I. INTRODUCTION
A viable autonomous passenger vehicle must be able to plot a precise and safe trajectory through busy traffic while observing the rules of the road and minimizing risk due to unexpected events such as sudden braking or swerving by another vehicle, or the incursion of a pedestrian or animal onto the road. The planner must be able to produce a plan within a small fixed time window. In this paper we are concerned with the production of precise short-term plans of the vehicle location, valid for the next several seconds.