“…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.…”