The sampling-based neighborhood graph: An approach to computing and executing feedback motion strategies

IEEE Transactions on Robotics and Automation

Volumn 20, Issue 3, 2004, Pages 419-432

  Yang, Libo ^a   LaValle, Steven M ^b  

^a Iowa State University   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Feedback control; Motion planning; Navigation functions; Potential fields

Indexed keywords

ALGORITHMS; COLLISION AVOIDANCE; DEGREES OF FREEDOM (MECHANICS); FEEDBACK CONTROL; GRAPH THEORY; PROBABILITY;

FEEDBACK MOTION STRATEGY; NAVIGATION FUNCTIONS; SAMPLING-BASED NEIGHBORHOOD GRAPH;

MOTION PLANNING;

EID: 2942729966     PISSN: 1042296X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TRA.2004.824640     Document Type: Article

References (61)

1. M. D. Adams, H. Hu, and P. J. Roberts, "Toward a real-time architecture for obstacle avoidance and path planning in mobile robots," in Proc. IEEE Int. Conf. Robotics and Automation, May 1990, pp. 584-589.
2. A. Atramentov and S. M. LaValle, "Efficient nearest-neighbor searching for motion planning," in Proc. IEEE Int. Conf. Robotics and Automation, 2002, pp. 632-637.
3. F. Avnaim, J. D. Boissonnat, and B. Faverjon, "A Practical Exact Motion-Planning Algorithm for Polygonal Objects Amidst Polygonal Obstacles," INRIA, France, Tech. Rep. 890, 1988.
4. J. Barraquand and J.-C. Latombe, "A Monte-Carlo algorithm for path planning with many degrees of freedom," in Proc. IEEE Int. Conf. Robotics and Automation, 1990, pp. 1712-1717.
5. J. Borenstein and Y. Koren, "Real-time obstacle avoidance for fast mobile robots," IEEE Trans. Syst., Man, Cybern., vol. 19, pp. 1179-1187, June 1989.
6. M. S. Branicky, S. M. LaValle, K. Olson, and L. Yang, "Quasi-randomized path planning," in Proc. IEEE Int. Conf. Robotics and Automation, 2001, pp. 1481-1487.
7. O. Brock and L. Kavraki, "Decomposition-based motion planning: A framework for real-time motion planning in high-dimensional configuration spaces," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 2, 2001, pp. 1469-1474.
8. R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. W. Brockett, R. S. Millmann, and H. J. Sussmann, Eds. Cambridge, MA: Birkhaüser, 1983.
9. P. A. Brooks and T. Lozano-Pérez, "A subdivision algorithm in configuration space for findpath with rotation," in Proc. 8th Int. Conf. Artificial Intelligence, 1983, pp. 799-806.
10. R. R. Burridge, A. A. Rizzi, and D. E. Koditschek, "Sequential composition of dynamically dexterous robot behavious," Int. J. Robot. Res., vol. 18, no. 6, pp. 534-555, 1999.
11. W. Choi and J.-C. Latombe, "A reactive architecture for planning and executing robot motions with incomplete knowledge," in Proc. Int. Conf. Intelligent Robots and Systems, vol. 1, 1991, pp. 24-29.
12. C. Connolly and R. Grupen, "The application of harmonic potential functions to robotics," J. Robot. Syst., vol. 10, no. 7, pp. 931-946, 1993.
13. C. I. Connolly, J. B. Burns, and R. Weiss, "Path planning using Laplace's equation," in Proc. IEEE Int. Conf. Robotics and Automation, May 1990, pp. 2102-2106.
14. M. A. Erdmann, "On motion planning with uncertainty," Master's thesis, Mass. Inst. Technol., Cambridge, MA, 1984.
15. B. Faverjon, "Object-level programming of industrial robots," in Proc. IEEE Int. Conf. Robotics and Automation, 1986, pp. 1406-1412.
16. E. Frazzoli, M. A. Dahleh, and E. Feron, "Real-time motion planning for agile autonomous vehicles," AIAA J. Guid. Contr., vol. 25, no, 1, pp. 116-129, 2002.
17. E. G. Gilbert and D. W. Johnson, "Distance functions and their application to robot path planning in the presence of obstacles," IEEE Trans. Robot. Automat., vol. RA-1, pp. 21-30, Feb. 1985.
