Clothoids are very useful for smoothing the motion of a mobile robot m
oving along a trajectory. This paper addresses the problem of smoothin
g mobile robot motions when cusps, i.e., changes of motion direction a
long the trajectory, are imposed. We pinpoint some special curves (tha
t we call ''anticlothoids'') and me discuss how they can be used toget
her with clothoids in order to smooth a predefined trajectory.