{"id":"https://openalex.org/W2045729041","doi":"https://doi.org/10.1007/s10852-008-9097-6","title":"A Fast Robust Algorithm for Computing Discrete Voronoi Diagrams","display_name":"A Fast Robust Algorithm for Computing Discrete Voronoi Diagrams","publication_year":2008,"publication_date":"2008-12-15","ids":{"openalex":"https://openalex.org/W2045729041","doi":"https://doi.org/10.1007/s10852-008-9097-6","mag":"2045729041"},"language":"en","primary_location":{"id":"doi:10.1007/s10852-008-9097-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-008-9097-6","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Modelling and Algorithms","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/A5028185137","display_name":"Mirko Veli\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I2801239119","display_name":"Australian Regenerative Medicine Institute","ror":"https://ror.org/02qa5kg76","country_code":"AU","type":"facility","lineage":["https://openalex.org/I2801037857","https://openalex.org/I2801239119","https://openalex.org/I56590836"]},{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Mirko Veli\u0107","raw_affiliation_strings":["School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","Monash university"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Monash university","institution_ids":["https://openalex.org/I2801239119"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048691898","display_name":"Dave A. May","orcid":"https://orcid.org/0000-0003-2471-7498"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]},{"id":"https://openalex.org/I2801239119","display_name":"Australian Regenerative Medicine Institute","ror":"https://ror.org/02qa5kg76","country_code":"AU","type":"facility","lineage":["https://openalex.org/I2801037857","https://openalex.org/I2801239119","https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dave May","raw_affiliation_strings":["School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","Monash university"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Monash university","institution_ids":["https://openalex.org/I2801239119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027423843","display_name":"Louis Moresi","orcid":"https://orcid.org/0000-0003-3685-174X"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]},{"id":"https://openalex.org/I2801239119","display_name":"Australian Regenerative Medicine Institute","ror":"https://ror.org/02qa5kg76","country_code":"AU","type":"facility","lineage":["https://openalex.org/I2801037857","https://openalex.org/I2801239119","https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Louis Moresi","raw_affiliation_strings":["School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","Monash university"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Monash University, Building 28, Clayton, Victoria, 3800, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Monash university","institution_ids":["https://openalex.org/I2801239119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028185137"],"corresponding_institution_ids":["https://openalex.org/I2801239119","https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":0.7512,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81843611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"3","first_page":"343","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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":0.9990000128746033,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9969000220298767,"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/T11106","display_name":"Data Management and Algorithms","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9795517921447754},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6944702863693237},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.6668320894241333},{"id":"https://openalex.org/keywords/weighted-voronoi-diagram","display_name":"Weighted Voronoi diagram","score":0.5921065807342529},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5725801587104797},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.560742974281311},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4853319227695465},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.47686538100242615},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4576628804206848},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4411044418811798},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.43316924571990967},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.4170064628124237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3807200491428375},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22982949018478394},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1459912359714508}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9795517921447754},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6944702863693237},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.6668320894241333},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.5921065807342529},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5725801587104797},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.560742974281311},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4853319227695465},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.47686538100242615},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4576628804206848},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4411044418811798},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.43316924571990967},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.4170064628124237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3807200491428375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22982949018478394},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1459912359714508},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10852-008-9097-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-008-9097-6","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Modelling and Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/733799910","is_oa":false,"landing_page_url":"https://hdl.handle.net/1885/733799910","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Mathematical Modelling and Algorithms","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320971","display_name":"Monash University","ror":"https://ror.org/02bfwt286"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1591608973","https://openalex.org/W1966685253","https://openalex.org/W1967005434","https://openalex.org/W1985094595","https://openalex.org/W2013355899","https://openalex.org/W2034188696","https://openalex.org/W2045471590","https://openalex.org/W2055905380","https://openalex.org/W2059043274","https://openalex.org/W2061702899","https://openalex.org/W2092924973","https://openalex.org/W2120838877","https://openalex.org/W2128560225","https://openalex.org/W2138132024","https://openalex.org/W2153375557","https://openalex.org/W2232710831","https://openalex.org/W2587288333","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2015548030","https://openalex.org/W2739428663","https://openalex.org/W2383087774","https://openalex.org/W1992160534","https://openalex.org/W2116864555","https://openalex.org/W2389906634","https://openalex.org/W2148542317","https://openalex.org/W2392199123","https://openalex.org/W1562406979","https://openalex.org/W4239527536"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}