3d surface plot of an elliptic shape

I have the values of x y and z in vectors, z is found by a mathematical method. The values of x and y are based on an ellipse equation (which means I can't use linspace(min,max) on x and y because it takes points out of the elliptic boundary).

I have to do a 3d plot, can someone help?

[Fifteen12]

Have you tried ellipsoid? https://www.mathworks.com/help/matlab/ref/ellipsoid.html

[Saim]

can't use it, value of x and y are also saved in a vector.

Answer 1

[John D'Errico]

If all you want to do is plot the ellipsoid, then you are doing it the wrong way. Just use fimplicit3. You never need to compute x,y, and z at all. For example...

C = [1 2 3];
H = randn(3);H = H'*H; % just insures that H is SPD, so the result will indeed be an ellipse.

syms x y z
E = ([x,y,z] - C)*H*([x,y,z] - C).' - 1;
fimplicit3(E)
axis equal

So all you need to do is feed the defining equation to fimplicit3.