{"id":"https://openalex.org/W2133123311","doi":"https://doi.org/10.1145/1141911.1142003","title":"Subspace gradient domain mesh deformation","display_name":"Subspace gradient domain mesh deformation","publication_year":2006,"publication_date":"2006-07-01","ids":{"openalex":"https://openalex.org/W2133123311","doi":"https://doi.org/10.1145/1141911.1142003","mag":"2133123311"},"language":"en","primary_location":{"id":"doi:10.1145/1141911.1142003","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141911.1142003","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/A5101595129","display_name":"Jin Huang","orcid":"https://orcid.org/0000-0003-4048-521X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Huang","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058278009","display_name":"Xiaohan Shi","orcid":"https://orcid.org/0000-0003-3775-3076"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohan Shi","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"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":"company","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","Microsoft Research Asia,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","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":"company","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","Microsoft Research Asia,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100669427","display_name":"Li\u2010Yi Wei","orcid":"https://orcid.org/0000-0002-1076-6339"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Yi Wei","raw_affiliation_strings":["Microsoft Research Asia","Microsoft Research Asia,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102005063","display_name":"Shang\u2010Hua Teng","orcid":"https://orcid.org/0000-0001-5011-4514"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shang-Hua Teng","raw_affiliation_strings":["Boston University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"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":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hujun Bao","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"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":"company","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","Microsoft Research Asia,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia","institution_ids":["https://openalex.org/I4210113369"]},{"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":"https://orcid.org/0000-0002-4684-911X"},"institutions":[{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"company","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","Microsoft Research Asia,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia,","institution_ids":["https://openalex.org/I4210113369"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":45.0428,"has_fulltext":false,"cited_by_count":264,"citation_normalized_percentile":{"value":0.99946163,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"25","issue":"3","first_page":"1126","last_page":"1134"},"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/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/T10996","display_name":"Computational Geometry and Mesh Generation","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"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.609495997428894},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6046501398086548},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5535288453102112},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5090286731719971},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4918091595172882},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4914926290512085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38499072194099426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3680298924446106},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1870279610157013},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.07663801312446594}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.609495997428894},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6046501398086548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5535288453102112},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5090286731719971},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4918091595172882},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4914926290512085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38499072194099426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3680298924446106},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1870279610157013},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.07663801312446594},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/1141911.1142003","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141911.1142003","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:CiteSeerX.psu:10.1.1.187.8830","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.8830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/en-us/people/bainguo/p1126-huang.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.215.6059","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.6059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cad.zju.edu.cn/home/xgliu/papers/Sig06-Subspace.pdf","raw_type":"text"},{"id":"pmh:oai:hub.hku.hk:10722/141802","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/141802","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference_Paper"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-157023","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-157023","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1521229570","https://openalex.org/W1526406903","https://openalex.org/W1548810020","https://openalex.org/W1602041864","https://openalex.org/W1976731160","https://openalex.org/W1993962870","https://openalex.org/W1994380461","https://openalex.org/W1995685119","https://openalex.org/W1996012503","https://openalex.org/W2000214666","https://openalex.org/W2009510279","https://openalex.org/W2016772237","https://openalex.org/W2022408614","https://openalex.org/W2038110879","https://openalex.org/W2056316267","https://openalex.org/W2064198982","https://openalex.org/W2074981114","https://openalex.org/W2075605912","https://openalex.org/W2088875936","https://openalex.org/W2096619076","https://openalex.org/W2098449997","https://openalex.org/W2103386965","https://openalex.org/W2133314194","https://openalex.org/W2133607347","https://openalex.org/W2135437736","https://openalex.org/W2142326458","https://openalex.org/W2150874139","https://openalex.org/W2157079418","https://openalex.org/W2158778494","https://openalex.org/W2160555573","https://openalex.org/W2160692760","https://openalex.org/W2161578027","https://openalex.org/W2169776045","https://openalex.org/W2185569345","https://openalex.org/W2237825899","https://openalex.org/W2611267947","https://openalex.org/W2743351726","https://openalex.org/W4236288244"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2087496541","https://openalex.org/W2108615321","https://openalex.org/W1984758362","https://openalex.org/W2085564391","https://openalex.org/W2042049060","https://openalex.org/W2992936613"],"abstract_inverted_index":{"In":[0],"this":[1,107,175],"paper":[2],"we":[3,38,84,125],"present":[4,19],"a":[5,20,28,89,127,132,201],"general":[6],"framework":[7],"for":[8,45,52,66],"performing":[9],"constrained":[10,204],"mesh":[11,71,86,135,139,150,171],"deformation":[12,87,143,194,198,205],"tasks":[13],"with":[14,27,200],"gradient":[15,21],"domain":[16,22],"techniques.":[17],"We":[18,191],"technique":[23,129,199],"that":[24,130],"works":[25],"well":[26],"wide":[29],"variety":[30,202],"of":[31,56,59,69,117,203],"linear":[32],"and":[33,62,94,114,140,145,184,186,196],"nonlinear":[34,42,49,82,90,108],"constraints.":[35],"The":[36,102,157],"constraints":[37,146,195],"introduce":[39],"include":[40],"the":[41,48,54,63,70,96,111,118,137,142,148,153,165,169],"volume":[43,46],"constraint":[44,51,65],"preservation,":[47],"skeleton":[50],"maintaining":[53],"rigidity":[55],"limb":[57],"segments":[58],"articulated":[60],"figures,":[61],"projection":[64],"easy":[67],"manipulation":[68],"without":[72],"having":[73],"to":[74],"frequently":[75],"switch":[76],"between":[77],"multiple":[78],"viewpoints.":[79],"To":[80,121],"handle":[81],"constraints,":[83],"cast":[85],"as":[88],"energy":[91,144,158,178],"minimization":[92,159,179],"problem":[93,97,109],"solve":[95],"using":[98,152],"an":[99],"iterative":[100,119],"algorithm.":[101],"main":[103],"challenges":[104],"in":[105,164,174],"solving":[106],"are":[110],"slow":[112],"convergence":[113],"numerical":[115],"instability":[116],"solver.":[120],"address":[122],"these":[123],"issues,":[124],"develop":[126],"subspace":[128,166,197],"builds":[131],"coarse":[133],"control":[134,149,170],"around":[136],"original":[138],"projects":[141],"onto":[147],"vertices":[151],"mean":[154],"value":[155],"interpolation.":[156],"is":[160,181],"then":[161],"carried":[162],"out":[163],"formed":[167],"by":[168],"vertices.":[172],"Running":[173],"subspace,":[176],"our":[177,193],"solver":[180],"both":[182],"fast":[183],"stable":[185],"it":[187],"provides":[188],"interactive":[189],"responses.":[190],"demonstrate":[192],"examples.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":19}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}