Real-time obstacle avoidance for manipulators and mobile robots
International Journal of Robotics Research
Planning, geometry, and complexity of robot motion
Planning, geometry, and complexity of robot motion
OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Robot Motion Planning
A practical exact motion planning algorithm for polygonal object amidst polygonal obstacles
Proceedings of the Workshop on Geometry and Robotics
Retraction: A new approach to motion-planning
STOC '83 Proceedings of the fifteenth annual ACM symposium on Theory of computing
Spatial Planning: A Configuration Space Approach
IEEE Transactions on Computers
Dimensional synthesis of kinematically redundant serial manipulators for cluttered environments
Robotics and Autonomous Systems
Small tree probabilistic roadmap planner for hyper-redundant manipulators
AIS'11 Proceedings of the Second international conference on Autonomous and intelligent systems
Robotics and Autonomous Systems
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Motion planning for hyper-redundant manipulators in a complicated and cluttered workspace is a challenging problem. Many of the path planning algorithms, based on cell decomposition or potential field, fail due to the high dimensionality and complex nature of the C-space. Probabilistic roadmap methods (PRM) which have been proven to be successful in high dimensional C-spaces suffer from the drawback of generating paths which involve a lot of redundant motion. In this paper, we propose a path optimizing method to improve a given path in terms of path length and the safety against the collisions, using a variational approach. The capability of variational calculus to optimize a path is demonstrated on a variety of examples. The approach succeeds in providing a good quality path even in high dimensional C-spaces.