Robotica · 2013 · 33 citations · 19 references
EngineeringComputer ScienceRobotics EngineeringMotion PlanningPath PlanningRoboticsOptimal ControlProbabilistic RoadmapsRedundancy ResolutionRobot Configuration SpaceRobot Motion PlanningTrajectory GenerationConfiguration Space AnalysisFree Configuration SpaceMorse FunctionsMotion Planning In Configuration SpaceReal-time Motion ControlRobot Path PlanningTrajectory Planning
SUMMARY We introduce a novel probabilistic algorithm (CPRM) for real-time motion planning in the configuration space ${\EuScript C}$ . Our algorithm differs from a probabilistic road map (PRM) algorithm in the motion between a pair of anchoring points (local planner) which takes place on the boundary of the obstacle subspace ${\EuScript O}$ . We define a varying potential field f on ∂ ${\EuScript O}$ as a Morse function and follow $\vec{\nabla} f$ . We then exemplify our algorithm on a redundant worm climbing robot with n degrees of freedom and compare our algorithm running results with those of the PRM.
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Sampling-based roadmap of trees for parallel motion planning
Erion Plaku, Kostas E. Bekris, B.Y. Chen et al. · IEEE Transactions on Robotics · 2005 · 172 citations