plotting ellipsoid in matlab

hi, I want to plot an ellipsoid in matlab given my equation as v=a*x.^2+b*y.^2+c*z.^2+d*x.*y+e=0; where a,b,c,d,e are constants acting as coefficients of the equation.Also I want to observe different ellipse by whose combination ellipsoid is made of. Further I want to do this for range of values of x , y and z.please guide me how can i do this.

my work: %I have assigned values to a,b,c,d,e.alp and beta....the further cose is given below. [Y,X,Z] = ndgrid(linspace(beta,-beta,100),linspace(-alp,alp,100),linspace(-100000000,100000000,100)); V = a*X.^2+b*Y.^2+d*(Z).^2+c*X.*Y-1; % evaluate your implicit function

p = patch(isosurface(X,Y,Z,V,0));

isonormals(X,Y,Z,V,p);

set(p,'FaceColor','c','Marker','d','FaceLighting','gouraud','EdgeLighting','gouraud','FaceAlpha',0,'EdgeColor','y');

daspect([1 1 1]) axis square; grid on; camlight view(-27,46); lighting gouraud

Answer 1

[Image Analyst]

Did you know there's an ellipsoid() function:

[x,y,z] = ellipsoid(xc,yc,zc,xr,yr,zr,n) 
generates a surface mesh described by 
three n+1-by-n+1 matrices, enabling surf(x,y,z) 
to plot an ellipsoid with center (xc,yc,zc) and semi-axis lengths (xr,yr,zr).

[Harris John]

The user is asking for a rotated ellipsoid equation hence the matlab implementation doesnt work.

[Image Analyst]

If you knew the angle the axis was rotated by, you could multiply x, y, and z by the rotation matrix.