Geometrie properties and computation of three-finger caging grasps of convex polygons

Proceedings of the 3rd IEEE International Conference on Automation Science and Engineering, IEEE CASE 2007

Volumn , Issue , 2007, Pages 404-411

  Vahedi, Mostafa ^a   Van Der Stappen, A Frank ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DATA STRUCTURES; PROBLEM SOLVING;

CAGING GRASPS; CONVEX POLYGONS; GEOMETRIE PROPERTIES;

COMPUTATIONAL GEOMETRY;

EID: 44449107764     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/COASE.2007.4341745     Document Type: Conference Paper

References (16)

1. A. Bicchi and V. Kumar. Robotic grasping and contact: A review. In ICRA, pages 348-353. IEEE, 2000.
2. S. J. Blind, C. C. McCullough, S. Akella, and J. Ponce. Manipulating parts with an array of pins: A method and a machine. I. J. Robotic Res., 20(10):808-818, 2001.
3. B. Chazelle, H. Edelsbrunner, L. J. Guibas, and M. Sharir. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theor. Comput. Sci., 84(1):77-105, 1991.
4. C. Davidson and A. Blake. Caging planar objects with a three-finger one-parameter gripper. In ICRA, pages 2722-2727. IEEE, 1998.
5. M. de Berg, M. van Kreveld, M. Overmars, and O. Schwartzkopf. Computational Geometry: Algorithms and Applications. Springer, 1997.
6. J. Erickson, S. Thite, F. Rothganger, and J. Ponce. Capturing a convex object with three discs. In ICRA, pages 2242-2247. IEEE, 2003.
7. D. J. Kriegman. Let them fall where they may: capture regions of curved objects and polyhedra. Int. J. Rob. Res., 16(4):448-472, 1997.
8. W. Kuperberg. Problems on polytopes and convex sets. DIMACS Workshop on Polytopes, pages 584-589, 1990.
9. M. Mason. Mechanics of Robotic Manipulation. MIT Press, August 2001. Intelligent Robotics and Autonomous Agents Series, ISBN 0-262-13396-2.
10. E. Rimon and A. Blake. Caging 2d bodies by 1-parameter two-fingered gripping systems. In ICRA, volume 2, pages 75-91. IEEE, 1995.
11. E. Rimon and J. W. Burdick. Mobility of bodies in contact-part i: A 2nd-order mobility index for multiple-finger grasps. IEEE Tr. on Robotics and Automation, 14(5):696-717, 1998.
12. A. Sudsang, J. Ponce, M. Hyman, and D. J. Kriegman. On manipulating polygonal objects with three 2-dof robots in the plane. In ICRA, pages 2227-2234. IEEE, 1999.
13. A. Sudsang, J. Ponce, and N. Srinivasa. Algorithms for constructing immobilizing fixtures and grasps of three-dimensional objects. In J.-P. Laumont and M. Overmars, editors, Algorithmic Foundations of Robotics II, pages 363-380. AK Peters, Ltd., 1997.
14. A. Sudsang, J. Ponce, and N. Srinivasa. Grasping and in-hand manipulation: Geometry and algorithms. Algorithmica, 26(3-4):466-493, 2000.
15. A. Sudsang, F. Rothganger, and J. Ponce. Motion planning for disc-shaped robots pushing a polygonal object in the plane. IEEE Tr. on Robotics and Automation, 18(4):550-562, 2002.
16. M. Vahedi and A. F. van der Stappen. Caging polygons with two and three fingers. In Seventh International Workshop on the Algorithmic Foundations of Robotics (WAFR), 2006.