1. A method for the determination of a rough trajectory ( 13 ) to be followed in a positionally guided manner, executed by a computer ( 15 ), wherein an initial trajectory ( 2 ) to be followed in a positionally guided manner is input into the computer ( 15 ), wherein the initial trajectory ( 2 ) is described by an initial function (AF) so that a corresponding position (pA) on the initial trajectory ( 2 ) is determined by substituting a scalar trajectory parameter (s) into the initial function (AF), wherein the scalar trajectory parameter (s) is different from time (t) and is characteristic of a distance (s) covered along the initial trajectory ( 2 ), wherein the computer ( 15 ) filters the initial trajectory ( 2 ) with low-pass characteristics as a function of the scalar trajectory parameter (s) and thus determines a rough function (GF) such that one respective corresponding position (pG) is determined on the rough trajectory ( 13 ) by substituting the scalar trajectory parameter (s) into the rough function (GF), wherein the low-pass characteristic is referred to the scalar trajectory parameter (s), and wherein the computer ( 15 ) determines the rough function (GF) in such a manner that the distance of the rough trajectory ( 13 ) from the initial trajectory ( 2 ) always lies below a predetermined threshold (s) independently of the value of the scalar trajectory parameter (s).