2004
DOI: 10.1109/tro.2004.829500
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A Complete and Efficient Algorithm for Searching 3-D Form-Closure Grasps in the Discrete Domain

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Cited by 112 publications
(67 citation statements)
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“…Otherwise, the initial contacts are iteratively exchanged with other candidate locations until a force-closure grasp is obtained. The previous heuristic algorithm is extended in [22] for any number of contacts with or without friction. The authors in [23] demonstrate that wrenches associated to any three non-aligned contact points of 3D objects form a basis of their corresponding wrench space.…”
Section: Force-closure Grasp Synthesis For 3d Objectsmentioning
confidence: 99%
“…Otherwise, the initial contacts are iteratively exchanged with other candidate locations until a force-closure grasp is obtained. The previous heuristic algorithm is extended in [22] for any number of contacts with or without friction. The authors in [23] demonstrate that wrenches associated to any three non-aligned contact points of 3D objects form a basis of their corresponding wrench space.…”
Section: Force-closure Grasp Synthesis For 3d Objectsmentioning
confidence: 99%
“…The necessary and sufficient condition for the existence of an FC grasp is that the origin of the generalized wrench space lies inside the convex hull of the contact wrenches W [4] [32]. The test used in this work to verify this condition is based on the following Lemma, derived from [13] for the case of a rigid object (linear programming techniques can also be used [33][34]).…”
Section: Force-closure Testmentioning
confidence: 99%
“…The necessary and sufficient condition for the existence of an FC grasp is that the origin of the generalized wrench space lies inside the convex hull of the contact wrenches W , hereafter CH(W ) (Mishra et al, 1987;Murray et al, 1994). The test used in this work to verify this condition is derived from (Roa and Suárez, 2009) for the case of a single rigid object and extended by Alvarado and Suárez (2013) for an articulated 2D object (it can also be done using linear programming techniques (Liu et al, 2004;Asada and Kitagawa, 1989)). Let P be the centroid of W , O the origin of the wrench space and H a boundary hyperplane of CH(W ), a grasp is FC if P and O lie on the same side of each hyperplane H.…”
Section: Force-closure Testmentioning
confidence: 99%