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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.issued2014-09
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 Science + Business Media
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.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.arxividarXiv:1405.4691
kaust.personMencel, Liam A.
kaust.personVigneron, Antoine E.
refterms.dateFOA2018-06-14T08:22:57Z


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