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Convex transversals

✍ Scribed by Arkin, Esther M.; Dieckmann, Claudia; Knauer, Christian; Mitchell, Joseph S.B.; Polishchuk, Valentin; Schlipf, Lena; Yang, Shang


Book ID
121375988
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
450 KB
Volume
47
Category
Article
ISSN
0925-7721

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Transversal of disjoint convex polygons
✍ Francis Y.L. Chin; Hong Shen; Fu Lee Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 146 KB

Given a set S of n disjoint convex polygons {P i | 1 i n} in a plane, each with k i vertices, the transversal problem is to find, if there exists one, a straight line that goes through every polygon in S. We show that the transversal problem can be solved in O(N + n log n) time, where N = n i=1 k i