ACM Home Page
Please provide us with feedback. Feedback
Polytime algorithm for the shortest path in a homotopy class amidst semi-algebraic obstacles in the plane
Full text PdfPdf (281 KB)
Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents
Rostock, Germany
Pages: 17 - 24  
Year of Publication: 1998
ISBN:1-58113-002-3
Authors
D. Grigoriev  Dept. of Computer Science, Penn State University, University Park, PA
A. Slissenko  Dept. of Informatics, University Paris-12, 61 Av. du Gén. de Gaulle, 94010, Créteil, France
Sponsors
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 14,   Citation Count: 4
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/10.1145/281508.281528
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.

 
AM88
M.E. Alonso and Raimondo M. The computation of the topology of a planar semialgebraic set. Rend. Sere. Mat. Univers. Politecn. TorinoF 46(3):327-342F 1988.
 
BCR87
J. BochnakF M. CosteF and M.-F. Roy. Cdomdtrie algdbrique rdelle. Springer-VerlagF 1987.
 
BSS89
L. BlumF M. SI~bF and S. Smale. On a theory of computation and complexity over real numbers: NP-completenessF recursi~ functions and universal machines. Bull. Amer. Math. Soc.F 1:1- 46F 1989.
 
Can88
 
CGV92
 
CR87
J. Canny and J. Reif. New lower bound technique for robot motion planning problemms. In Proc. 28th Annu. IEEE Syrup. on Foundations of Comput. Sci.F pages 49-60F 1987.
CSY94
 
GHR+90
D. Yu. GrigorievF J. HeintzF M.-F. RoyF SolernSF and N. N. VorobjovF Jr. Comptage des composantes connexes d'un ensemble semialg~brique en temps simplement exponentiel. C. R. Acad. Sci. ParisF 311F Ser. 1:879-882F 1990.
 
Gri88
 
GS97
 
GV88
 
GV92
 
HKSS94
J. HeintzFT. KrickFA. SlissenkoF and P. Solernd. Search for shortest path around semialgebraic obstacles in the plane. J. Math. SciencesF 70(4):1944-1949F 1994. Translation into English of the paper published in Zapiski Nauchn. Semin. LOM1F ~ol. 192(1991)F p. 163-173.
 
HRS90
J. HeintzF M.-F. RffF and P SolernS. Sur la complexit~ du principe de Tarski-Seidenberg. Bull. Soc. Math. de FranceF 118:101-126F 1990.
 
HRS94
J. HeintzF M.-F. RffF and P SolernS. Description of the connected components of a semialgebraic set in single exponential time. Discrete and Computational CeometryF 11:121-140F 1994.
 
HS94
 
Lat91
 
MS95
J.S.B. Mitchell and Suri S. A survey on computational geometryF volume 7 of Hanbooks in Operations Research and Management SciencesF chapter 7F pages 425-479. Elsevier Science B. V.F 1995.
 
Pap85
C.H. Papadimitriou. An algorithm for shortestpath motion in three dimensions. Inform. Process. Lett.F 20:259-263F 1985.
 
Pap94
C.H. Papadimitriou. Computational complexity. Addison-WesleyF 1994.
 
Ren92
 
SS90
 
ST80
H. Seifert and W. Threlefall. A Textbook of Topology. Academic PressF 1980.


Collaborative Colleagues:
D. Grigoriev: colleagues
A. Slissenko: colleagues