Self-overlapping curves revisited

Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

Volumn , Issue , 2009, Pages 160-169

  Eppstein, David ^a   Mumford, Elena ^b  

^a Irvine   (United States)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS;

BOUNDARY CURVES; FIXED-PARAMETER TRACTABLE ALGORITHMS; IMMERSED SURFACES; NP COMPLETE; POLYNOMIAL-TIME; SELF-INTERSECTING CURVES;

POLYNOMIAL APPROXIMATION;

EID: 70349122510     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973068.19     Document Type: Conference Paper

References (11)

1. R. Bellman. On a routing problem. Quarterly of Applied Mathematics, 16(1):87-90, 1958.
2. D. Bennequin. Exemples d'immersions du disque dans le plan qui ne sont pas projections de plongements dans l'espace. C. R. Acad. Sci. Paris Se'r., A-B 281(2-3, AII):A81-A84, 1975.
3. W. G. Chinn and N. E. Steenrod. First Concepts of Topology. New Mathematical Library, MAA, 1966.
4. C. H. Dowker and M. B. Thistlethwaite. Classification of knot projections. Topology Appl., 16:19-31, 1983.
5. D. Eppstein, M. J. van Kreveld, E. Mumford, and B. Speckmann. Edges and switches, tunnels and bridges. In Proc. 10th Worksh. Algorithms and Data Structures, volume 4619 of Lecture Notes in Computer Science, pages 77-88. Springer-Verlag, 2007.
6. J. L. R. Ford and D. R. Fulkerson. Flows in Networks. Princeton University Press, Princeton, 1962.
7. 2. Trans. Amer. Math. Soc., 187:309-326, 1974.
8. V. Poénaru. Extension des immersions en codimension 1. Séminaire Bourbaki, 10(342):473-505, 1966-1968.
9. P. W. Shor and C. J. V. Wyk. Detecting and decomposing self-overlapping curves. Comput. Geom. Theory Appl., 2(1):31-50, 1992.
10. W. D. Smith and N. C. Wormald. Geometric separator theorems and algorithms. In Proc. 39th IEEE Symp. Foundations of Computer Science, pages 232-243, 1998.
11. H. Whitney. On regular closed curves in the plane. Composition Math., 4:276-284, 1937.