Abstract
The development of a path planning algorithm based on an approximate cell decomposition of the workspace is presented. The free space of the robot is recursively decomposed into a set of non-overlapping cells through a real space renormalization procedure. The algorithm includes a previously calculated data base of heuristics defining the optimal paths that cross a cell between any two predefined edge points. The first step of the algorithm consists on the computation of a straight path from the initial configuration to the goal position. This initial proposed path is further recursively corrected in the following steps until a definitive path is obtained. The recursive process is stopped when the complete path lies on a free collision space or the size of the cell reaches some predefined value of resolution. The algorithm of path planning was experimentally tested on a workspace cluttered with thirty randomly distributed obstacles. In each case, with very little computational effort a good free collision path is calculated. The results indicate that the proposed path planning algorithm is very suitable for real time applications.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Amato, N. and Wu, Y. (1996). “A Randomized Roadmap for Path Manipulation Planning”. IEEE, International Conference on Robotics and Automation: 113–12
Barraquand, J. and Latombe, J.C. (1990). “A Monte Carlo Algorithm for Path Planning with Many Degrees of Freedom”. IEEE, International Conference on Robotics and Automation: 1712–1717
Barraquand, J., Langlois, B. and Latombe, J. C. (1992). “Numerical Potential Field Techniques for Robot Path Planning”. IEEE, Transactions on System, Man and Cybernetics. 22(2): 224–241
Behring, C. (1999). “Robot Motion Planning with Cellular Automata”. Thesis. University of Dortmund, Dortmund, Germany
Brooks, R.A. and Lozano Pérez, T. (1985). “A Subdivision Algorithm in Configuration Space for Findpath with Rotation”. IEEE, Transactions on System, Man and Cybernetics, 15(2): 224–233
Hwang, Y. and Ahuja, N. (1992). “A Potential Field Approach to Path Planning”. tiIEEE, Transactions on Robotics and Automation, 8(1)
Kavraki, L. E. and Latombe, J. C. (1994). “Randomized Preprocessing of Configurations Space for Path Planning”. IEEE International Conference on Robotics and Automation: 2138–2139
Lozano Pérez, T. (1979). “An Algorithm for Planning Collision Free Path among Polyhedral Obstacles”. Communication of the ACM, 22(10): 560–70
Lozano Pérez, T. (1983). “Spatial Planning: A Configuration Space Approach”. IEEE Transactions on Computers, C-32(2): 108–120
Lozano Pérez, T., Mason, M. T., and Taylor, R. H. (1984). “Automatic Synthesis of Fine Motion Strategies for Robots”. International Journal of Robotics Research, 3(1): 3–24
Latombe, J. C. (1991). “Robot Motion Planning”. Kluwer Academic Publishers, Boston, MA
LaValle, S. M. (1995). “Robot Motion Planning: A Game Theoretic Foundation”. PhD thesis, University of Illinois. http://www.janowiec.cs.iastate.edu/lavalle/ Iowa State University
LaValle, S. M., González Baños, H. H., Becker, C., and Latombe, J.C..(1997). “Motion Strategies for Maintaining Visibility of a Moving Target”. IEEE International Conference on Robotics and Automation, 731–736
Yoshiyuki, U. and Yoshiki, K. (1995) “New Method of Solving the Travelling Salesman Problem Based on Real Space Renormalization Theory”, Physical Review Letters 75: 1683–1686
Zhu, D. and Latombe, J. C. (1991). “New Heuristic Algorithms for Effcient Hierarchical Path Planning”. Transactions on Robotics and Automation. A(7): 9–20
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Rodríguez, M.B., Moreno, J.A. (2000). Heuristic Algorithm for Robot Path Planning Based on Real Space Renormalization. In: Monard, M.C., Sichman, J.S. (eds) Advances in Artificial Intelligence. IBERAMIA SBIA 2000 2000. Lecture Notes in Computer Science(), vol 1952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44399-1_39
Download citation
DOI: https://doi.org/10.1007/3-540-44399-1_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41276-2
Online ISBN: 978-3-540-44399-5
eBook Packages: Springer Book Archive