Recognizing weakly simple polygons

Hugo A. Akitaya, Greg Aloupis, Jeff Erickson, Csaba D. Tóth

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

Abstract

We present an O(n log n)-time algorithm that determines whether a given planar n-gon is weakly simple. This improves upon an O(n2 log n)-time algorithm by Chang, Erickson, and Xu [4]. Weakly simple polygons are required as input for several geometric algorithms. As such, how to recognize simple or weakly simple polygons is a fundamental question.

Original languageEnglish (US)
Title of host publication32nd International Symposium on Computational Geometry, SoCG 2016
EditorsSandor Fekete, Anna Lubiw
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages8.1-8.16
ISBN (Electronic)9783959770095
DOIs
StatePublished - Jun 1 2016
Event32nd International Symposium on Computational Geometry, SoCG 2016 - Boston, United States
Duration: Jun 14 2016Jun 17 2016

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume51
ISSN (Print)1868-8969

Other

Other32nd International Symposium on Computational Geometry, SoCG 2016
Country/TerritoryUnited States
CityBoston
Period6/14/166/17/16

Keywords

  • Crossing
  • Weakly simple polygon

ASJC Scopus subject areas

  • Software

Fingerprint

Dive into the research topics of 'Recognizing weakly simple polygons'. Together they form a unique fingerprint.

Cite this