18. L. J. Guibas, D. Hsu, and L. Zhang, "H-walk: Hierarchical distance computation for moving convex bodies," in Proc. ACM Symp. Computational Geometry, 1999, pp. 265-273.
19. C. Holleman and L. Kavraki, "A framework for using the workspace medial axis in PRM planners," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 2, Apr. 2000, pp. 1408-1413.
20. D. Hsu, L. E. Kavraki, J.-C. Latombe, R. Motwani, and S. Sorkin, et al., "On finding narrow passages with probabilistic roadmap planners," in Robotics: The Algorithmic Perspective, P. Agarwal et al., Eds. Natick, MA: A. K. Peters, 1998, pp. 141-154.
21. J. Ish-Shalom, "The CS language concept: A new approach to robot motion design," in Proc. IEEE Conf. Decision and Control, 1984, pp. 760-767.
22. H. Jacob, S. Feber, and J. Slotline, "Real-time path planning using harmonic potential functions in dynamic environment," in Proc. IEEE Int. Conf. Robotics and Automation, 1997, pp. 874-881.
23. S. Kambhampati and L. S. Davis, "Multiresolution path planning for mobile robots," IEEE Trans. Robot. Automat., vol. RA-2, pp. 135-145, June 1986.
24. I. Kamon and E. Rivlin, "Sensory-based motion planning with global proofs," IEEE Trans. Robot. Automat., vol. 13, pp. 814-822, Dec. 1997.
25. I. Kamon, E. Rivlin, and E. Rimon, "Range-sensor-based navigation in three dimensions," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 1 May 1999, pp. 163-169.
26. L. E. Kavraki, P. Svestka, J.-C. Latombe, and M. H. Overmars, "Probabilistic roadmaps for path planning in high-dimensional configuration spaces," IEEE Trans. Robot. Automat., vol. 12, pp. 566-580, Aug. 1996.
27. O. Khatib, "Commande dynamique dans l'espace opérational des robots manipulateurs en présence d'obstacles," Ph.D. dissertation, Ecole Nationale de la Statist. et de l'Admin. Economique, France, 1980.
28. ____, "Real-time obstacle avoidance for manipulators and mobile robots," Int. J. Robot. Res., vol. 5, no. 1, pp. 90-98, 1986.
29. R. Kimmel, N. Kiryati, and A. M. Bruckstein, "Multivalued distance maps for motion planning on surfaces with moving obstacles," IEEE Trans. Robot. Automat., vol. 14, pp. 427-435, June 1998.
30. D. E. Koditschek, "Exact robot navigation by means of potential functions: Some topological considerations," in Proc. IEEE Int. Conf. Robotics and Automation, 1987, pp. 1-6.
31. ____, "Task encoding: Toward a scientific paradigm for robot planning and control," J. Robot. Auton. Syst., vol. 9, pp. 5-39, 1992.
32. C. Laugier and F. Germain, "An adaptative collision-free trajectory planner," in Proc. Int. Conf. Advanced Robotics, 1985, pp. 33-41.
33. S. M. LaValle, M. S. Branicky, and S. R. Lindemann, "On the relationship between classical grid search and probabilistic roadmaps," Int. J. Robot. Res., to be published.
34. S. M. LaValle and P. Konkimalla, "Algorithms for computing numerical optimal feedback motion strategies," Int. J. Robot. Res., vol. 20, no. 9, pp. 729-752, Sept. 2001.
35. M. C. Lin and J. F. Canny, "A fast algorithm for incremental distance calculation," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 2, 1991, pp. 1008-1014.
36. S. R. Lindemann and S. M. LaValle, "Incremental low-discrepancy lattice methods for motion planning," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 3, Sept. 2003, pp. 2920-2927.
37. T. Lozano-Pérez, "Automatic planning of manipulator transfer movements," IEEE Trans. Syst., Man, Cybern., vol. SMC-11, pp. 681-698, May 1981.
38. T. Lozano-Pérez, M. T. Mason, and R. H. Taylor, "Automatic synthesis of fine-motion strategies for robots," Int. J. Robot. Res., vol. 3, no. 1, pp. 3-24, 1984.
39. V. J. Lumelsky and T. Skewis, "A paradigm for incorporating vision in the robot navigation function," in Proc. IEEE Int. Conf. Robotics and Automation, 1988, pp. 734-739.
