In an improved method for the representation of the surface of an object, the actual 3D data (7) of the surface of the object are determined. The desired 3D data of the surface of the object are modified on the basis of the actual 3D data (7) of the surface of the object. The desired 3D data (5) of the surface of the object and the modified desired 3D data (5) of the surface of the object are used as the 3D representation data (FIG. 2).