{"id":"https://openalex.org/W2138997203","doi":"https://doi.org/10.1142/s0218195994000124","title":"A ROBUST TOPOLOGY-ORIENTED INCREMENTAL ALGORITHM FOR VORONOI DIAGRAMS","display_name":"A ROBUST TOPOLOGY-ORIENTED INCREMENTAL ALGORITHM FOR VORONOI DIAGRAMS","publication_year":1994,"publication_date":"1994-06-01","ids":{"openalex":"https://openalex.org/W2138997203","doi":"https://doi.org/10.1142/s0218195994000124","mag":"2138997203"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195994000124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195994000124","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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":false,"raw_author_name":"KOKICHI SUGIHARA","raw_affiliation_strings":["Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7\u20133\u20131 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\u20133\u20131 Hongo, Bunkyo-ku, Tokyo 113, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079566346","display_name":"Masao Iri","orcid":null},"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":false,"raw_author_name":"MASAO IRI","raw_affiliation_strings":["Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, 7\u20133\u20131 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\u20133\u20131 Hongo, Bunkyo-ku, Tokyo 113, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7155,"has_fulltext":false,"cited_by_count":104,"citation_normalized_percentile":{"value":0.93378097,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"04","issue":"02","first_page":"179","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9707000255584717,"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"}},"topics":[{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9707000255584717,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9702000021934509,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.963100016117096,"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":0.9363534450531006},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7378137707710266},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7144646644592285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5790984630584717},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.5422272682189941},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.4948045611381531},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3260907530784607},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11524853110313416}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9363534450531006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7378137707710266},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7144646644592285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5790984630584717},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.5422272682189941},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.4948045611381531},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3260907530784607},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11524853110313416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195994000124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195994000124","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2369399365","https://openalex.org/W2371448287","https://openalex.org/W2193153224","https://openalex.org/W2384419600","https://openalex.org/W2353535928","https://openalex.org/W2071950360","https://openalex.org/W4324325648","https://openalex.org/W1930867958","https://openalex.org/W1483512156","https://openalex.org/W2138997203"],"abstract_inverted_index":{"The":[0,13,64],"paper":[1],"presents":[2],"a":[3,106,202],"robust":[4,29,112],"algorithm":[5,14,65,93,109,156,187,196],"for":[6,56,206],"constructing":[7],"Voronoi":[8,144,204],"diagrams":[9],"in":[10,25,69,86,90,113,160,199,212,216],"the":[11,40,73,79,91,108,114,124,133,142,155,161,164,168,172,180,186,191,195,213,217],"plane.":[12,218],"is":[15,22,28,76,96,110,157],"based":[16],"on":[17,39,72,98,102],"an":[18,139],"incremental":[19],"method,":[20],"but":[21],"quite":[23],"new":[24],"that":[26,42,81,116,163],"it":[27,117],"against":[30],"numerical":[31,43,60,82,103,127,183],"errors.":[32],"Conventionally,":[33],"geometric":[34],"algorithms":[35],"have":[36,149],"been":[37],"designed":[38,77],"assumption":[41],"errors":[44,61,83],"do":[45],"not":[46,53],"take":[47],"place,":[48],"and":[49],"hence":[50],"they":[51],"are":[52,62,84],"necessarily":[54],"valid":[55],"real":[57,87],"computers":[58],"where":[59],"inevitable.":[63],"to":[66,141,167],"be":[67,136],"proposed":[68,92],"this":[70],"paper,":[71],"other":[74],"hand,":[75],"with":[78],"recognition":[80],"inevitable":[85],"computation;":[88],"i.e.,":[89],"higher":[94],"priority":[95],"placed":[97,211],"topological":[99],"structures":[100],"than":[101,138],"values.":[104],"As":[105],"result,":[107],"\"completely\"":[111],"sense":[115,162],"always":[118],"gives":[119],"some":[120],"output":[121,134,165],"however":[122],"poor":[123],"precision":[125,173],"of":[126,179,182,194],"computation":[128,184],"may":[129],"be.":[130],"In":[131],"general,":[132],"cannot":[135],"more":[137],"approximation":[140],"true":[143,169],"diagram":[145,170,205],"which":[146],"we":[147],"should":[148],"got":[150],"by":[151],"infinite-precision":[152],"computation.":[153],"However,":[154],"asymptotically":[158],"correct":[159,203],"converges":[166],"as":[171],"becomes":[174],"higher.":[175],"Moreover,":[176],"careful":[177],"choice":[178],"way":[181],"makes":[185],"stable":[188],"enough;":[189],"indeed":[190],"present":[192],"version":[193],"can":[197],"construct":[198],"single-precision":[200],"arithmetic":[201],"one":[207],"million":[208],"generators":[209],"randomly":[210],"unit":[214],"square":[215]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
