{"id":"https://openalex.org/W1822776277","doi":"https://doi.org/10.1007/978-3-642-15414-0_20","title":"Optimizing Voronoi Diagrams for Polygonal Finite Element Computations","display_name":"Optimizing Voronoi Diagrams for Polygonal Finite Element Computations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1822776277","doi":"https://doi.org/10.1007/978-3-642-15414-0_20","mag":"1822776277"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-15414-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15414-0_20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Meshing Roundtable","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00535602","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038882069","display_name":"Daniel Sieger","orcid":"https://orcid.org/0000-0001-9504-7909"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Daniel Sieger","raw_affiliation_strings":["Bielefeld University, Germany"],"affiliations":[{"raw_affiliation_string":"Bielefeld University, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086753450","display_name":"Pierre Alliez","orcid":"https://orcid.org/0000-0002-6214-4005"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Alliez","raw_affiliation_strings":["INRIA Sophia-Antipolis, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033450578","display_name":"Mario Botsch","orcid":"https://orcid.org/0000-0001-9954-120X"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mario Botsch","raw_affiliation_strings":["Bielefeld University, Germany"],"affiliations":[{"raw_affiliation_string":"Bielefeld University, Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038882069"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":5.0352,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.94871795,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"335","last_page":"350"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.978925883769989},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.9335606098175049},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7143360376358032},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7031122446060181},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.6741428375244141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.507246196269989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5030824542045593},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49627476930618286},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.48176026344299316},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.4442082643508911},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3820563554763794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3461748957633972},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2800736129283905},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1831257939338684},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14862197637557983},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12908700108528137}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.978925883769989},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.9335606098175049},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7143360376358032},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7031122446060181},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.6741428375244141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.507246196269989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5030824542045593},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49627476930618286},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.48176026344299316},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.4442082643508911},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3820563554763794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3461748957633972},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2800736129283905},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1831257939338684},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14862197637557983},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12908700108528137}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-15414-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15414-0_20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th International Meshing Roundtable","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.392.9423","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.392.9423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://graphics.uni-bielefeld.de/publications/imr19-optimization.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00535602v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00535602","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Meshing Roundtable, Sandia Labs, Oct 2010, Chattanooga, United States. pp.335-350, &#x27E8;10.1007/978-3-642-15414-0_20&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:pub.librecat.org:1961537","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/1961537","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sieger D, Alliez P, Botsch M. Optimizing Voronoi Diagrams for Polygonal Finite Element Computations. In: Shontz S, ed. &lt;em&gt;Proceedings of the 19th International Meshing Roundtable&lt;/em&gt;. Berlin: Springer;  2010: 335-350.","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00535602v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00535602","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Meshing Roundtable, Sandia Labs, Oct 2010, Chattanooga, United States. pp.335-350, &#x27E8;10.1007/978-3-642-15414-0_20&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[{"score":0.8600000143051147,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W122719306","https://openalex.org/W1490688156","https://openalex.org/W1511480656","https://openalex.org/W1568449254","https://openalex.org/W1573186872","https://openalex.org/W1575701986","https://openalex.org/W1585984841","https://openalex.org/W1603881382","https://openalex.org/W1751078205","https://openalex.org/W1968819696","https://openalex.org/W1969402485","https://openalex.org/W1977148430","https://openalex.org/W1980460750","https://openalex.org/W1982289281","https://openalex.org/W2002769845","https://openalex.org/W2009370981","https://openalex.org/W2014722529","https://openalex.org/W2021167140","https://openalex.org/W2021923954","https://openalex.org/W2051420955","https://openalex.org/W2056422961","https://openalex.org/W2064198982","https://openalex.org/W2075480244","https://openalex.org/W2079209697","https://openalex.org/W2080233464","https://openalex.org/W2080592425","https://openalex.org/W2089024363","https://openalex.org/W2089142741","https://openalex.org/W2090267299","https://openalex.org/W2099760642","https://openalex.org/W2116287770","https://openalex.org/W2118970948","https://openalex.org/W2120103450","https://openalex.org/W2125537373","https://openalex.org/W2130814852","https://openalex.org/W2133544837","https://openalex.org/W2135301926","https://openalex.org/W2164011111","https://openalex.org/W2169363295","https://openalex.org/W2169464027","https://openalex.org/W2171601363","https://openalex.org/W2798909945","https://openalex.org/W3132178687","https://openalex.org/W3136375062","https://openalex.org/W3173138228","https://openalex.org/W3209870235","https://openalex.org/W4229874903","https://openalex.org/W4233370650","https://openalex.org/W4236129643","https://openalex.org/W4236316114"],"related_works":["https://openalex.org/W2059217232","https://openalex.org/W1992160534","https://openalex.org/W2371724110","https://openalex.org/W1930867958","https://openalex.org/W2053576657","https://openalex.org/W1995318580","https://openalex.org/W2041214247","https://openalex.org/W2133344964","https://openalex.org/W4206423751","https://openalex.org/W1822776277"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
