[{"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"4758","checksum":"f79e8558bfe4b368dfefeb8eec2e3a5e","creator":"system","file_size":769296,"date_updated":"2020-07-14T12:46:35Z","file_name":"IST-2018-949-v1+1_2016_huber_PLanar_matchings.pdf","date_created":"2018-12-12T10:09:34Z"}],"language":[{"iso":"eng"}],"publication_status":"published","issue":"3-4","related_material":{"record":[{"status":"public","id":"10892","relation":"earlier_version"}]},"volume":26,"oa_version":"Published Version","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."}],"month":"04","intvolume":" 26","scopus_import":1,"ddc":["004","514","516"],"date_updated":"2023-02-21T16:06:22Z","file_date_updated":"2020-07-14T12:46:35Z","department":[{"_id":"HeEd"}],"_id":"481","status":"public","pubrep_id":"949","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"13","publication":"International Journal of Computational Geometry and Applications","has_accepted_license":"1","year":"2017","doi":"10.1142/S0218195916600050","date_published":"2017-04-13T00:00:00Z","date_created":"2018-12-11T11:46:43Z","page":"211 - 229","acknowledgement":"Supported by NSERC and the Ross and Muriel Cheriton Fellowship. Research supported by Austrian Science Fund (FWF): P25816-N15.","publisher":"World Scientific Publishing","quality_controlled":"1","oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","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.","chicago":"Biedl, Therese, Stefan Huber, and Peter Palfrader. “Planar Matchings for Weighted Straight Skeletons.” International Journal of Computational Geometry and Applications. World Scientific Publishing, 2017. https://doi.org/10.1142/S0218195916600050.","apa":"Biedl, T., Huber, S., & Palfrader, P. (2017). Planar matchings for weighted straight skeletons. International Journal of Computational Geometry and Applications. World Scientific Publishing. https://doi.org/10.1142/S0218195916600050","ama":"Biedl T, Huber S, Palfrader P. Planar matchings for weighted straight skeletons. International Journal of Computational Geometry and Applications. 2017;26(3-4):211-229. doi:10.1142/S0218195916600050","short":"T. Biedl, S. Huber, P. Palfrader, International Journal of Computational Geometry and Applications 26 (2017) 211–229.","ieee":"T. Biedl, S. Huber, and P. Palfrader, “Planar matchings for weighted straight skeletons,” International Journal of Computational Geometry and Applications, vol. 26, no. 3–4. World Scientific Publishing, pp. 211–229, 2017.","mla":"Biedl, Therese, et al. “Planar Matchings for Weighted Straight Skeletons.” International Journal of Computational Geometry and Applications, vol. 26, no. 3–4, World Scientific Publishing, 2017, pp. 211–29, doi:10.1142/S0218195916600050."},"title":"Planar matchings for weighted straight skeletons","publist_id":"7338","author":[{"first_name":"Therese","full_name":"Biedl, Therese","last_name":"Biedl"},{"last_name":"Huber","orcid":"0000-0002-8871-5814","full_name":"Huber, Stefan","first_name":"Stefan","id":"4700A070-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Peter","last_name":"Palfrader","full_name":"Palfrader, Peter"}]}]