half length are (scalars) h1, h2, h3
% Q = [P1(:), P2(:), P3(:)];
Q = Q .* ([h1, h2, h3]./sqrt(sum(Q.^2,1)));
n = 21;
[x,y,z]=sphere(n);
xyz = Q*[x(:) y(:) z(:)]';
x = reshape(xyz(1,:),[n n]+1);
y = reshape(xyz(2,:),[n n]+1);
z = reshape(xyz(3,:),[n n]+1);
close all
hold on
surf(x,y,z,'EdgeColor',0.6+[0 0 0],'FaceColor','none');
for k=1:3
plot3([0 Q(1,k)],[0 Q(2,k)],[0 Q(3,k)],'r','LineWidth',2);
end
axis equal
This is a slight modification of my answer in this thread
  3 Comments
Bruno Luong
Bruno Luong on 26 Aug 2019
Error occuring or not depends on your MATLAB version, this command is correct for R2016b and later.
If you use previous you should replace with
Q = bsxfun(@times, Q, ([h1, h2, h3]./sqrt(sum(Q.^2,1))))
Vikas Saroha
Vikas Saroha on 26 Aug 2019
thanks for your prompt reply. Its working.

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