{"id":"https://openalex.org/W3186338691","doi":"https://doi.org/10.3233/ica-210661","title":"An improved loop subdivision to coordinate the smoothness and the number of faces via multi-objective optimization","display_name":"An improved loop subdivision to coordinate the smoothness and the number of faces via multi-objective optimization","publication_year":2021,"publication_date":"2021-07-27","ids":{"openalex":"https://openalex.org/W3186338691","doi":"https://doi.org/10.3233/ica-210661","mag":"3186338691"},"language":"en","primary_location":{"id":"doi:10.3233/ica-210661","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ica-210661","pdf_url":null,"source":{"id":"https://openalex.org/S107631664","display_name":"Integrated Computer-Aided Engineering","issn_l":"1069-2509","issn":["1069-2509","1875-8835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrated Computer-Aided Engineering","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/A5104220986","display_name":"Yaqian Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqian Liang","raw_affiliation_strings":["School of Computer Science, Wuhan University, Wuhan, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100660581","display_name":"Fazhi He","orcid":"https://orcid.org/0000-0001-7016-3698"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fazhi He","raw_affiliation_strings":["School of Computer Science, Wuhan University, Wuhan, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048324094","display_name":"Xian\u2010Tao Zeng","orcid":"https://orcid.org/0000-0003-1262-725X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210120234","display_name":"Zhongnan Hospital of Wuhan University","ror":"https://ror.org/01v5mqw79","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210120234"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiantao Zeng","raw_affiliation_strings":["Center for Evidence-Based and Translational Medicine, Zhongnan Hospital of Wuhan University, Wuhan, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Evidence-Based and Translational Medicine, Zhongnan Hospital of Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I4210120234","https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036134594","display_name":"Jinkun Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinkun Luo","raw_affiliation_strings":["School of Computer Science, Wuhan University, Wuhan, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100660581"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":15.1328,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.99675703,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"29","issue":"1","first_page":"23","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","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/T11245","display_name":"Advanced Numerical Analysis Techniques","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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/subdivision","display_name":"Subdivision","score":0.908507227897644},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7872614860534668},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.6199023723602295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6188521981239319},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.6121624708175659},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5750008225440979},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4914942979812622},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39300116896629333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3544771671295166},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.21682468056678772},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08228632807731628}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.908507227897644},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7872614860534668},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.6199023723602295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6188521981239319},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.6121624708175659},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5750008225440979},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4914942979812622},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39300116896629333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3544771671295166},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.21682468056678772},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08228632807731628},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","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:10.3233/ica-210661","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ica-210661","pdf_url":null,"source":{"id":"https://openalex.org/S107631664","display_name":"Integrated Computer-Aided Engineering","issn_l":"1069-2509","issn":["1069-2509","1875-8835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrated Computer-Aided