{"id":"https://openalex.org/W2137390095","doi":"https://doi.org/10.1145/2167076.2167079","title":"Variational mesh decomposition","display_name":"Variational mesh decomposition","publication_year":2012,"publication_date":"2012-05-31","ids":{"openalex":"https://openalex.org/W2137390095","doi":"https://doi.org/10.1145/2167076.2167079","mag":"2137390095"},"language":"en","primary_location":{"id":"doi:10.1145/2167076.2167079","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2167076.2167079","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","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/A5101904821","display_name":"Juyong Zhang","orcid":"https://orcid.org/0000-0002-1805-1426"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Juyong Zhang","raw_affiliation_strings":["Nanyang Technological University, Singapore","Nanyang Technological University (Singapore)"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University (Singapore)","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039953512","display_name":"Jianmin Zheng","orcid":"https://orcid.org/0000-0002-5062-6226"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jianmin Zheng","raw_affiliation_strings":["Nanyang Technological University, Singapore","Nanyang Technological University (Singapore)"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University (Singapore)","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010997999","display_name":"Chunlin Wu","orcid":"https://orcid.org/0000-0003-1932-7997"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chunlin Wu","raw_affiliation_strings":["National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635804","display_name":"Jianfei Cai","orcid":"https://orcid.org/0000-0002-9444-3763"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jianfei Cai","raw_affiliation_strings":["Nanyang Technological University, Singapore","Nanyang Technological University (Singapore)"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University (Singapore)","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101904821"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":9.2577,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.98564619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"31","issue":"3","first_page":"1","last_page":"14"},"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":0.9995999932289124,"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":0.9973999857902527,"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/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.7018381953239441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5932148694992065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5182909369468689},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5151111483573914},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5022866725921631},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.49133220314979553},{"id":"https://openalex.org/keywords/t-vertices","display_name":"T-vertices","score":0.4798588156700134},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44911161065101624},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4434248208999634},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.433278352022171},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36995750665664673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3495112657546997},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.27531349658966064},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19718709588050842},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1373528242111206},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08040094375610352}],"concepts":[{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.7018381953239441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5932148694992065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5182909369468689},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5151111483573914},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5022866725921631},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.49133220314979553},{"id":"https://openalex.org/C160403270","wikidata":"https://www.wikidata.org/wiki/Q7667943","display_name":"T-vertices","level":4,"score":0.4798588156700134},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44911161065101624},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4434248208999634},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.433278352022171},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36995750665664673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3495112657546997},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.27531349658966064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19718709588050842},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1373528242111206},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08040094375610352},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2167076.2167079","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2167076.2167079","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/98038","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/98038","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2929369101","display_name":null,"funder_award_id":"MOE2008-T2-1-075","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W984102887","https://openalex.org/W1501418839","https://openalex.org/W1590889181","https://openalex.org/W1809711019","https://openalex.org/W1976638067","https://openalex.org/W1989540182","https://openalex.org/W2000400199","https://openalex.org/W2011532560","https://openalex.org/W2021342175","https://openalex.org/W2023808821","https://openalex.org/W2038254603","https://openalex.org/W2038495454","https://openalex.org/W2049308602","https://openalex.org/W2050204708","https://openalex.org/W2064058834","https://openalex.org/W2064281960","https://openalex.org/W2076374635","https://openalex.org/W2077678691","https://openalex.org/W2081985785","https://openalex.org/W2091715846","https://openalex.org/W2100078691","https://openalex.org/W2100900426","https://openalex.org/W2106723645","https://openalex.org/W2106874266","https://openalex.org/W2114487471","https://openalex.org/W2121717885","https://openalex.org/W2125531986","https://openalex.org/W2125637308","https://openalex.org/W2132914434","https://openalex.org/W2137419625","https://openalex.org/W2140843581","https://openalex.org/W2152322845","https://openalex.org/W2155697938","https://openalex.org/W2160994953","https://openalex.org/W2161513022","https://openalex.org/W2165734775","https://openalex.org/W2165874743","https://openalex.org/W2167380492","https://openalex.org/W2250107905","https://openalex.org/W2537206334","https://openalex.org/W2544610656","https://openalex.org/W2999893964","https://openalex.org/W3000211808","https://openalex.org/W4249667877","https://openalex.org/W4252351258"],"related_works":["https://openalex.org/W1793332957","https://openalex.org/W2075212215","https://openalex.org/W111258859","https://openalex.org/W2021240955","https://openalex.org/W2486156819","https://openalex.org/W1596944841","https://openalex.org/W3189147360","https://openalex.org/W1981839554","https://openalex.org/W2009486708","https://openalex.org/W2360568116"],"abstract_inverted_index":{"The":[0,40,109],"problem":[1,121],"of":[2,13,38,62,85,140],"decomposing":[3],"a":[4,23,32,35,51,58,63,79,91,119,126,160],"3D":[5,47],"mesh":[6,25,33,144,161],"into":[7,34,162,175],"meaningful":[8,163],"segments":[9,141],"(or":[10],"parts)":[11],"is":[12,111,123,133,168],"great":[14],"practical":[15],"importance":[16],"in":[17,105],"computer":[18],"graphics.":[19],"This":[20],"article":[21],"presents":[22],"variational":[24,177],"decomposition":[26],"algorithm":[27,41,156,191],"that":[28,49,122,142,188],"can":[29,157],"efficiently":[30],"partition":[31],"prescribed":[36],"number":[37,139],"segments.":[39,89],"extends":[42],"the":[43,55,72,83,86,115,138,143,154,172,176,181,189,199],"Mumford-Shah":[44,116],"model":[45,117,178],"to":[46,71,136,179],"meshes":[48],"contains":[50],"data":[52],"term":[53,81],"measuring":[54,82],"variation":[56],"within":[57],"segment":[59,159],"using":[60],"eigenvectors":[61],"dual":[64],"Laplacian":[65],"matrix":[66],"whose":[67],"weights":[68],"are":[69,100],"related":[70],"dihedral":[73],"angle":[74],"between":[75,88],"adjacent":[76],"triangles":[77],"and":[78,96],"regularization":[80],"length":[84],"boundary":[87,97],"Such":[90],"formulation":[92],"simultaneously":[93],"handles":[94],"segmentation":[95,194],"smoothing,":[98],"which":[99],"usually":[101],"two":[102],"separate":[103],"processes":[104],"most":[106],"previous":[107],"work.":[108],"efficiency":[110],"achieved":[112],"by":[113,125,170],"solving":[114],"through":[118],"saddle-point":[120],"solved":[124],"fast":[127],"primal-dual":[128],"method.":[129],"A":[130],"preprocess":[131],"step":[132],"also":[134],"proposed":[135,155,190],"determine":[137],"should":[145],"be":[146],"decomposed":[147],"into.":[148],"By":[149],"incorporating":[150,171],"this":[151],"preprocessing":[152],"step,":[153],"automatically":[158],"parts.":[164],"Furthermore,":[165],"user":[166],"interaction":[167],"allowed":[169],"user's":[173,182],"inputs":[174],"reflect":[180],"special":[183],"intention.":[184],"Experimental":[185],"results":[186],"show":[187],"outperforms":[192],"competitive":[193],"methods":[195],"when":[196],"evaluated":[197],"on":[198],"Princeton":[200],"Segmentation":[201],"Benchmark.":[202]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}