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The Convex Hull for Random Lines in the Plane

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2866))

Abstract

An arrangement of n lines chosen at random from R 2 has a vertex set whose convex hull has constant (expected) size.

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References

  1. Atallah, M.: Computing the Convex Hull of Line Intersections. J. Algorithms 7, 285–288 (1986)

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  2. Battacharya, B., Everett, H., Toussaint, G.: A Counter-Example to a Dynamic Algorithm for Convex Hulls of Line Arrangements. Pattern Rec. Letters 12, 145–147 (1991)

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  3. Boreddy, J.: An Incremental Computation of Convex Hull of Planar Line Intersections. Pattern Rec. Letters 11, 541–543 (1990)

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  4. Devroye, L., Toussaint, G.: Convex Hulls for Random Lines. J. Algorithms 14, 381–394 (1993)

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© 2003 Springer-Verlag Berlin Heidelberg

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Golin, M., Langerman, S., Steiger, W. (2003). The Convex Hull for Random Lines in the Plane. In: Akiyama, J., Kano, M. (eds) Discrete and Computational Geometry. JCDCG 2002. Lecture Notes in Computer Science, vol 2866. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44400-8_17

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  • DOI: https://doi.org/10.1007/978-3-540-44400-8_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20776-4

  • Online ISBN: 978-3-540-44400-8

  • eBook Packages: Springer Book Archive

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