The present disclosure relates to a driver assistance system to support or automate the transverse control of a vehicle by applying a steering torque to an electrically assisted steering system. The driver assistance system is configured to determine a target value for a course curvature of a movement path of the vehicle (5), which the transverse control is based through a calculation of a Beziercurve. The calculation uses images of a traffic lane, recorded via a camera, located in front of the vehicle (5).