{"id":"https://openalex.org/W1571470678","doi":"https://doi.org/10.1007/978-3-642-13193-6_39","title":"Robust and Efficient Delaunay Triangulations of Points on Or Close to a Sphere","display_name":"Robust and Efficient Delaunay Triangulations of Points on Or Close to a Sphere","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1571470678","doi":"https://doi.org/10.1007/978-3-642-13193-6_39","mag":"1571470678"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13193-6_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13193-6_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-03469649","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008149232","display_name":"Manuel Caroli","orcid":null},"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Manuel Caroli","raw_affiliation_strings":["INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103530367","display_name":"Pedro Machado Manh\u00e3es de Castro","orcid":null},"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"]},{"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"],"is_corresponding":false,"raw_author_name":"Pedro M. M. de Castro","raw_affiliation_strings":["INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077337377","display_name":"S\u00e9bastien Loriot","orcid":null},"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"]},{"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"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Loriot","raw_affiliation_strings":["INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010004833","display_name":"Olivier Rouiller","orcid":null},"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"]},{"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"],"is_corresponding":false,"raw_author_name":"Olivier Rouiller","raw_affiliation_strings":["INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033226902","display_name":"Monique Teillaud","orcid":null},"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"]},{"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"],"is_corresponding":false,"raw_author_name":"Monique Teillaud","raw_affiliation_strings":["INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, M\u00e9diterran\u00e9e, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021965210","display_name":"Camille Wormser","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Camille Wormser","raw_affiliation_strings":[", ETH Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", ETH Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5008149232"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210106545"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8882,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.82211538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"462","last_page":"473"},"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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":0.9955000281333923,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.9591753482818604},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.8162658214569092},{"id":"https://openalex.org/keywords/pitteway-triangulation","display_name":"Pitteway triangulation","score":0.7186196446418762},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.6809040904045105},{"id":"https://openalex.org/keywords/rupperts-algorithm","display_name":"Ruppert's algorithm","score":0.5639418363571167},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.5603889226913452},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5252270698547363},{"id":"https://openalex.org/keywords/surface-triangulation","display_name":"Surface triangulation","score":0.5204905867576599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4830653965473175},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.43966910243034363},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4211379289627075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4028676152229309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4015938341617584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3966262936592102},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2760400176048279}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.9591753482818604},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.8162658214569092},{"id":"https://openalex.org/C178609930","wikidata":"https://www.wikidata.org/wiki/Q3538712","display_name":"Pitteway triangulation","level":3,"score":0.7186196446418762},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.6809040904045105},{"id":"https://openalex.org/C99886907","wikidata":"https://www.wikidata.org/wiki/Q105742691","display_name":"Ruppert's algorithm","level":4,"score":0.5639418363571167},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.5603889226913452},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5252270698547363},{"id":"https://openalex.org/C50285192","wikidata":"https://www.wikidata.org/wiki/Q15713605","display_name":"Surface triangulation","level":4,"score":0.5204905867576599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4830653965473175},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43966910243034363},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4211379289627075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4028676152229309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4015938341617584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3966262936592102},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2760400176048279},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-13193-6_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13193-6_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.186.5678","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.186.5678","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/44/19/38/PDF/RR-7004.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03469649v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03469649","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":"Symposium on Experimental Algorithms, 2010, Naples, Italy. pp.462-473","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:inria-00405478v4","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00405478","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":"[Research Report] RR-7004, INRIA. 2009","raw_type":"Reports"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03469649v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03469649","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":"Symposium on Experimental Algorithms, 2010, Naples, Italy. pp.462-473","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W133771224","https://openalex.org/W174799390","https://openalex.org/W1425488884","https://openalex.org/W1481724961","https://openalex.org/W1542085343","https://openalex.org/W1576373876","https://openalex.org/W1890795085","https://openalex.org/W1958385715","https://openalex.org/W1967005434","https://openalex.org/W1986405515","https://openalex.org/W2046053182","https://openalex.org/W2048475323","https://openalex.org/W2051808729","https://openalex.org/W2054912417","https://openalex.org/W2076406769","https://openalex.org/W2083598506","https://openalex.org/W2124585134","https://openalex.org/W2129761755","https://openalex.org/W2148713284","https://openalex.org/W2149906774","https://openalex.org/W2162294210","https://openalex.org/W2163455458","https://openalex.org/W2169004268","https://openalex.org/W2184879253","https://openalex.org/W2188235395","https://openalex.org/W2207050309","https://openalex.org/W2329494599","https://openalex.org/W2405619811","https://openalex.org/W2482639970","https://openalex.org/W2614835259","https://openalex.org/W3146098558","https://openalex.org/W4237503164","https://openalex.org/W4242246215","https://openalex.org/W4252186773"],"related_works":["https://openalex.org/W149465645","https://openalex.org/W1529719486","https://openalex.org/W1979362696","https://openalex.org/W4232052003","https://openalex.org/W2172589357","https://openalex.org/W2051200663","https://openalex.org/W2359979928","https://openalex.org/W2367036512","https://openalex.org/W2001351033","https://openalex.org/W2611154072"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
