Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146)
DOI: 10.1109/robot.1998.677043
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Choosing good distance metrics and local planners for probabilistic roadmap methods

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Cited by 112 publications
(113 citation statements)
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“…Also the rotate-at-s technique did not give the improvement suggested in [1]. It should though be noticed that this can depend on the underlying collision checking package used.…”
Section: Collision Checkingmentioning
confidence: 86%
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“…Also the rotate-at-s technique did not give the improvement suggested in [1]. It should though be noticed that this can depend on the underlying collision checking package used.…”
Section: Collision Checkingmentioning
confidence: 86%
“…rotate-at-s: While the previous methods check collisions along a straight line, the rotate-at-s approach first translates from start to an intermediary configuration s halfway, then rotates, and finally translates to the endpoint [1]. We set s to 0.5.…”
Section: Collision Checkingmentioning
confidence: 99%
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“…You might have noticed that the previous metric for SO (2) does not give the distance traveling along the circle. It instead takes a shortcut by computing the length of the line segment in R 2 that connects the two points.…”
Section: Example 52 (So(2) Metric By Comparing Angles)mentioning
confidence: 99%
“…Example 5.3 (An SE(2) Metric) Again by using the subspace principle, a metric can easily be obtained for SE (2). Using the complex number representation of SO (2), each element of SE(2) is a point (x t , y t , a, b) ∈ R 4 .…”
Section: Example 52 (So(2) Metric By Comparing Angles)mentioning
confidence: 99%