{"id":"https://openalex.org/W2058714019","doi":"https://doi.org/10.1016/0020-0190(95)00028-b","title":"Why is the 3D Delaunay triangulation difficult to construct?","display_name":"Why is the 3D Delaunay triangulation difficult to construct?","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W2058714019","doi":"https://doi.org/10.1016/0020-0190(95)00028-b","mag":"2058714019"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(95)00028-b","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(95)00028-b","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088120934","display_name":"K\u014dkichi Sugihara","orcid":"https://orcid.org/0000-0001-8618-6894"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kokichi Sugihara","raw_affiliation_strings":["Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan","Dept. of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Dept. of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031493797","display_name":"Hiroshi Inagaki","orcid":null},"institutions":[{"id":"https://openalex.org/I131361393","display_name":"National Institute of Technology, Toyota College","ror":"https://ror.org/01nw25822","country_code":"JP","type":"education","lineage":["https://openalex.org/I131361393"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Inagaki","raw_affiliation_strings":["Department of Information and Computer Engineering, Toyota College of Technology, 2-1 Eisei-cho, Toyota, Aichi 471, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Computer Engineering, Toyota College of Technology, 2-1 Eisei-cho, Toyota, Aichi 471, Japan","institution_ids":["https://openalex.org/I131361393"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088120934"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":2040,"currency":"USD","value_usd":2040},"apc_paid":null,"fwci":0.4673,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.66062992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"54","issue":"5","first_page":"275","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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":0.9994999766349792,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.8310526609420776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.61366868019104},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5942284464836121},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5808062553405762},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.576440691947937},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5431655049324036},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.46669772267341614},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4625043570995331},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4472865164279938},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4425605237483978},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.41010090708732605},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37610340118408203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.331199586391449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26132500171661377}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.8310526609420776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.61366868019104},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5942284464836121},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5808062553405762},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.576440691947937},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5431655049324036},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.46669772267341614},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4625043570995331},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4472865164279938},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4425605237483978},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.41010090708732605},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37610340118408203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.331199586391449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26132500171661377},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(95)00028-b","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(95)00028-b","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W47661094","https://openalex.org/W1608681432","https://openalex.org/W1967005434","https://openalex.org/W1978600082","https://openalex.org/W1994621439","https://openalex.org/W2002827932","https://openalex.org/W2005314985","https://openalex.org/W2016814475","https://openalex.org/W2022266599","https://openalex.org/W2022984527","https://openalex.org/W2028713840","https://openalex.org/W2048401959","https://openalex.org/W2056501879","https://openalex.org/W2082135154","https://openalex.org/W2092924973","https://openalex.org/W2122026921","https://openalex.org/W2125512233","https://openalex.org/W2128672663","https://openalex.org/W2138997203","https://openalex.org/W2155865801","https://openalex.org/W2733827376","https://openalex.org/W3041834803","https://openalex.org/W3089011204","https://openalex.org/W3148036050","https://openalex.org/W4300640952","https://openalex.org/W6601938452","https://openalex.org/W6636589970","https://openalex.org/W6652620132","https://openalex.org/W6654542211","https://openalex.org/W6656167526","https://openalex.org/W6657708470","https://openalex.org/W6660698218","https://openalex.org/W6678322375","https://openalex.org/W6740581430","https://openalex.org/W6783806979"],"related_works":["https://openalex.org/W2371552678","https://openalex.org/W2362269301","https://openalex.org/W2388858640","https://openalex.org/W35600536","https://openalex.org/W2368931253","https://openalex.org/W1697484951","https://openalex.org/W4297084911","https://openalex.org/W4298930346","https://openalex.org/W2142673965","https://openalex.org/W3137611772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}