{"publication_status":"published","day":"13","publication":"International Journal of Computational Geometry and Applications","date_published":"2017-04-13T00:00:00Z","_id":"481","volume":26,"author":[{"last_name":"Biedl","full_name":"Biedl, Therese","first_name":"Therese"},{"full_name":"Huber, Stefan","last_name":"Huber","id":"4700A070-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8871-5814","first_name":"Stefan"},{"first_name":"Peter","last_name":"Palfrader","full_name":"Palfrader, Peter"}],"doi":"10.1142/S0218195916600050","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"oa":1,"publist_id":"7338","language":[{"iso":"eng"}],"pubrep_id":"949","quality_controlled":"1","license":"https://creativecommons.org/licenses/by/4.0/","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"10892"}]},"intvolume":"        26","file":[{"creator":"system","content_type":"application/pdf","file_size":769296,"date_updated":"2020-07-14T12:46:35Z","file_name":"IST-2018-949-v1+1_2016_huber_PLanar_matchings.pdf","relation":"main_file","access_level":"open_access","date_created":"2018-12-12T10:09:34Z","file_id":"4758","checksum":"f79e8558bfe4b368dfefeb8eec2e3a5e"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","page":"211 - 229","file_date_updated":"2020-07-14T12:46:35Z","type":"journal_article","citation":{"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.","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.","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>.","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>.","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>"},"date_created":"2018-12-11T11:46:43Z","has_accepted_license":"1","scopus_import":1,"acknowledgement":"Supported by NSERC and the Ross and Muriel Cheriton Fellowship. Research supported by Austrian Science Fund (FWF): P25816-N15.","date_updated":"2023-02-21T16:06:22Z","month":"04","title":"Planar matchings for weighted straight skeletons","abstract":[{"lang":"eng","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."}],"year":"2017","ddc":["004","514","516"],"issue":"3-4","publisher":"World Scientific Publishing","status":"public","department":[{"_id":"HeEd"}],"oa_version":"Published Version"}