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Towards Derandomizing PRM Planners

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MICAI 2004: Advances in Artificial Intelligence (MICAI 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2972))

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Abstract

Probabilistic roadmap methods (PRM) have been successfully applied in motion planning for robots with many degrees of freedom. Many recent PRM approaches have demonstrated improved performance by concentrating samples in a nonuniform way. This work replace the random sampling by the deterministic one. We present several implementations of PRM-based planners (multiple-query, single-query and Lazy PRM) and lattice-based roadmaps. Deterministic sampling can be used in the same way than random sampling. Our work can be seen as an important part of the research in the uniform sampling field. Experimental results show performance advantages of our approach.

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References

  1. Kavraki, L., Švestka, P., Latombe, J.-C., Overmars, M.H.: Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Transactions on Robotics and Automation 12(4), 566–579 (1996)

    Article  Google Scholar 

  2. Amato, N., Burchan, B., Dale, L., Jones, C., Vallejo, D.: OBPRM: An obstaclebased prm for 3D workspaces. In: Proc. of Workshop on Algorithmic Foundation of Robotics, pp. 155–168 (1998)

    Google Scholar 

  3. Boor, V., Overmars, M., Van der Steppen, F.: The gaussian sampling strategy for probabilistic roadmap planners. In: IEEE Int. Conf. on Robotics and Automation, pp. 1018–1023 (1999)

    Google Scholar 

  4. Nissoux, C., Siméon, T., Laumond, J.P.: Visibility based probabilistic roadmaps. In: IEEE Int. Conf. on Intelligent Robots and Systems (1999)

    Google Scholar 

  5. Bohlin, R., Kavraki, L.: Path planning using lazy PRM. In: IEEE Int. Conf. on Robotics and Automation (2000)

    Google Scholar 

  6. Lavalle, S., Branicky, M.: On the relationship between classical grid search and probabilistic roadmaps. In: Proc. of Workshop on Algorithmic Foundation of Robotics (2002)

    Google Scholar 

  7. Sánchez, A., Zapata, R., Lanzoni, C.: On the use of low-discrepancy sequences in non-holonomic motion planning. In: IEEE Int. Conf. on Robotics and Automation (2003)

    Google Scholar 

  8. Niederreiter, H.: Random number generation and quasi-Monte Carlo methods. Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (1992)

    Google Scholar 

  9. Sánchez, L.A.: Contribution à la planification de mouvement en robotique: Approches probabilistes et approches déterministes, PhD thesis, Université Montpellier II (2003)

    Google Scholar 

  10. Sloan, I.H., Joe, S.: Lattice methods for multiple integration. Oxford University Press, Oxford (1994)

    MATH  Google Scholar 

  11. Hickernell, F.J., Hong, H.S., L’Écuyer, P., Lemieux, C.: Extensible lattice sequences for quasi-Monte Carlo quadrature. SIAM, Journal on Scientific Computing 22(3), 117–138 (2001)

    Google Scholar 

  12. Kavraki, L., Latombe, J.-C., Motwani, R., Raghavan, P.: Randomized query processing in robot motion planning. Journal of Computer and System Sciences 57(1), 50–60 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  13. Hsu, D., Latombe, J.-C., Motwani, R.: Path planning in expansive configuration spaces. Int. J. of Computational Geometry and Applications 9, 495–512 (1999)

    Article  MathSciNet  Google Scholar 

  14. Hsu, D.: Randomized single-query motion planning in expansive spaces, PhD thesis, Stanford University (2000)

    Google Scholar 

  15. Sánchez, A.G., Latombe, J.-C.: A single-query bi-directional probabilistic roadmap planner with lazy collision-checking. In: Int. Symposium on Robotics Research (2001)

    Google Scholar 

  16. Lindemann, S., LaValle, S.: Incremental low-discrepancy lattice methods for motion planning. In: Proc. IEEE Int. Conf. on Robotics and Automation (2003)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Sánchez, A., Zapata, R. (2004). Towards Derandomizing PRM Planners. In: Monroy, R., Arroyo-Figueroa, G., Sucar, L.E., Sossa, H. (eds) MICAI 2004: Advances in Artificial Intelligence. MICAI 2004. Lecture Notes in Computer Science(), vol 2972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24694-7_94

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  • DOI: https://doi.org/10.1007/978-3-540-24694-7_94

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21459-5

  • Online ISBN: 978-3-540-24694-7

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