computer graphics homework

Generate a superquadric (super-ellipsoid, or super-toroid) by using the parametric formulas. This should then be either interactively, or through an animation sequence deformed using free-form deformations. The resolution of the control lattice (three dimensional grid) for the deformation should be changeable by the user. The deforming object should be Phong shaded, perspective projected and hidden surfaces removed. For shading, hidden surface removal and projection, you can use GL functions, the rest of the code should be prepared by you.