In order to determine an easily perceived display image for a driver assistance system, in particular a distance-measuring system or a parking assistant, a method makes use of the determination of Bezier curves on the basis of measured distance values on various measuring lines. Wherein different variants for the selection of the reference points and the curve edge points are available for the modeling and parameterization of the Bezier curves taking into account the respective current situation. It is also possible for object positions not to be taken into account under certain conditions in order to obtain smooth illustrative curves.