40. V. J. Lumelsky and A. A. Stepanov, "Path-planning strategies for a point mobile automation moving amidst unknown obstacles of arbitrary shape," Algorithmica, vol. 2, pp. 403-430, 1987.
41. M. T. Mason, "The mechanics of manipulation," in Proc. IEEE Int. Conf. Robotics and Automation, 1985, pp. 544-548.
42. A. Massoud, "Robot navigation using the vector potential approach," in Proc. IEEE Int. Conf. Robotics and Automation, vol. 1, 1993, pp. 805-811.
43. G. L. Miller, S.-H. Teng, W. Thurston, and S. A. Vavasis, "Separators for sphere packings and nearest-neighbor graphs," J. ACM, vol. 44, no. 1, pp. 1-29, Jan. 1997.
44. B. Mirtich, "V-Clip: Fast and Robust Polyhedral Collision Detection," Mitsubishi Electron. Res. Lab., Tech. Rep. TR97-05, 1997.
45. D. Mount and S. Arya. (1998) ANN: Library for Approximate Nearest-Neighbor Searching. [Online]. Available: http://www.cs.umd.edu/mount/ANN/
46. C. Pisula, K. Hoff, III, M. C. Lin, and D. Manocha, "Randomized path planning for a rigid body based on hardware accelerated Voronoi sampling," in Proc. Workshop Algorithmic Foundations of Robotics, 2000, pp. 279-291.
47. S. Quinlan, "Efficient distance computation between nonconvex objects," in Proc. IEEE Int. Conf. Robotics and Automation, 1994, pp. 3324-3329.
48. S. Quinlan and O. Khatib, "Elastic bands: Connecting path planning and control," in Proc. IEEE Int. Conf. Robotics and Automation, 1993, pp. 802-807.
49. E. Rimon and D. E. Koditschek, "The construction of analytic diffeomorphisms for exact robot navigation on star worlds," in Proc. IEEE Int. Conf. Robotics and Automation, May 1989, pp. 21-26.
50. ____, "Exact robot navigation using artificial potential fields," IEEE Trans. Robot. Automat., vol. 8, pp. 501-518, Oct. 1992.
51. J. T. Schwartz and M. Sharir, "On the piano movers' problem: I. The case of a two-dimensional rigid polygonal body moving amidst polygonal barriers," Commun. Pure, Appl. Math., vol. 36, pp. 345-398, 1983.
52. ____, "On the piano movers' problem: II. General techniques for computing topological properties of algebraic manifolds," Commun. Pure, Appl. Math., vol. 36, pp. 345-398, 1983.
53. ____, "On the piano movers' problem: III. Coordinating the motion of several independent bodies," Int. J. Robot. Res., vol. 2, no. 3, pp. 97-140, 1983.
54. A. M. Shkel and V. J. Lumelsky, "Incorporating body dynamics into sensor-based motion planning: The maximum turn strategy," IEEE Trans. Robot. Automat., vol. 13, pp. 873-880, Dec. 1997.
55. T. Simeon, J.-P. Laumond, and C. Nissoux, "Visibility-based probabilistic roadmaps for motion planning," Adv. Robot. J., vol. 14, no. 6, pp. 477-494, 2000.
56. S. Sundar and Z. Shiller, "Optimal obstacle avoidance based on the Hamilton-Jacobi-Bellman equation," IEEE Trans. Robot. Automat., vol. 13, pp. 305-310, Apr. 1997.
57. R. B. Tilove, "Local obstacle avoidance for mobile robots based on the method of artificial potentials," in Proc. IEEE Int. Conf. Robotics and Automation, May 1990, pp. 566-571.
58. S. A. Wilmarth, N. M. Amato, and P. F. Stiller, "MAPRM: A probabilistic roadmap planner with sampling on the medial axis of the free space," in Proc. IEEE Int. Conf. Robotics and Automation, 1999, pp. 1024-1031.
59. L. Yang and S. M. LaValle, "A framework for planning feedback-motion strategies based on a random neighborhood graph," in Proc. IEEE Int. Conf. Robotics and Automation, 2000, pp. 544-549.
60. ____, "An improved random neighborhood graph approach," in Proc. IEEE Int. Conf. Robotics and Automation, 2002, pp. 254-259.
61. D. J. Zhu and J. C. Latombe, "New heuristic algorithms for efficient hierarchical path planning," IEEE Trans. Robot. Automat., vol. 7, pp. 9-20, Feb. 1991.