Stabbing segments with rectilinear objects

Mercè Claverol, Delia Garijo, Matias Korman, Carlos Seara, Rodrigo I. Silveira

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

We consider stabbing regions for a set S of n line segments in the plane, that is, regions in the plane that contain exactly one endpoint of each segment of S. Concretely, we provide efficient algorithms for reporting all combinatorially different stabbing regions for S for regions that can be described as the intersection of axis-parallel halfplanes; these are halfplanes, strips, quadrants, 3-sided rectangles, and rectangles. The running times are O(n) (for the halfplane case), O(n log n) (for strips, quadrants, and 3-sided rectangles), and O(n2 log n) (for rectangles).

Original languageEnglish
Title of host publicationFundamentals of Computation Theory - 20th International Symposium, FCT 2015, Proceedings
EditorsIgor Walukiewicz, Adrian Kosowski
PublisherSpringer Verlag
Pages53-64
Number of pages12
ISBN (Print)9783319221762
DOIs
Publication statusPublished - 2015
Event20th International Symposium on Fundamentals of Computation Theory, FCT 2015 - Gdansk, Poland
Duration: 2015 Aug 172015 Aug 19

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9210
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other20th International Symposium on Fundamentals of Computation Theory, FCT 2015
CountryPoland
CityGdansk
Period15/8/1715/8/19

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Claverol, M., Garijo, D., Korman, M., Seara, C., & Silveira, R. I. (2015). Stabbing segments with rectilinear objects. In I. Walukiewicz, & A. Kosowski (Eds.), Fundamentals of Computation Theory - 20th International Symposium, FCT 2015, Proceedings (pp. 53-64). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9210). Springer Verlag. https://doi.org/10.1007/978-3-319-22177-9_5