ACM Home Page
Please provide us with feedback. Feedback
A polynomial-time algorithm for computing a shortest path of bounded curvature amidst moderate obstacles (extended abstract)
Full text PdfPdf (1.05 MB)
Source Annual Symposium on Computational Geometry archive
Proceedings of the twelfth annual symposium on Computational geometry table of contents
Philadelphia, Pennsylvania, United States
Pages: 242 - 251  
Year of Publication: 1996
ISBN:0-89791-804-5
Authors
Jean-Daniel Boissonnat  INRIA, BP 93, 06902 Sophia Antipolis Cedex, France
Sylvain Lazard  INRIA, BP 93, 06902 Sophia Antipolis Cedex, France
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 8,   Downloads (12 Months): 38,   Citation Count: 5
Additional Information:

references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/237218.237393
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
 
2
J. Barraquand and J-C. Latombe. Nonholonomic mobile robots and optimal maneuvering. Revue d'Intelligence artifie~eUe, 3:77-103, 1989.
 
3
J. Barraquand and J-C. Latombe. Nonholonomic multibody mobile robots: controllability and motion planning in the presence of obstacles. Algorithmica, 10:121- 155, 1993.
 
4
Behnke, Bachmann, and Fladt. Fundamentals of mathematics, Geometry, volume 1. MIT Press, 1986.
 
5
J-D. Boissonnat and X-N. Bui. Accessibility region for a car that only moves forwards along optimal paths. Research Report 2181, INRIA, BP93, 06902 Sophia- Antipolis, France, 1994.
 
6
J.-D. Boissonnat, A. C~r6zo, and J. Leblond. Shortest paths of bounded curvature in the plane, internat. J. Intell. Syst., 10:1-16, 1994.
 
7
X-N. Bui, P. Sou~res, J-D. Boissonnat, and J-P. Laumond. Shortest path synthesis for Dubins nonholonomic robot. In IEEE Int. Conf. on Robotics and Automation, pages 2-7, San Diego, 8-13 Mai 1994.
 
8
 
9
D. P. Dobkin and D. L. Souvaine. Computational geometry in a curved world. Algorithmica, 5:421-457, 1990.
 
10
L. E. Dubins. On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents. Amer. J. Math., 79:497-516, 1957.
11
 
12
P. Jacobs and J. Canny. Planning smooth paths for mobile robots. In Proc. IEEE Internat. ,Conf. Robot. Autom., pages 2-7, 1989.
 
13
P. Jacobs, J-P. Laumond, and M. Taix. Efficient motion planners for nonholonomic mobile robots. In Proceedings of the IEEE/RSJ International Workshop on Intelligent Robots and Systems, pages 1229-1235, 1991.
 
14
 
15
J-C. Latombe. A fast path-planner for a car-like indoor mobile robot. In Proceedings of the 9th National Conference on Artificial Intelligence, pages 659-665, 1991.
 
16
 
17
J-P. Laumond. Finding collision-free smooth trajectories for a non-holonomic mobile robot, in Proceedings of the International Joint Conference on Artificial intelligence, pages 1120-1123, 1987.
 
18
J-P. Laumond, M. Taix, P. Jacobs, and R.M. Murray. A motion planner for nonholonomic mobile robots. IEEE Trans. on Robotics and Automation, 1993.
 
19
 
20
Y. Nakamura and R. Mukherjee. Nonholonomic path planning and automation. In Proc. IEEE lht. Conf. on Robotics and Automation, pages 1050-1055, 1989.
 
21
J. A. Reeds and L. A. Shepp. Optimal paths for a car that goes both forwards and backwards. Pacific Journal of Mathematics, 145(2), 1990.
 
22
H. J. Sussmann and G. Tang. Shortest paths for the reeds-shepp car: a worked out example of the use of geometric techniques in nonlinear optimal control. Research Report SYCON-91-10, Rutgers University, New Brunswick, NJ, 1991.
 
23
 
24
G. Wilfong. Motion planning for an autonomous vehicle. In Proc. IEEE Internat. Conf. Robot. Autom., pages 529-533, 1988.
 
25
G. Wilfong. Shortest paths for autonomous vehicles, in Proceedings of the IEEE International on Robotics and Automation, pages 15-20, 1989.


Collaborative Colleagues:
Jean-Daniel Boissonnat: colleagues
Sylvain Lazard: colleagues