A linear algorithm for computing convex hulls for random lines

Daniel Berend; Vladimir Braverman

doi:10.1145/1597036.1597046

A linear algorithm for computing convex hulls for random lines

Daniel Berend
, Vladimir Braverman

Research output: Contribution to journal › Article › peer-review

Abstract

Finding the convex hull of n points in the plane requires O(n log n) time in general. In Devroye and Toussaint [1993] and Golin et al. [2002] the problem of computing the convex hull of the intersection points of n lineswas considered, where the lines are chosen randomly according to two various models. In both models, linear-time algorithms were developed. Here we improve the results of Devroye and Toussaint [1993] by giving a universal algorithm for a wider range of distributions.

Original language	English
Article number	42
Journal	ACM Transactions on Algorithms
Volume	5
Issue number	4
DOIs	https://doi.org/10.1145/1597036.1597046
State	Published - 1 Oct 2009

Keywords

Computational complexity
Computational geometry
Convex hull
Random lines
Randomized algorithms

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1145/1597036.1597046

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KW - Computational geometry

KW - Convex hull

KW - Random lines

KW - Randomized algorithms

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A linear algorithm for computing convex hulls for random lines

Abstract

Keywords

ASJC Scopus subject areas

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