IEEE Journal on Robotics and Automation · 1986 · 30 citations · 12 references
ComputingSpatial PlanningComputational GeometryMotion PlanningPath PlanningCamera ProjectionCollision DetectionMulti-view GeometryObstacle AvoidanceRobot Motion PlanningThree-dimensional GeometryCamerasCollision CheckingHierarchical Space DecompositionHierarchical Space RepresentationMotion Planning In Configuration SpacePath Planning For Collision AvoidanceRobot Collision CheckingTrajectory Planning For Collision Avoidance
A methodology for three-dimensional collision-free path planning by which planning is done in the three-dimensional orthogonal two-dimensional projections of a three-dimensional environment is presented, Collision checking is done in each of the three orthogonal two-dimensional subspaces using primitive path segments. A hierarchical-path search method is used to speed up the search process. This approach forms basis for spatial planning in environments where no a priori knowledge is assumed. The three orthogonal two-dimensional projections can be readily obtained from three orthogonal cameras in simple environments.
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A note on two problems in connexion with graphs
E. Dijkstra · Numerische Mathematik · 1959 · 23.8K citations
Spatial Planning: A Configuration Space Approach
Tomás Lozano‐Pérez · IEEE Transactions on Computers · 1983 · 2.1K citations