Abstract: The present invention relates to a method of determining the path of a vehicle along a two-dimensional plane intended to control the movement of the vehicle by means of a driver-assisting system, where the path interconnects an initial state and a terminal state and each of the states Zi=[xi, yi, ?i, ci] along the path is characterized by four state coordinates with xi and yi being the Cartesian coordinates of a point Pi, ?i being the direction angle of the tangent line, and ci being the curvature of the path at point Pi, and where the path is made up of a number of elementary paths meeting at junction points JPi such that the four state coordinates of state Zi are characterized by a continuous transition at the junction points JPi.