{"id":"https://openalex.org/W2142326458","doi":"https://doi.org/10.1145/1073204.1073219","title":"Large mesh deformation using the volumetric graph Laplacian","display_name":"Large mesh deformation using the volumetric graph Laplacian","publication_year":2005,"publication_date":"2005-07-01","ids":{"openalex":"https://openalex.org/W2142326458","doi":"https://doi.org/10.1145/1073204.1073219","mag":"2142326458"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073204.1073219","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.cs.jhu.edu/~misha/Fall07/Papers/Zhou05.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027671723","display_name":"Kun Zhou","orcid":"https://orcid.org/0000-0003-4243-6112"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Zhou","raw_affiliation_strings":["Microsoft Research Asia,"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028877667","display_name":"Jin Huang","orcid":"https://orcid.org/0000-0002-9804-0195"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"funder","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Huang","raw_affiliation_strings":["Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105689838","display_name":"John Snyder","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"funder","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Snyder","raw_affiliation_strings":["Microsoft research#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft research#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110708902","display_name":"Xinguo Liu","orcid":"https://orcid.org/0000-0002-2084-4310"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinguo Liu","raw_affiliation_strings":["Microsoft Research Asia,"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059021869","display_name":"Hujun Bao","orcid":"https://orcid.org/0000-0002-2662-0334"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"funder","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hujun Bao","raw_affiliation_strings":["Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101666011","display_name":"Baining Guo","orcid":"https://orcid.org/0000-0001-8349-8868"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baining Guo","raw_affiliation_strings":["Microsoft Research Asia,"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061000201","display_name":"Heung\u2010Yeung Shum","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Heung-Yeung Shum","raw_affiliation_strings":["Microsoft Research Asia,"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":49.393,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":310,"citation_normalized_percentile":{"value":0.981366,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"24","issue":"3","first_page":"496","last_page":"503"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9999,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9999,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9999,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997,"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":0.66517246},{"id":"https://openalex.org/keywords/t-vertices","display_name":"T-vertices","score":0.44646597}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.73073316},{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.66517246},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.58889097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.56908596},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5670593},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.52325237},{"id":"https://openalex.org/C160403270","wikidata":"https://www.wikidata.org/wiki/Q7667943","display_name":"T-vertices","level":4,"score":0.44646597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44348696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3646737},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.32663444},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23687187},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.20543084},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11895251},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11166239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073204.1073219","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.6559","pdf_url":"http://www.cs.jhu.edu/~misha/Fall07/Papers/Zhou05.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.6559","pdf_url":"http://www.cs.jhu.edu/~misha/Fall07/Papers/Zhou05.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.4,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":48,"referenced_works":["https://openalex.org/W1493753901","https://openalex.org/W1521229570","https://openalex.org/W1526406903","https://openalex.org/W1578099820","https://openalex.org/W1599984094","https://openalex.org/W1602041864","https://openalex.org/W1626653188","https://openalex.org/W1974879594","https://openalex.org/W1976731160","https://openalex.org/W1995685119","https://openalex.org/W2000214666","https://openalex.org/W2007471931","https://openalex.org/W2009510279","https://openalex.org/W2022408614","https://openalex.org/W2026687385","https://openalex.org/W2038110879","https://openalex.org/W2048863656","https://openalex.org/W2074981114","https://openalex.org/W2076201724","https://openalex.org/W2079017595","https://openalex.org/W2088875936","https://openalex.org/W2094755539","https://openalex.org/W2096619076","https://openalex.org/W2098449997","https://openalex.org/W2101730225","https://openalex.org/W2107030854","https://openalex.org/W2112325291","https://openalex.org/W2113275166","https://openalex.org/W2122007052","https://openalex.org/W2123334564","https://openalex.org/W2133314194","https://openalex.org/W2133497849","https://openalex.org/W2135323728","https://openalex.org/W2141962420","https://openalex.org/W2158778494","https://openalex.org/W2161578027","https://openalex.org/W2164903251","https://openalex.org/W2169776045","https://openalex.org/W2169945175","https://openalex.org/W2237825899","https://openalex.org/W2247700144","https://openalex.org/W2295216480","https://openalex.org/W2295302168","https://openalex.org/W2912841022","https://openalex.org/W2997385702","https://openalex.org/W4205191326","https://openalex.org/W4230962939","https://openalex.org/W794529326"],"related_works":["https://openalex.org/W3193268133","https://openalex.org/W2897665765","https://openalex.org/W2369765453","https://openalex.org/W2134516207","https://openalex.org/W2094342549","https://openalex.org/W2081198532","https://openalex.org/W2022785616","https://openalex.org/W2011426747","https://openalex.org/W1975406469","https://openalex.org/W1969457765"],"abstract_inverted_index":{"We":[0,16,87,192],"present":[1],"a":[2,19,33,78,94,110,119,149,157],"novel":[3,173],"technique":[4,155],"for":[5],"large":[6],"deformations":[7,168,184],"on":[8],"3D":[9,190],"meshes":[10],"using":[11],"the":[12,22,25,37,48,57,63,66,91,98,126],"volumetric":[13,54,73,79],"graph":[14,20,29,64,92],"Laplacian.":[15],"first":[17],"construct":[18],"representing":[21],"volume":[23],"inside":[24],"input":[26,38],"mesh.":[27,129],"The":[28],"need":[30],"not":[31],"form":[32],"solid":[34],"meshing":[35],"of":[36,68,175,185],"mesh's":[39],"interior;":[40],"its":[41,69],"edges":[42],"simply":[43],"connect":[44],"nearby":[45],"points":[46,93],"in":[47,62,85,90,118,156],"volume.":[49,86],"This":[50],"graph's":[51],"Laplacian":[52],"encodes":[53],"details":[55,74,117,141],"as":[56],"difference":[58],"between":[59],"each":[60],"point":[61],"and":[65,144,182],"average":[67],"neighbors.":[70],"Preserving":[71],"these":[72],"during":[75],"deformation":[76,160],"imposes":[77],"constraint":[80],"that":[81],"prevents":[82],"unnatural":[83],"changes":[84],"also":[88,132],"include":[89],"short":[95],"distance":[96],"outside":[97],"mesh":[99],"to":[100,165,179,189],"avoid":[101],"local":[102],"self-intersections.":[103],"Volumetric":[104],"detail":[105],"preservation":[106],"is":[107,178],"represented":[108],"by":[109,147],"quadric":[111],"energy":[112],"function.":[113],"Minimizing":[114],"it":[115],"preserves":[116],"least-squares":[120],"sense,":[121],"distributing":[122],"error":[123],"uniformly":[124],"over":[125],"whole":[127],"deformed":[128],"It":[130],"can":[131],"be":[133],"combined":[134],"with":[135,169,197],"conventional":[136],"constraints":[137],"involving":[138],"surface":[139],"positions,":[140],"or":[142],"smoothness,":[143],"efficiently":[145],"minimized":[146],"solving":[148],"sparse":[150],"linear":[151],"system.We":[152],"apply":[153,180],"this":[154,176],"2D":[158,186],"curve-based":[159],"system":[161,177],"allowing":[162],"novice":[163],"users":[164],"create":[166],"pleasing":[167],"little":[170],"effort.":[171],"A":[172],"application":[174],"nonrigid":[181],"exaggerated":[183],"cartoon":[187],"characters":[188],"meshes.":[191],"demonstrate":[193],"our":[194],"system's":[195],"potential":[196],"several":[198],"examples.":[199]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2142326458","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":21}],"updated_date":"2025-03-16T06:18:46.590289","created_date":"2016-06-24"}