{"id":"https://openalex.org/W2119345955","doi":"https://doi.org/10.1145/2462356.2462365","title":"Hyperbolic delaunay complexes and voronoi diagrams made practical","display_name":"Hyperbolic delaunay complexes and voronoi diagrams made practical","publication_year":2013,"publication_date":"2013-06-17","ids":{"openalex":"https://openalex.org/W2119345955","doi":"https://doi.org/10.1145/2462356.2462365","mag":"2119345955"},"language":"en","primary_location":{"id":"doi:10.1145/2462356.2462365","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-00833760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067203759","display_name":"\u041c. \u0411. \u0411\u043e\u0433\u0434\u0430\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0001-5305-8925"},"institutions":[{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]},{"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"]},{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR","IN"],"is_corresponding":true,"raw_author_name":"Mikhail Bogdanov","raw_affiliation_strings":["INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","Geometric computing"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Geometric computing","institution_ids":["https://openalex.org/I4210153302"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043040182","display_name":"Olivier Devillers","orcid":"https://orcid.org/0000-0003-4275-5068"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"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"]},{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]}],"countries":["FR","IN"],"is_corresponding":false,"raw_author_name":"Olivier Devillers","raw_affiliation_strings":["INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","Geometric computing"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Geometric computing","institution_ids":["https://openalex.org/I4210153302"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033226902","display_name":"Monique Teillaud","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]},{"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"]},{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR","IN"],"is_corresponding":false,"raw_author_name":"Monique Teillaud","raw_affiliation_strings":["INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","Geometric computing"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis - M\u00e9diterran\u00e9e, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Geometric computing","institution_ids":["https://openalex.org/I4210153302"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067203759"],"corresponding_institution_ids":["https://openalex.org/I4210153302","https://openalex.org/I1326498283","https://openalex.org/I4210106545"],"apc_list":null,"apc_paid":null,"fwci":3.03711052,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9240628,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"67","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9947999715805054,"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":0.8805944919586182},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.6744500994682312},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.635011613368988},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.5996021032333374},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.560779333114624},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.5249871015548706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.50828617811203},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5050361752510071},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4986848831176758},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45839130878448486},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45099684596061707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41625893115997314},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4100596010684967},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.39700931310653687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3008910119533539},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2699284553527832},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14817556738853455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1344466507434845}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.8805944919586182},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.6744500994682312},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.635011613368988},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.5996021032333374},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.560779333114624},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5249871015548706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.50828617811203},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5050361752510071},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4986848831176758},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45839130878448486},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45099684596061707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41625893115997314},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4100596010684967},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.39700931310653687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3008910119533539},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2699284553527832},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14817556738853455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1344466507434845}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2462356.2462365","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00833760v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00833760","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":"Proceedings of the 29th Annual Symposium on Computational Geometry, Jun 2013, Rio, Brazil. pp.67-76, ⟨10.1145/2462356.2462365⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00833760v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00833760","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":"Proceedings of the 29th Annual Symposium on Computational Geometry, Jun 2013, Rio, Brazil. pp.67-76, ⟨10.1145/2462356.2462365⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W749223900","https://openalex.org/W1480854846","https://openalex.org/W1480898891","https://openalex.org/W1481724961","https://openalex.org/W1502669108","https://openalex.org/W1533061882","https://openalex.org/W1542976050","https://openalex.org/W1588677974","https://openalex.org/W1760537039","https://openalex.org/W1835191920","https://openalex.org/W1890795085","https://openalex.org/W1963807008","https://openalex.org/W1967005434","https://openalex.org/W1978267487","https://openalex.org/W1990381011","https://openalex.org/W2001148326","https://openalex.org/W2015751084","https://openalex.org/W2035774625","https://openalex.org/W2035934782","https://openalex.org/W2044720368","https://openalex.org/W2046053182","https://openalex.org/W2048475323","https://openalex.org/W2059236787","https://openalex.org/W2068131844","https://openalex.org/W2071676345","https://openalex.org/W2081034786","https://openalex.org/W2089600081","https://openalex.org/W2096115297","https://openalex.org/W2099151424","https://openalex.org/W2107034998","https://openalex.org/W2111938340","https://openalex.org/W2119345955","https://openalex.org/W2128672663","https://openalex.org/W2129761755","https://openalex.org/W2134240078","https://openalex.org/W2148653066","https://openalex.org/W2149906774","https://openalex.org/W2184879253","https://openalex.org/W2188235395","https://openalex.org/W2246701522","https://openalex.org/W2405619811","https://openalex.org/W2493051178","https://openalex.org/W2579405108","https://openalex.org/W2598456893","https://openalex.org/W2599509284","https://openalex.org/W2602804886","https://openalex.org/W2614835259","https://openalex.org/W2732012689","https://openalex.org/W3015754474","https://openalex.org/W3103303107","https://openalex.org/W4234935780","https://openalex.org/W4293217885","https://openalex.org/W6628917563","https://openalex.org/W6639584866","https://openalex.org/W6670568197","https://openalex.org/W6676894568","https://openalex.org/W6814114727","https://openalex.org/W6991384173"],"related_works":["https://openalex.org/W1481755670","https://openalex.org/W2354869996","https://openalex.org/W2359751290","https://openalex.org/W2206755844","https://openalex.org/W431872879","https://openalex.org/W2371448287","https://openalex.org/W2358109229","https://openalex.org/W2096247527","https://openalex.org/W98646666","https://openalex.org/W156833103"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}