{"id":"https://openalex.org/W2136625330","doi":"https://doi.org/10.1145/1629255.1629294","title":"Mesh clustering by approximating centroidal Voronoi tessellation","display_name":"Mesh clustering by approximating centroidal Voronoi tessellation","publication_year":2009,"publication_date":"2009-10-05","ids":{"openalex":"https://openalex.org/W2136625330","doi":"https://doi.org/10.1145/1629255.1629294","mag":"2136625330"},"language":"en","primary_location":{"id":"doi:10.1145/1629255.1629294","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-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/A5028576302","display_name":"Fengtao Fan","orcid":"https://orcid.org/0000-0002-9828-6988"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fengtao Fan","raw_affiliation_strings":["University of Kentucky","#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103627892","display_name":"Fuhua Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fuhua (Frank) Cheng","raw_affiliation_strings":["University of Kentucky","#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113685768","display_name":"Conglin Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Conglin Huang","raw_affiliation_strings":["University of Kentucky","#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100680725","display_name":"Yong Li","orcid":"https://orcid.org/0000-0001-7607-0994"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yong Li","raw_affiliation_strings":["University of Kentucky","#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387974","display_name":"Jianzhong Wang","orcid":"https://orcid.org/0000-0002-4250-7956"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianzhong Wang","raw_affiliation_strings":["University of Kentucky","#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Univ. of Kentucky#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064711865","display_name":"Shuhua Lai","orcid":"https://orcid.org/0000-0001-5678-6848"},"institutions":[{"id":"https://openalex.org/I11786554","display_name":"Virginia State University","ror":"https://ror.org/04esvpn06","country_code":"US","type":"education","lineage":["https://openalex.org/I11786554"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuhua Lai","raw_affiliation_strings":["Virginia State University","virginia state university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia State University","institution_ids":["https://openalex.org/I11786554"]},{"raw_affiliation_string":"virginia state university","institution_ids":["https://openalex.org/I11786554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18055393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"301","last_page":"306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9998000264167786,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"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/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.9038301706314087},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.8630663156509399},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7350338101387024},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.658021867275238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5461782217025757},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5283454060554504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5238185524940491},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48994630575180054},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.4777471423149109},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4769381880760193},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.4661634564399719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4364500939846039},{"id":"https://openalex.org/keywords/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.4214937090873718},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.41233766078948975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3542037606239319},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.21708974242210388},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15257424116134644},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11951032280921936},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08445608615875244}],"concepts":[{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.9038301706314087},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.8630663156509399},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7350338101387024},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.658021867275238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5461782217025757},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5283454060554504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5238185524940491},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48994630575180054},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.4777471423149109},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4769381880760193},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.4661634564399719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4364500939846039},{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.4214937090873718},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.41233766078948975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3542037606239319},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.21708974242210388},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15257424116134644},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11951032280921936},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08445608615875244},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1629255.1629294","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963715532","https://openalex.org/W1977387474","https://openalex.org/W2024815544","https://openalex.org/W2027947870","https://openalex.org/W2041771459","https://openalex.org/W2051752778","https://openalex.org/W2056205248","https://openalex.org/W2079967417","https://openalex.org/W2092924973","https://openalex.org/W2099120557","https://openalex.org/W2109493262","https://openalex.org/W2111258217","https://openalex.org/W2129460996","https://openalex.org/W2130470231","https://openalex.org/W2133493855","https://openalex.org/W2137419625","https://openalex.org/W2144083240","https://openalex.org/W2156247583","https://openalex.org/W2188761561","https://openalex.org/W2250107905","https://openalex.org/W2293404936","https://openalex.org/W2294238806","https://openalex.org/W2554051734","https://openalex.org/W2913772345","https://openalex.org/W3000211808","https://openalex.org/W3026972592","https://openalex.org/W4213426196"],"related_works":["https://openalex.org/W1978501764","https://openalex.org/W2371724110","https://openalex.org/W1997141012","https://openalex.org/W2005041861","https://openalex.org/W2053576657","https://openalex.org/W4206423751","https://openalex.org/W1516845492","https://openalex.org/W2059217232","https://openalex.org/W4390436779","https://openalex.org/W2013420653"],"abstract_inverted_index":{"An":[0],"elegant":[1],"and":[2,58,72,100],"efficient":[3],"mesh":[4,14,21,34],"clustering":[5,38],"algorithm":[6,50,63,85,111],"is":[7,64,68,86,103],"presented.":[8],"The":[9,33,48,61],"faces":[10],"of":[11,30,108],"a":[12],"polygonal":[13],"are":[15,112],"divided":[16],"into":[17],"different":[18],"clusters":[19],"for":[20,88],"coarsening":[22,35],"purpose":[23],"by":[24],"approximating":[25,75],"the":[26,31,78,83,89,101,109,116],"Centroidal":[27],"Voronoi":[28],"Tessellation":[29],"mesh.":[32],"process":[36],"after":[37],"can":[39],"be":[40],"done":[41],"in":[42,54,115],"an":[43],"isotropic":[44],"or":[45],"anisotropic":[46],"fashion.":[47],"presented":[49],"improves":[51],"previous":[52],"techniques":[53],"local":[55],"geometric":[56],"operations":[57],"parallel":[59],"updates.":[60],"new":[62,84,110],"very":[65],"simple":[66],"but":[67],"guaranteed":[69],"to":[70],"converge,":[71],"generates":[73],"better":[74],"meshes":[76],"with":[77,94],"same":[79],"computation":[80],"cost.":[81],"Moreover,":[82],"suitable":[87],"variational":[90],"shape":[91],"approximation":[92],"problem":[93],"L2,":[95],"1":[96],"distortion":[97],"error":[98],"metric":[99],"convergence":[102],"guaranteed.":[104],"Examples":[105],"demonstrating":[106],"efficiency":[107],"also":[113],"included":[114],"paper.":[117]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
