Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C)
DOI: 10.1109/robot.1999.770384
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A fast and robust grasp planner for arbitrary 3D objects

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Cited by 134 publications
(65 citation statements)
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“…Consider three wrenches ω i (i = 1, .., 3) expressed in cylindrical coordinates as ω i = (cos α i , sin α i , τ i ), α i being the angle that indicates the direction of f i . The distance D from the origin to the face (plane) of P 1 determined by ω 1 , ω 2 and ω 3 can be written as a function of the torque of one of them; for instance, as a function of τ 3 of ω 3 , we obtain:…”
Section: A In the Wrench Spacementioning
confidence: 99%
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“…Consider three wrenches ω i (i = 1, .., 3) expressed in cylindrical coordinates as ω i = (cos α i , sin α i , τ i ), α i being the angle that indicates the direction of f i . The distance D from the origin to the face (plane) of P 1 determined by ω 1 , ω 2 and ω 3 can be written as a function of the torque of one of them; for instance, as a function of τ 3 of ω 3 , we obtain:…”
Section: A In the Wrench Spacementioning
confidence: 99%
“…Proof: The proof is straightforward from the property 3 of the distance in equation (3). If constants k 2 , k 4 and k 6 are substituted by their expressions from equations (5), (7) and (9), then when τ 3 → ±∞ the distance between the origin and f 1 f 2 is obtained.…”
Section: B In the Force Spacementioning
confidence: 99%
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“…Works considering a 3D object description have normally used a model of the object, obtained or defined in an off-line stage [1,23]; in other works [25], a grasping axis is computed using an octree-based reconstruction of the object. Alternatively, some authors use heuristics to reduce the number of candidates during the grasp synthesis and obtain a good grasp in short time [4]; others approximate an object model with a set of shape primitives -such as cylinders, boxes, or cones-and use rules, based on those primitives, to generate grasp pre-shapes and starting positions [26]. Quality measures for grasp analysis have been described in several works [5,11].…”
Section: Roboticsmentioning
confidence: 99%
“…We assume that a preliminary grasp planning phase determines the contact points and internal forces to be applied according to some criteria, e.g., the one presented in [20] to guarantee force closure [15]. The grasp planner returns N contact points, whose positions in B are denoted bȳ p 1 .…”
Section: Introductionmentioning
confidence: 99%