Daniel Berend ; Vladimir Braverman
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Convex hull for intersections of random lines
dmtcs:3364 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2005,
DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms
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https://doi.org/10.46298/dmtcs.3364
Convex hull for intersections of random linesArticle
Authors: Daniel Berend 1; Vladimir Braverman 2
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Daniel Berend;Vladimir Braverman
1 Department of Mathematics [Be'er Sheva]
2 Department of Electrical Engineering [New York]
The problem of finding the convex hull of the intersection points of random lines was studied in Devroye and Toussaint, 1993 and Langerman, Golin and Steiger, 2002, and algorithms with expected linear time were found. We improve the previous results of the model in Devroye and Toussaint, 1993 by giving a universal algorithm for a wider range of distributions.
Anastas Baci;Gilles Bonnet;Christoph Thäle, 2022, Weak convergence of the intersection point process of Poisson hyperplanes, arXiv (Cornell University), 58, 2, 10.1214/21-aihp1201.