Proceedings. 1987 IEEE International Conference on Robotics and Automation
DOI: 10.1109/robot.1987.1087801
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Navigation algorithm for a nested hierarchical system of robot path planning among polyhedral obstacles

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Cited by 11 publications
(3 citation statements)
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“…Algorithms based upon visibility lines became a standard solution [393,394], • Planning of optimum tracking was performed as scheduling of motion for the trajectory that was preassigned as a contour [386]. Dealing with disturbances was interpreted as a part of following preassigned trajectory [387] [397], The theoretical background for these efforts was presented [398].…”
Section: Planningmentioning
confidence: 99%
“…Algorithms based upon visibility lines became a standard solution [393,394], • Planning of optimum tracking was performed as scheduling of motion for the trajectory that was preassigned as a contour [386]. Dealing with disturbances was interpreted as a part of following preassigned trajectory [387] [397], The theoretical background for these efforts was presented [398].…”
Section: Planningmentioning
confidence: 99%
“…The navigation problem is usually expressed mathematically as the 'Piano Mover's Problem' (Canny, 1985), also referred to as the 'Routing' (Cesarone andEman, 1988 andRichbourg et al, 1987), 'Find path' (Brooks, 1982 andBrooks andLozano-Ptrez, 1983), 'Path Planning' (Bao and Lin, 1988;Kambhampati and Davis, 1986;Montgomery et al, 1987 andThorpe, 1984), 'Motion Planning' (Schwartz and Sharir, 1988), 'Collision Avoidance' (Hong and Mauceri, 1986) problem and so on. After all, these problems are dealing with finding the safest (some also achieve shortest) path automatically for the moving object, within a known (have the map in advance) or unknown (gathering information step by step from sensor device) territory which might be a two-dimensional plane or three-dimensional space, and the obstacles might be movable or immovable.…”
Section: Approaches To Navigation Problemsmentioning
confidence: 99%
“…These edges are then filtered for finding the shortest valid path between the source and destination along a series of edges using standard graph algorithms. These methods suffer from the problem of rapid increases in computational time and memory for large and complex maps [9] [10]. Another popular approach is called weighted graph [11], which divides search space into a number of discrete regions, called cells, and restrict movement from a particular space cell to its neighbour.…”
Section: Introductionmentioning
confidence: 99%