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dc.contributor.authorCheng, Siu-Wing
dc.contributor.authorMencel, Liam A.
dc.contributor.authorVigneron, Antoine E.
dc.date.accessioned2018-05-02T05:30:26Z
dc.date.available2015-04-02T13:24:59Z
dc.date.available2018-05-02T05:30:26Z
dc.date.issued2014-08-16
dc.identifier.citationCheng, Siu-Wing, Liam Mencel, and Antoine Vigneron. "A faster algorithm for computing straight skeletons." Algorithms-ESA 2014. Springer Berlin Heidelberg, 2014. 272-283
dc.identifier.issn0302-9743
dc.identifier.doi10.1007/978-3-662-44777-2_23
dc.identifier.doi10.1145/2898961
dc.identifier.urihttp://hdl.handle.net/10754/348465
dc.description.abstractWe present a new algorithm for computing the straight skeleton of a polygon. For a polygon with n vertices, among which r are reflex vertices, we give a deterministic algorithm that reduces the straight skeleton computation to a motorcycle graph computation in O(n (logn)logr) time. It improves on the previously best known algorithm for this reduction, which is randomized, and runs in expected O(n√h+1log2n) time for a polygon with h holes. Using known motorcycle graph algorithms, our result yields improved time bounds for computing straight skeletons. In particular, we can compute the straight skeleton of a non-degenerate polygon in O(n (logn) logr + r 4/3 + ε ) time for any ε > 0. On degenerate input, our time bound increases to O(n (logn) logr + r 17/11 + ε ).
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/chapter/10.1007/978-3-662-44777-2_23
dc.relation.urlhttp://arxiv.org/abs/1405.4691
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007%2F978-3-662-44777-2_23
dc.titleA Faster Algorithm for Computing Straight Skeletons
dc.typeConference Paper
dc.contributor.departmentComputer Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalLecture Notes in Computer Science
dc.conference.date2014-09-08 to 2014-09-10
dc.conference.name22nd Annual European Symposium on Algorithms, ESA 2014
dc.conference.locationWroclaw, POL
dc.eprint.versionPost-print
dc.contributor.institutionThe Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxivid1405.4691
kaust.personMencel, Liam A.
kaust.personVigneron, Antoine E.
refterms.dateFOA2018-06-14T08:22:57Z
dc.date.published-online2014-08-16
dc.date.published-print2014
dc.date.posted2014-05-19


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