{"id":"https://openalex.org/W4200030369","doi":"https://doi.org/10.1145/3478513.3480505","title":"Interactive cutting and tearing in projective dynamics with progressive cholesky updates","display_name":"Interactive cutting and tearing in projective dynamics with progressive cholesky updates","publication_year":2021,"publication_date":"2021-12-01","ids":{"openalex":"https://openalex.org/W4200030369","doi":"https://doi.org/10.1145/3478513.3480505"},"language":"en","primary_location":{"id":"doi:10.1145/3478513.3480505","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3478513.3480505","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/A5100337123","display_name":"Jing Li","orcid":"https://orcid.org/0000-0003-4307-4424"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jing Li","raw_affiliation_strings":["University of Utah"],"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381090","display_name":"Tiantian Liu","orcid":"https://orcid.org/0000-0002-9664-8391"},"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":"Tiantian Liu","raw_affiliation_strings":["Microsoft Research Asia, China"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, China","institution_ids":["https://openalex.org/I4210113369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028216970","display_name":"Ladislav Kavan","orcid":"https://orcid.org/0000-0003-3342-4603"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ladislav Kavan","raw_affiliation_strings":["University of Utah"],"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010714340","display_name":"Baoquan Chen","orcid":"https://orcid.org/0000-0003-4702-036X"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoquan Chen","raw_affiliation_strings":["Peking University, China"],"affiliations":[{"raw_affiliation_string":"Peking University, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100337123"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":3.4442,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.94630746,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"40","issue":"6","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.9940999746322632,"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.87220698595047},{"id":"https://openalex.org/keywords/tearing","display_name":"Tearing","score":0.7017974853515625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6769974827766418},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.6095545291900635},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5328773856163025},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.5223849415779114},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5202720761299133},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.5075210332870483},{"id":"https://openalex.org/keywords/scratch","display_name":"Scratch","score":0.4696706235408783},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.45893025398254395},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.429575651884079},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4286717474460602},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.416300892829895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4050062894821167},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3926345109939575},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3531678318977356},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32491132616996765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1861066222190857},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.18008974194526672},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09700995683670044},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.09491771459579468},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0860666036605835},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07198452949523926}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.87220698595047},{"id":"https://openalex.org/C2776097996","wikidata":"https://www.wikidata.org/wiki/Q2219270","display_name":"Tearing","level":2,"score":0.7017974853515625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6769974827766418},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.6095545291900635},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5328773856163025},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.5223849415779114},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5202720761299133},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.5075210332870483},{"id":"https://openalex.org/C2781235140","wikidata":"https://www.wikidata.org/wiki/Q275131","display_name":"Scratch","level":2,"score":0.4696706235408783},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.45893025398254395},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.429575651884079},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4286717474460602},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.416300892829895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4050062894821167},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3926345109939575},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3531678318977356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32491132616996765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1861066222190857},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.18008974194526672},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09700995683670044},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.09491771459579468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0860666036605835},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07198452949523926},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3478513.3480505","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3478513.3480505","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5099999904632568}],"awards":[{"id":"https://openalex.org/G1787542277","display_name":null,"funder_award_id":"2018YFB1403900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1594246900","https://openalex.org/W1941825079","https://openalex.org/W1982355466","https://openalex.org/W2024243735","https://openalex.org/W2024838691","https://openalex.org/W2036388470","https://openalex.org/W2036438040","https://openalex.org/W2042297594","https://openalex.org/W2047355785","https://openalex.org/W2050448951","https://openalex.org/W2089024363","https://openalex.org/W2101501830","https://openalex.org/W2126547315","https://openalex.org/W2280610531","https://openalex.org/W2397636522","https://openalex.org/W2510393759","https://openalex.org/W2552810306","https://openalex.org/W2609234538","https://openalex.org/W2738259880","https://openalex.org/W2810015627","https://openalex.org/W2903245103","https://openalex.org/W2913772345","https://openalex.org/W2914191128","https://openalex.org/W2945881335","https://openalex.org/W2964315391","https://openalex.org/W2982270720","https://openalex.org/W2983534281","https://openalex.org/W3003409178","https://openalex.org/W3010942082","https://openalex.org/W3043862639","https://openalex.org/W3048458458","https://openalex.org/W3106973946","https://openalex.org/W3138143451","https://openalex.org/W4226300883"],"related_works":["https://openalex.org/W2039814159","https://openalex.org/W898189783","https://openalex.org/W2049943687","https://openalex.org/W2381435995","https://openalex.org/W2104481679","https://openalex.org/W2041033288","https://openalex.org/W3022256543","https://openalex.org/W3046276560","https://openalex.org/W2028693659","https://openalex.org/W1594594900"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,7,73],"new":[3,121],"algorithm":[4],"for":[5],"updating":[6],"Cholesky":[8,56],"factorization":[9],"which":[10,43],"speeds":[11],"up":[12],"Projective":[13,28],"Dynamics":[14],"simulations":[15,88],"with":[16],"topological":[17,32,84],"changes.":[18],"Our":[19,51,93,123,135],"approach":[20,124],"addresses":[21],"an":[22],"important":[23],"limitation":[24],"of":[25,58,67,76,82,113,120],"the":[26,55,59,63,83,98,114,118],"original":[27],"Dynamics,":[29],"i.e.,":[30],"that":[31,138],"changes":[33,85],"such":[34],"as":[35],"cutting,":[36,148],"fracturing,":[37],"or":[38],"tearing":[39],"require":[40],"full":[41],"refactorization":[42],"compromises":[44],"computation":[45],"speed,":[46],"especially":[47],"in":[48,62,86,103,144],"real-time":[49],"applications.":[50],"method":[52,94,140],"progressively":[53],"modifies":[54],"factor":[57],"system":[60,115],"matrix":[61,116],"global":[64],"step":[65],"instead":[66],"computing":[68],"it":[69],"from":[70],"scratch.":[71],"Only":[72],"small":[74],"amount":[75],"overhead":[77],"is":[78,95],"added":[79],"since":[80],"most":[81],"typical":[87],"are":[89],"continuous":[90],"and":[91,100,117,131,150],"gradual.":[92],"based":[96],"on":[97],"update":[99],"downdate":[101],"routine":[102],"CHOLMOD,":[104],"but":[105],"unlike":[106],"recent":[107],"related":[108],"work,":[109],"supports":[110],"dynamic":[111],"sizes":[112],"addition":[119],"vertices.":[122],"allows":[125],"us":[126],"to":[127],"introduce":[128],"clean":[129],"cuts":[130],"perform":[132],"interactive":[133],"remeshing.":[134],"experiments":[136],"show":[137],"our":[139],"works":[141],"particularly":[142],"well":[143],"simulation":[145],"scenarios":[146],"involving":[147],"tearing,":[149],"local":[151],"remeshing":[152],"operations.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}