Finding antipodal point grasps on irregularly shaped objects

Two-finger antipodal point grasping of arbitrarily shaped smooth 2-D and 3-D objects is considered. An object function is introduced that maps a finger contact space to the object surface. Conditions are developed to identify the feasible grasping region, F, in the finger contact space. A "grasping energy function", E, is introduced which is proportional to the distance between two grasping points. The antipodal points correspond to critical points of E in F. Optimization and/or continuation techniques are used to find these critical points. In particular, global optimization techniques are applied to find the "maximal" or "minimal" grasp. Further, modeling techniques are introduced for representing 2-D and 3-D objects using B-spline curves and spherical product surfaces. >

[1]  N. Kuiper.  Double normals of convex bodies , 1964 .

[2]  H. Bremermann.  A method of unconstrained global optimization , 1970 .

[3]  I. Faux,et al.  Computational Geometry for Design and Manufacture , 1979 .

[4]  Barr,et al.  Superquadrics and Angle-Preserving Transformations , 1981, IEEE Computer Graphics and Applications.

[5]  Dimitri P. Bertsekas,et al.  Constrained Optimization and Lagrange Multiplier Methods , 1982 .

[6]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[7]  Alex Pentland,et al.  Perceptual Organization and the Representation of Natural Form , 1986, Artif. Intell..

[8]  A. Pentland.  Perceptual organization and the representation of natural form , 1987 .

[9]  S. Gruber,et al.  Robot hands and the mechanics of manipulation , 1987, Proceedings of the IEEE.

[10]  Van-Duc Nguyen,et al.  Constructing Force- Closure Grasps , 1988, Int. J. Robotics Res..

[11]  H. Keller.  Lectures on Numerical Methods in Bifurcation Problems , 1988 .

[12]  Alex Pentland,et al.  Learning and recognition in natural environments , 1989 .

[13]  Christos H. Papadimitriou,et al.  Optimum Grip of a Polygon , 1987, Int. J. Robotics Res..

[14]  Gregory P. Starr,et al.  Grasp synthesis of polygonal objects , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[15]  T. Omata,et al.  Fingertip positions of a multifingered hand , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[16]  Gerardo Lafferriere,et al.  Fine manipulation with multifinger hands , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[17]  Joel W. Burdick,et al.  Finding antipodal point grasps on irregularly shaped objects , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[18]  David J. Montana,et al.  Contact stability for two-fingered grasps , 1992, IEEE Trans. Robotics Autom..

[19]  Jean Ponce,et al.  On Computing Two-Finger Force-Closure Grasps of Curved 2D Objects , 1993, Int. J. Robotics Res..

[20]  Bedri C. Cetin,et al.  Terminal repeller unconstrained subenergy tunneling (trust) for fast global optimization , 1993 .