{"month":"04","year":"2017","scopus_import":1,"file_date_updated":"2020-07-14T12:46:35Z","language":[{"iso":"eng"}],"department":[{"_id":"HeEd"}],"doi":"10.1142/S0218195916600050","oa":1,"date_created":"2018-12-11T11:46:43Z","page":"211 - 229","author":[{"first_name":"Therese","last_name":"Biedl","full_name":"Biedl, Therese"},{"full_name":"Huber, Stefan","id":"4700A070-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8871-5814","first_name":"Stefan","last_name":"Huber"},{"first_name":"Peter","last_name":"Palfrader","full_name":"Palfrader, Peter"}],"oa_version":"Published Version","ddc":["004","514","516"],"_id":"481","intvolume":"        26","type":"journal_article","publist_id":"7338","date_published":"2017-04-13T00:00:00Z","day":"13","status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publication_status":"published","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"text":"We introduce planar matchings on directed pseudo-line arrangements, which yield a planar set of pseudo-line segments such that only matching-partners are adjacent. By translating the planar matching problem into a corresponding stable roommates problem we show that such matchings always exist. Using our new framework, we establish, for the first time, a complete, rigorous definition of weighted straight skeletons, which are based on a so-called wavefront propagation process. We present a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings.","lang":"eng"}],"acknowledgement":"Supported by NSERC and the Ross and Muriel Cheriton Fellowship. Research supported by Austrian Science Fund (FWF): P25816-N15.","corr_author":"1","citation":{"ista":"Biedl T, Huber S, Palfrader P. 2017. Planar matchings for weighted straight skeletons. International Journal of Computational Geometry and Applications. 26(3–4), 211–229.","ama":"Biedl T, Huber S, Palfrader P. Planar matchings for weighted straight skeletons. <i>International Journal of Computational Geometry and Applications</i>. 2017;26(3-4):211-229. doi:<a href=\"https://doi.org/10.1142/S0218195916600050\">10.1142/S0218195916600050</a>","ieee":"T. Biedl, S. Huber, and P. Palfrader, “Planar matchings for weighted straight skeletons,” <i>International Journal of Computational Geometry and Applications</i>, vol. 26, no. 3–4. World Scientific Publishing, pp. 211–229, 2017.","chicago":"Biedl, Therese, Stefan Huber, and Peter Palfrader. “Planar Matchings for Weighted Straight Skeletons.” <i>International Journal of Computational Geometry and Applications</i>. World Scientific Publishing, 2017. <a href=\"https://doi.org/10.1142/S0218195916600050\">https://doi.org/10.1142/S0218195916600050</a>.","short":"T. Biedl, S. Huber, P. Palfrader, International Journal of Computational Geometry and Applications 26 (2017) 211–229.","mla":"Biedl, Therese, et al. “Planar Matchings for Weighted Straight Skeletons.” <i>International Journal of Computational Geometry and Applications</i>, vol. 26, no. 3–4, World Scientific Publishing, 2017, pp. 211–29, doi:<a href=\"https://doi.org/10.1142/S0218195916600050\">10.1142/S0218195916600050</a>.","apa":"Biedl, T., Huber, S., &#38; Palfrader, P. (2017). Planar matchings for weighted straight skeletons. <i>International Journal of Computational Geometry and Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0218195916600050\">https://doi.org/10.1142/S0218195916600050</a>"},"pubrep_id":"949","publication":"International Journal of Computational Geometry and Applications","publisher":"World Scientific Publishing","related_material":{"record":[{"relation":"earlier_version","id":"10892","status":"public"}]},"volume":26,"file":[{"relation":"main_file","file_size":769296,"file_name":"IST-2018-949-v1+1_2016_huber_PLanar_matchings.pdf","creator":"system","file_id":"4758","access_level":"open_access","content_type":"application/pdf","checksum":"f79e8558bfe4b368dfefeb8eec2e3a5e","date_updated":"2020-07-14T12:46:35Z","date_created":"2018-12-12T10:09:34Z"}],"issue":"3-4","has_accepted_license":"1","title":"Planar matchings for weighted straight skeletons","date_updated":"2024-10-09T21:02:26Z","quality_controlled":"1"}