I need perspective transformation, I don't have any data about the camera, can I use neural networks for that?

Just do x=x/z; y=y/z;

I need to find real ordinates from perspective ones. and there is just a plane(z=0), I tried to find the analytical solution the equations results in a unbelievably huge equations and now my program says divided by zero in that equation and I can't debug it because of its complexity.. that's why I was seeking other methods