{"oa":1,"title":"Triangulating submanifolds: An elementary and quantified version of Whitney’s method","ddc":["516"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"intvolume":"        66","external_id":{"isi":["000597770300001"]},"date_published":"2021-07-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","doi":"10.1007/s00454-020-00250-8","citation":{"apa":"Boissonnat, J.-D., Kachanovich, S., &#38; Wintraecken, M. (2021). Triangulating submanifolds: An elementary and quantified version of Whitney’s method. <i>Discrete &#38; Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-020-00250-8\">https://doi.org/10.1007/s00454-020-00250-8</a>","ista":"Boissonnat J-D, Kachanovich S, Wintraecken M. 2021. Triangulating submanifolds: An elementary and quantified version of Whitney’s method. Discrete &#38; Computational Geometry. 66(1), 386–434.","short":"J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete &#38; Computational Geometry 66 (2021) 386–434.","mla":"Boissonnat, Jean-Daniel, et al. “Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s Method.” <i>Discrete &#38; Computational Geometry</i>, vol. 66, no. 1, Springer Nature, 2021, pp. 386–434, doi:<a href=\"https://doi.org/10.1007/s00454-020-00250-8\">10.1007/s00454-020-00250-8</a>.","ieee":"J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds: An elementary and quantified version of Whitney’s method,” <i>Discrete &#38; Computational Geometry</i>, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.","ama":"Boissonnat J-D, Kachanovich S, Wintraecken M. Triangulating submanifolds: An elementary and quantified version of Whitney’s method. <i>Discrete &#38; Computational Geometry</i>. 2021;66(1):386-434. doi:<a href=\"https://doi.org/10.1007/s00454-020-00250-8\">10.1007/s00454-020-00250-8</a>","chicago":"Boissonnat, Jean-Daniel, Siargey Kachanovich, and Mathijs Wintraecken. “Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s Method.” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00454-020-00250-8\">https://doi.org/10.1007/s00454-020-00250-8</a>."},"ec_funded":1,"article_type":"original","quality_controlled":"1","has_accepted_license":"1","keyword":["Theoretical Computer Science","Computational Theory and Mathematics","Geometry and Topology","Discrete Mathematics and Combinatorics"],"abstract":[{"text":"We quantise Whitney’s construction to prove the existence of a triangulation for any C^2 manifold, so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.","lang":"eng"}],"isi":1,"publisher":"Springer Nature","type":"journal_article","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file_date_updated":"2021-08-06T09:52:29Z","day":"01","year":"2021","volume":66,"publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"language":[{"iso":"eng"}],"issue":"1","date_updated":"2023-09-05T15:02:40Z","date_created":"2020-12-12T11:07:02Z","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"publication_status":"published","month":"07","file":[{"file_id":"9795","success":1,"content_type":"application/pdf","checksum":"c848986091e56699dc12de85adb1e39c","file_size":983307,"relation":"main_file","file_name":"2021_DescreteCompGeopmetry_Boissonnat.pdf","date_created":"2021-08-06T09:52:29Z","date_updated":"2021-08-06T09:52:29Z","access_level":"open_access","creator":"kschuh"}],"oa_version":"Published Version","_id":"8940","status":"public","author":[{"first_name":"Jean-Daniel","last_name":"Boissonnat","full_name":"Boissonnat, Jean-Daniel"},{"last_name":"Kachanovich","full_name":"Kachanovich, Siargey","first_name":"Siargey"},{"first_name":"Mathijs","last_name":"Wintraecken","full_name":"Wintraecken, Mathijs","id":"307CFBC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7472-2220"}],"publication":"Discrete & Computational Geometry","department":[{"_id":"HeEd"}],"page":"386-434","acknowledgement":"This work has been funded by the European Research Council under the European Union’s ERC Grant Agreement Number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). The third author also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. Open access funding provided by the Institute of Science and Technology (IST Austria)."}