2009 IEEE/RSJ International Conference on Intelligent Robots and Systems 2009
DOI: 10.1109/iros.2009.5354168
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Collision-probability constrained PRM for a manipulator with base pose uncertainty

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Cited by 22 publications
(16 citation statements)
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“…A standard measure in finding a safe path is to define a probability of collision with an obstacle. Resulting paths can be chosen that balance optimality and risk [22,23]. In [24], an optimal path is found subject to a maximum allowable probability of collision (typically called a "chance constraint").…”
Section: Planning With Uncertaintymentioning
confidence: 99%
“…A standard measure in finding a safe path is to define a probability of collision with an obstacle. Resulting paths can be chosen that balance optimality and risk [22,23]. In [24], an optimal path is found subject to a maximum allowable probability of collision (typically called a "chance constraint").…”
Section: Planning With Uncertaintymentioning
confidence: 99%
“…Motion planning for articulated robot arms is typically done with sampling based motion planners, Rapidly-Exploring Random Tree [3] being a classical approach. These planners can only guarantee a single path to be collision free, unless planning for a set of particles representing uncertainty in a starting pose [4]. Even though a number of attempts have been made to speed up path planning, including both tree structure optimization [5] and sampling methods [6], [7], it is still expensive to plan paths for many particles.…”
Section: Related Workmentioning
confidence: 99%
“…Applied to this setting, MCR finds the path that minimizes probability of collision. Huang and Gupta (2009) considered a related problem of chanceconstrained optimal planning, and they present an approximate planner for computing the minimum length path on a given roadmap that exceeds a collision probability threshold [9].…”
Section: Applicationsmentioning
confidence: 99%