Equation of a Surface

Hello, I have a shape that is nearly a semi ellipsoid meaning it is flat on one side but rounded on all others in nearly parabolic ways. I have the equations of the crossections on the xy, xz, and yz planes (i.e. z = f(y) for the yz plane, z = f(x) for the xz plane, and 0 =f(x,y) for the xy plane). I want to get a function of two variables x,y such that I plug in any point and out comes the height z of my function. Is there a way to get this function in MATLAB?

[John D'Errico]

Merely knowing the projections of your surface in several planes is not sufficient to know the surface.

[darova]

Attach the data, attach the code. Show some pictures