Real-time obstacle avoidance for manipulators and mobile robots
International Journal of Robotics Research
Structuring Free Space as a Hypergraph for Roving Robot Path Planning and Navigation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some algebraic and geometric computations in PSPACE
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Geometrical motion planning for highly redundant manipulators using a continuous model
Geometrical motion planning for highly redundant manipulators using a continuous model
Fundamentals of Robot Technology
Fundamentals of Robot Technology
Spatial Planning: A Configuration Space Approach
IEEE Transactions on Computers
Design of a snake-like manipulator
Robotics and Autonomous Systems
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There is a need for highly redundant manipulators to work in complex, cluttered environments. Our goal is to plan paths for such manipulators efficiently. The path planning problem has been shown to be PSP ACE-complete in terms of the number of degrees of freedom (DOF) of the manipulator. We present a method which overcomes the complexity with a strong heuristic: utilizing redundancy by means of a continuous manipulator model. The continuous model allows us to change the complexity of the problem from a function of both the DOF of the manipulator (believed to be exponential) and the complexity of the environment (polynomial), to a polynomial function of the complexity of the environment only.