Useful cycles in probabilistic roadmap graphs

Over the last decade, the probabilistic road map method (PRM) has become one of the dominant motion planning techniques. Due to its random nature, the resulting paths tend to be much longer than the optimal path despite the development of numerous smoothing techniques. Also, the path length varies a lot every time the algorithm is executed. We present a new technique that results in higher quality (shorter) paths with much less variation between the executions. The technique is based on adding useful cycles to the roadmap graph.

[1]  Nancy M. Amato,et al.  Extracting optimal paths from roadmaps for motion planning , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[2]  Nancy M. Amato,et al.  A randomized roadmap method for path and manipulation planning , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[3]  Lydia E. Kavraki,et al.  Randomized preprocessing of configuration for fast path planning , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[4]  Didier Wolf,et al.  Capture of homotopy classes with probabilistic road map , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[5]  Mark H. Overmars,et al.  A random approach to motion planning , 1992 .

[6]  Lydia E. Kavraki,et al.  Random networks in configuration space for fast path planning , 1994 .

[7]  Mark H. Overmars,et al.  A Comparative Study of Probabilistic Roadmap Planners , 2002, WAFR.

[8]  Lydia E. Kavraki,et al.  On finding narrow passages with probabilistic roadmap planners , 1998 .

[9]  Gino van den Bergen Collision Detection in Interactive 3D Environments , 2003 .

[10]  Nancy M. Amato,et al.  MAPRM: a probabilistic roadmap planner with sampling on the medial axis of the free space , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[11]  Steven M. LaValle,et al.  Quasi-randomized path planning , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[12]  Pekka Isto,et al.  Constructing probabilistic roadmaps with powerful local planning and path optimization , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[13]  Mark H. Overmars,et al.  The Gaussian sampling strategy for probabilistic roadmap planners , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[14]  Giuseppe F. Italiano,et al.  Fully dynamic all pairs shortest paths with real edge weights , 2001, Proceedings 2001 IEEE International Conference on Cluster Computing.

[15]  Giuseppe F. Italiano,et al.  A new approach to dynamic all pairs shortest paths , 2003, STOC '03.

[16]  Daniel Vallejo,et al.  OBPRM: an obstacle-based PRM for 3D workspaces , 1998 .

[17]  Thierry Siméon,et al.  Visibility based probabilistic roadmaps , 1999, Proceedings 1999 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients (Cat. No.99CH36289).

[18]  Jean-Claude Latombe,et al.  Robot motion planning , 1970, The Kluwer international series in engineering and computer science.

[19]  Nancy M. Amato,et al.  Customizing PRM roadmaps at query time , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[20]  Lydia E. Kavraki,et al.  Path planning using lazy PRM , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[21]  David Hsu,et al.  The bridge test for sampling narrow passages with probabilistic roadmap planners , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[22]  Lydia E. Kavraki,et al.  A Random Sampling Scheme for Path Planning , 1997, Int. J. Robotics Res..

[23]  Nancy M. Amato,et al.  Choosing good distance metrics and local planners for probabilistic roadmap methods , 2000, IEEE Trans. Robotics Autom..