Engineering","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":86,"referenced_works":["https://openalex.org/W126840538","https://openalex.org/W1512805343","https://openalex.org/W1547459232","https://openalex.org/W1564638059","https://openalex.org/W1585939719","https://openalex.org/W1964176984","https://openalex.org/W1975877936","https://openalex.org/W2003335478","https://openalex.org/W2010498540","https://openalex.org/W2024783824","https://openalex.org/W2028576613","https://openalex.org/W2030798836","https://openalex.org/W2032325716","https://openalex.org/W2039715554","https://openalex.org/W2043571611","https://openalex.org/W2050204708","https://openalex.org/W2065661959","https://openalex.org/W2067862350","https://openalex.org/W2086033914","https://openalex.org/W2091620062","https://openalex.org/W2092178231","https://openalex.org/W2102184039","https://openalex.org/W2129335041","https://openalex.org/W2143381319","https://openalex.org/W2160105713","https://openalex.org/W2165152889","https://openalex.org/W2167159964","https://openalex.org/W2241268852","https://openalex.org/W2290883490","https://openalex.org/W2396935036","https://openalex.org/W2522742050","https://openalex.org/W2524822549","https://openalex.org/W2526161603","https://openalex.org/W2553852618","https://openalex.org/W2557235630","https://openalex.org/W2580159549","https://openalex.org/W2583078593","https://openalex.org/W2586411439","https://openalex.org/W2594578457","https://openalex.org/W2606696865","https://openalex.org/W2618038205","https://openalex.org/W2766069146","https://openalex.org/W2767768852","https://openalex.org/W2777118623","https://openalex.org/W2778562319","https://openalex.org/W2798996910","https://openalex.org/W2803276132","https://openalex.org/W2811358548","https://openalex.org/W2902550123","https://openalex.org/W2902583282","https://openalex.org/W2903303642","https://openalex.org/W2916071927","https://openalex.org/W2918082440","https://openalex.org/W2959139853","https://openalex.org/W2959245523","https://openalex.org/W2963422606","https://openalex.org/W2970547908","https://openalex.org/W2981081013","https://openalex.org/W2986232909","https://openalex.org/W2990451522","https://openalex.org/W3002815228","https://openalex.org/W3014055718","https://openalex.org/W3022359978","https://openalex.org/W3028314732","https://openalex.org/W3034192160","https://openalex.org/W3034836960","https://openalex.org/W3037081075","https://openalex.org/W3080279402","https://openalex.org/W3101027576","https://openalex.org/W3101761867","https://openalex.org/W3129589803","https://openalex.org/W3142679849","https://openalex.org/W3172155837","https://openalex.org/W3202195948","https://openalex.org/W6657590551","https://openalex.org/W6665188619","https://openalex.org/W6671962120","https://openalex.org/W6684212943","https://openalex.org/W6684547363","https://openalex.org/W6690122045","https://openalex.org/W6745866550","https://openalex.org/W6746016797","https://openalex.org/W6750574977","https://openalex.org/W6766320505","https://openalex.org/W6785793750","https://openalex.org/W6837112886"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2377450293","https://openalex.org/W2097422415","https://openalex.org/W4386160109","https://openalex.org/W2382908174","https://openalex.org/W2182963470","https://openalex.org/W2380333825"],"abstract_inverted_index":{"3D":[0],"mesh":[1,77,210],"subdivision":[2,36,78,109,124,211],"is":[3,136,192],"essential":[4],"for":[5],"geometry":[6],"modeling":[7],"of":[8,19,34,44,57,69,87,115,147,157,164],"complex":[9],"surfaces,":[10],"which":[11,175],"benefits":[12,39],"many":[13],"important":[14],"applications":[15],"in":[16,26,89,106,122,174,213],"the":[17,27,32,35,38,42,50,54,61,64,67,82,85,113,120,129,140,144,148,155,159,162,176,181,185,197,204],"fields":[18],"multimedia":[20],"such":[21],"as":[22,152,169],"computer":[23],"animation.":[24],"However,":[25],"ordinary":[28],"adaptive":[29,108],"subdivision,":[30],"with":[31,49],"deepening":[33],"level,":[37],"gained":[40],"from":[41],"improvement":[43],"smoothness":[45,65,83,121,160],"cannot":[46],"keep":[47],"pace":[48],"cost":[51],"caused":[52],"by":[53,142],"incremental":[55],"number":[56,68,86,114,163],"faces.":[58],"To":[59],"mitigate":[60],"gap":[62],"between":[63],"and":[66,84,161],"faces,":[70],"this":[71,94],"paper":[72,95],"devises":[73],"a":[74,90,97,102,132,153,170],"novel":[75],"improved":[76,193],"method":[79,135,206],"to":[80,111,127,138,194],"coordinate":[81],"faces":[88,117,146,165],"harmonious":[91],"way.":[92],"First,":[93],"introduces":[96],"variable":[98],"threshold,":[99],"rather":[100],"than":[101],"constant":[103],"threshold":[104,178],"used":[105],"existing":[107,209],"methods,":[110],"reduce":[112],"redundant":[116],"while":[118],"keeping":[119],"each":[123],"iteration.":[125],"Second,":[126],"achieve":[128],"above":[130],"goal,":[131],"new":[133],"crack-solving":[134],"developed":[137],"remove":[139],"cracks":[141],"refining":[143],"adjacent":[145],"subdivided":[149],"area.":[150],"Third,":[151],"result,":[154],"problem":[156],"coordinating":[158],"can":[166],"be":[167],"formulated":[168],"multi-objective":[171],"optimization":[172],"problem,":[173],"possible":[177],"sequences":[179],"constitute":[180],"solution":[182],"space.":[183],"Finally,":[184],"Non-dominated":[186],"sorting":[187],"genetic":[188],"algorithm":[189],"II":[190],"(NSGA-II)":[191],"efficiently":[195],"search":[196],"Pareto":[198],"frontier.":[199],"Extensive":[200],"experiments":[201],"demonstrate":[202],"that":[203],"proposed":[205],"consistently":[207],"outperforms":[208],"methods":[212],"different":[214],"settings.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":32},{"year":2022,"cited_by_count":35},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
