A swath generation apparatus (SGA) (10) creates a curved swath path (102S=2) from a baseline swath path (102S=1) for an agricultural vehicle with an associated implement. The baseline swath path (102S=1) has a plurality of position data points (104), comprising at least three spaced apart position data points (104) defining a first curvature and a baseline length. The SGA (10) creates at least one adjacent swath path (102S=2) generally parallel to the baseline swath path (102S=1) and spaced apart from the baseline swath path by the swath width (110), the at least one adjacent swath path having a second curvature slightly differing from the first curvature.