{"id":"https://openalex.org/W1981507585","doi":"https://doi.org/10.1007/s00371-006-0058-7","title":"Geometrically based potential energy for simulating deformable objects","display_name":"Geometrically based potential energy for simulating deformable objects","publication_year":2006,"publication_date":"2006-08-24","ids":{"openalex":"https://openalex.org/W1981507585","doi":"https://doi.org/10.1007/s00371-006-0058-7","mag":"1981507585"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-006-0058-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-006-0058-7","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China","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":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China","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/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinguo Liu","raw_affiliation_strings":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China","institution_ids":["https://openalex.org/I76130692"]}]},{"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/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Kun Zhou","raw_affiliation_strings":["Microsoft Research Asia, Beijing, P.R. China","Microsoft Research Asia, 310027, Beijing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, Beijing, P.R. China","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia, 310027, Beijing, P.R. China","institution_ids":["https://openalex.org/I1290206253"]}]},{"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/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Baining Guo","raw_affiliation_strings":["Microsoft Research Asia, Beijing, P.R. China","Microsoft Research Asia, 310027, Beijing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, Beijing, P.R. China","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia, 310027, Beijing, P.R. China","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","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":true,"raw_author_name":"Hujun Bao","raw_affiliation_strings":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, 310027 Hangzhou, P.R. China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5059021869","https://openalex.org/A5110708902"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.3991,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91251623,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"9-11","first_page":"740","last_page":"748"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6769415736198425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6211690902709961},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.5670124888420105},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.5089366436004639},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4834216833114624},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.457400381565094},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.453691303730011},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42484188079833984},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4189218580722809},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.37454718351364136},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3396558463573456},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22642481327056885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20155370235443115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18386951088905334},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13313612341880798}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6769415736198425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6211690902709961},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.5670124888420105},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.5089366436004639},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4834216833114624},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.457400381565094},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.453691303730011},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42484188079833984},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4189218580722809},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.37454718351364136},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3396558463573456},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22642481327056885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20155370235443115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18386951088905334},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13313612341880798},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00371-006-0058-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-006-0058-7","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.700","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.700","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/users/kunzhou/publications/GeomEnergy.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W32184824","https://openalex.org/W1521229570","https://openalex.org/W1526406903","https://openalex.org/W1561021726","https://openalex.org/W1646273348","https://openalex.org/W1969783366","https://openalex.org/W1985787666","https://openalex.org/W2000214666","https://openalex.org/W2005961953","https://openalex.org/W2033878145","https://openalex.org/W2040444210","https://openalex.org/W2063189491","https://openalex.org/W2075605912","https://openalex.org/W2094014535","https://openalex.org/W2116287770","https://openalex.org/W2123248055","https://openalex.org/W2124442589","https://openalex.org/W2133123311","https://openalex.org/W2141654056","https://openalex.org/W2142326458","https://openalex.org/W2144909146","https://openalex.org/W2145804351","https://openalex.org/W2158778494","https://openalex.org/W2160578123","https://openalex.org/W2161578027","https://openalex.org/W2164361535","https://openalex.org/W2164888711","https://openalex.org/W2165939338","https://openalex.org/W2169776045","https://openalex.org/W2171186721","https://openalex.org/W2233768585","https://openalex.org/W2235036220","https://openalex.org/W2248463013","https://openalex.org/W2249925049","https://openalex.org/W3015303229","https://openalex.org/W3144205917","https://openalex.org/W4241597717","https://openalex.org/W4242405509","https://openalex.org/W4248675629"],"related_works":["https://openalex.org/W239003920","https://openalex.org/W219535586","https://openalex.org/W2068161355","https://openalex.org/W1955447130","https://openalex.org/W2074140548","https://openalex.org/W2383424904","https://openalex.org/W1548081788","https://openalex.org/W2056231124","https://openalex.org/W4294596866","https://openalex.org/W1731356711"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
