2003 · 40 citations · 9 references
EngineeringComputer ScienceRobotics EngineeringComputational GeometryGeometric ModelingRoboticsCollision AvoidanceCollision DetectionGeometric OptimizationKinematicsRedundancy ResolutionRobot Motion PlanningCollision ModelingCollision-avoiding TrajectoriesMotion Planning For ManipulatorsOffline ProgrammingOffline Robot ProgrammingRobot Trajectory GenerationRobotic ApplicationsTrajectory Planning For Collision Avoidance
The author presents an offline programming system specially designed for complex robotic applications (e.g., intervention of redundant manipulators in a nuclear plant). It uses hierarchical CAD models of solids and manipulators. These models are derived from constructive solid geometry trees and combine simple volume primitives with union or difference set operations. They offer different levels of description of the objects and enable an efficient computation of local minima of the distance between points of the objects. By setting constraints on the variation of the distance at these points, it is possible to produce collision-free trajectories achieving complex tasks with Cartesian and/or joint parameter goals.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Spatial Planning: A Configuration Space Approach
Tomás Lozano‐Pérez · IEEE Transactions on Computers · 1983 · 2.1K citations
Complexity of the mover's problem and generalizations
John H. Reif · 1979 · 769 citations