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Global geometric algorithms for trajectory planning are used in conjunction with a local avoidance strategy. Simulations have been developed for a mobile robot in the plane among stationary and moving obstacles. Essentially, the robot has a geometric planner that provides a coarse trajectory (the path and the velocity along it), which may be modified by a (low-level) local avoidance module if sensors detect obstacles in the vicinity of the robot. This hierarchy makes effective use of the complementarity between global trajectory planning and local obstacle avoidance.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Kant et al. (2003) studied this question.