Robotic origami folding

International Journal of Robotics Research

Volumn 27, Issue 5, 2008, Pages 613-627

  Balkcom, Devin J ^a   Mason, Matthew T ^b  

^a Dartmouth Department of Computer Science_Dartmouth College   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Dextrous manipulation; Flexible object manipulation; Rigidity; Robotic origami folding

Indexed keywords

KINEMATICS; MACHINE DESIGN; PROBLEM SOLVING; ROBOTIC ASSEMBLY;

DEXTROUS MANIPULATION; FLEXIBLE OBJECT MANIPULATION; ROBOTIC MANIPULATION; ROBOTIC ORIGAMI FOLDING;

MOBILE ROBOTS;

EID: 42549103627     PISSN: 02783649     EISSN: 17413176     Source Type: Journal    
DOI: 10.1177/0278364908090235     Document Type: Article

References (33)

1. Ascher, U. and Lin, P. (1999). Sequential regularization methods for simulating mechanical systems with many closed loops. SIAM Journal on Scientific Computing, 21 (4). 1244-1262.
2. Aumann, G. (1991). Interpolation with developable Bezier patches. Computer Aided Geometric Design, 8: 409-420.
3. Balkcom, D.J. (2004). Robotic origami folding. Ph.D. Thesis (Technical Report RI TR 04-43), Carnegie Mellon University.
4. Balkcom, D.J. and Mason, M.T. (2004). Introducing robotic origami folding. Proceedings IEEE International Conference on Robotics and Automation, pp. 3245-3250.
5. Baraff, D. and Witkin, A. (1998). Large steps in cloth simulation. Proceedings of SIGGRAPH, pp. 43-54.
6. Bridson, R., Fedkiw, R. and Anderson, J. (2002). Robust treatment of collisions, contact, and friction for cloth animation. Proceedings of SIGGRAPH.
7. Choi, K.-J. and Ko, H.-S. (2002). Stable but responsive cloth. Proceedings of SIGGRAPH.
8. Connelly, R., Sabitov, I. and Walz, A. (1997). The bellows conjecture. Contributions to Algebra and Geometry, 38 (1). 1-10.
9. Dai, J. and Jones, J.R. (1999). Mobility in metamorphic mechanisms of foldable/erectable kinds. Transactions of ASME: Journal of Mechanical Design, 121 (3). 375-382.
10. Dai, J. and Jones, J.R. (2002 a). Carton manipulation analysis using configuration transformation. Journal of Mechanical Engineering Science, 216 (5). 543-555.
11. Dai, J. and Jones, J.R. (2002 b). Kinematics and mobility analysis of carton folds in packing manipulation based on the mechanism equivalent. Journal of Mechanical Engineering Science, 216 (10). 959-970.
12. Dai, J. and Jones, J.R. (2005). Matrix representation of topological configuration transformation of metamorphic mechanisms. Transactions of the ASME: Journal of Mechanical Design, 127 (4). 837-840.
13. Demaine, E.D. and Demaine, M.L. (2001). Recent results in computational origami. Proceedings of the 3rd International Meeting of Origami Science, Math, and Education.
14. Gupta, S., Bourne, D., Kim, K.K. and Krishnan, S.S. (1998). Automated process planning for robotic sheet metal bending operations. Journal of Manufacturing Systems.
15. Han, L. and Amato, N.M. (2000). A kinematics-based probabalistic roadmap method for closed chain systems. Proceedings of the Workshop on the Algorithmic Foundations of Robotics, pp. 233-246.
16. Hilbert, D. and Cohn-vossen, S. (1952). Geometry and the Imagination. New York, Chelsea.
17. Huffman, D. (1976). Curvature and creases: A primer on paper. IEEE Transactions on Computers, 25 (10). 1010-1019.
18. Hull, T.C. (1994). On the mathematics of flat origamis. Congressus Numerantium, 100: 215-224.
19. Kapovich, M. and Millson, J. (1995). On the moduli space of polygons in the Euclidean plane. Journal of Differential Geometry, 42 (1). 133-164.
20. Kergosien, Y.L., Gotoda, H. and Kunii, T.L. (1994). Bending and creasing virtual paper. IEEE Computer Graphics and Applications, 14 (1). 40-48.
21. Lang, R. (2001). Trees and circles: an efficient algorithm for origami design. Proceedings of the 3rd International Meeting of Origami Science, Math, and Education.
22. Leopoldseder, S. and Pottmann, H. (1998). Approximation of developable surfaces with cone spline surfaces. Computer Aided Design, 30: 571-582.
23. Liu, J. and Dai, J. (2003). An approach to carton-folding trajectory planning using dual robotic fingers. Robotics and Autonomous Systems, 42: 47-63.
24. Lu, L. and Akella, S. (1999). Folding cartons with fixtures: A motion planning approach. Proceedings of the IEEE International Conference on Robotics and Automation.
25. Lu, L. and Akella, S. (2000). Folding cartons with fixtures: a motion planning approach. IEEE Transactions on Robotics and Automation, 16 (4). 346-356.
26. Milgram, R.J. and Trinkle, J. (2004). The geometry of configurations spaces for closed chains in two and three dimensions. Homology, Homotopy, and Applications, 6 (1). 237-267.
27. Milnor, J. (1997). Topology from the Differentiable Viewpoint (Princeton Landmarks in Mathematics). Princeton, NJ, Princeton University Press.
28. Miyazaki, S., Yasuda, T., Yokoi, S. and Toriwaki, J. (1992). An interactive simulation system of origami based on virtual space manipulation. Proceedings of the IEEE International Workshop on Robot and Human Communication, pp. 210-215.
29. Pottmann, H. and Wallner, J. (1999). Approximation algorithms for developable surfaces. Computer Aided Geometric Design, 16: 539-556.
30. Redont, P. (1989). Representation and deformation of developable surfaces. Computer Aided Design, 21 (1). 13-20.
31. Rodrigues-Leal, E. and Dai, J. (2007). From origami to a new class of centralized 3-DOF parallel mechanisms. Proceedings of the 31st ASME Mechanisms and Robotics Conference.
32. Sun, M. and Fiume, E. (1996). A technique for constructing developable surfaces. Proceedings of Graphics Interface. Waterloo, ON, Canadian Human-Computer Communications Society, pp. 176-185.
33. Weiss, G. and Furtner, P. (1988). Computer-aided treatment of developable surfaces. Computers and Graphics, 12 (1). 39-51.