{"id":"https://openalex.org/W7225610416","doi":"https://doi.org/10.1145/3842507","title":"Vibrational Affine Body Dynamics","display_name":"Vibrational Affine Body Dynamics","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225610416","doi":"https://doi.org/10.1145/3842507"},"language":"en","primary_location":{"id":"doi:10.1145/3842507","doi":"https://doi.org/10.1145/3842507","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3842507","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,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3842507","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114457332","display_name":"Haoyang Shi","orcid":"https://orcid.org/0000-0002-6917-5007","observed_orcids":["https://orcid.org/0000-0002-6917-5007"]},"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":"Haoyang Shi","raw_affiliation_strings":["University of Utah, Salt Lake City, USA"],"raw_orcid":"https://orcid.org/0000-0002-6917-5007","affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057059576","display_name":"Yumeng He","orcid":"https://orcid.org/0009-0008-4291-6179","observed_orcids":["https://orcid.org/0009-0008-4291-6179"]},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yumeng He","raw_affiliation_strings":["University of Southern California, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0009-0008-4291-6179","affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020591092","display_name":"Sheldon Andrews","orcid":"https://orcid.org/0000-0001-9776-117X","observed_orcids":["https://orcid.org/0000-0001-9776-117X"]},"institutions":[{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sheldon Andrews","raw_affiliation_strings":["\u00c9cole de technologie sup\u00e9rieure (\u00c9TS), Montreal, Canada"],"raw_orcid":"https://orcid.org/0000-0001-9776-117X","affiliations":[{"raw_affiliation_string":"\u00c9cole de technologie sup\u00e9rieure (\u00c9TS), Montreal, Canada","institution_ids":["https://openalex.org/I9736820"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068163735","display_name":"Chenfanfu Jiang","orcid":"https://orcid.org/0000-0003-3506-0583","observed_orcids":["https://orcid.org/0000-0003-3506-0583"]},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenfanfu Jiang","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-3506-0583","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100641551","display_name":"Kui Wu","orcid":"https://orcid.org/0000-0003-3326-7943","observed_orcids":["https://orcid.org/0000-0003-3326-7943"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kui Wu","raw_affiliation_strings":["LightSpeed Studios, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-3326-7943","affiliations":[{"raw_affiliation_string":"LightSpeed Studios, Los Angeles, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067760326","display_name":"Yin Yang","orcid":"https://orcid.org/0000-0001-7645-5931","observed_orcids":["https://orcid.org/0000-0001-7645-5931","https://orcid.org/0000-0002-9966-248X","https://orcid.org/0009-0005-0547-0321"]},"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":"Yin Yang","raw_affiliation_strings":["University of Utah, Salt Lake City, USA"],"raw_orcid":"https://orcid.org/0000-0001-7645-5931","affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"6","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9672999978065491,"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":0.9672999978065491,"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":0.016300000250339508,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.004100000020116568,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/rigid-body-dynamics","display_name":"rigid body dynamics","score":0.8220000267028809},{"id":"https://openalex.org/keywords/high-frequency-vibration","display_name":"high-frequency vibration","score":0.6880000233650208},{"id":"https://openalex.org/keywords/collision-handling","display_name":"collision handling","score":0.574999988079071},{"id":"https://openalex.org/keywords/medial-axis-transform","display_name":"medial axis transform","score":0.7929999828338623},{"id":"https://openalex.org/keywords/collision-detection","display_name":"collision detection","score":0.6359999775886536},{"id":"https://openalex.org/keywords/reduced-order-simulation","display_name":"reduced-order simulation","score":0.6869999766349792}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7566999793052673},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.6175000071525574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5978000164031982},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5812000036239624},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.5360999703407288},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C199668693","wikidata":"https://www.wikidata.org/wiki/Q1550329","display_name":"Collision detection","level":3,"score":0.5163999795913696},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.49559998512268066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4702000021934509},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.42489999532699585},{"id":"https://openalex.org/C95565831","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine coordinate system","level":4,"score":0.39169999957084656},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37720000743865967},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.36149999499320984},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32739999890327454},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3127000033855438},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3043000102043152},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3027999997138977},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29660001397132874},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28459998965263367},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2757999897003174},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.27549999952316284},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26570001244544983},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.25589999556541443}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3842507","doi":"https://doi.org/10.1145/3842507","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3842507","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,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3842507","doi":"https://doi.org/10.1145/3842507","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3842507","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,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1514487078","https://openalex.org/W1568806545","https://openalex.org/W1969947491","https://openalex.org/W1976955994","https://openalex.org/W1979444033","https://openalex.org/W1985787666","https://openalex.org/W2002436811","https://openalex.org/W2005412377","https://openalex.org/W2008126761","https://openalex.org/W2019681680","https://openalex.org/W2024243735","https://openalex.org/W2025412867","https://openalex.org/W2032507921","https://openalex.org/W2035195672","https://openalex.org/W2055174129","https://openalex.org/W2121134834","https://openalex.org/W2141835663","https://openalex.org/W2153961306","https://openalex.org/W2234650683","https://openalex.org/W2245259275","https://openalex.org/W2248463013","https://openalex.org/W2295357537","https://openalex.org/W2323351974","https://openalex.org/W2530006557","https://openalex.org/W2556364298","https://openalex.org/W2809920795","https://openalex.org/W2908510526","https://openalex.org/W2962051848","https://openalex.org/W3022296642","https://openalex.org/W3048889784","https://openalex.org/W3106791303","https://openalex.org/W3137837523","https://openalex.org/W3178714617","https://openalex.org/W3184236041","https://openalex.org/W3184473468","https://openalex.org/W4230143017","https://openalex.org/W4244455727","https://openalex.org/W4250702940","https://openalex.org/W4252713891","https://openalex.org/W4285965606","https://openalex.org/W4286611167","https://openalex.org/W4286615952","https://openalex.org/W4293775970","https://openalex.org/W4385261075","https://openalex.org/W4385275470","https://openalex.org/W4385318467","https://openalex.org/W4385535337","https://openalex.org/W4389539490","https://openalex.org/W4389575012","https://openalex.org/W4389575021","https://openalex.org/W4400581031","https://openalex.org/W4400702585","https://openalex.org/W4400819128","https://openalex.org/W4402716153","https://openalex.org/W7167230459","https://openalex.org/W7167287776"],"related_works":["https://openalex.org/W4286611167","https://openalex.org/W7100346378","https://openalex.org/W7167230459","https://openalex.org/W7101187503","https://openalex.org/W7095963044","https://openalex.org/W23205780","https://openalex.org/W2113115376","https://openalex.org/W2101161306","https://openalex.org/W2022014116","https://openalex.org/W3109247082"],"abstract_inverted_index":{"Rigid-body":[0],"and":[1,46,58,82,144,148,155,244],"affine":[2,64,99,111,119],"body":[3,65,100],"dynamics":[4,66,101],"are":[5],"default":[6],"simulation":[7,70,133,261],"modalities":[8],"for":[9,239],"rigid":[10],"or":[11,29,36,259],"near-rigid":[12],"objects.":[13],"Their":[14],"low-rank":[15],"kinematic":[16],"models":[17],"inherently":[18],"preclude":[19],"vibrational":[20,63,172,237],"responses":[21,179,238],"that":[22,72,96,203,207,233],"stiff":[23,240],"bodies":[24],"exhibit":[25],"during":[26],"abrupt":[27],"impacts":[28],"contacts.":[30],"Simulating":[31],"such":[32],"behavior":[33],"with":[34,121,134,188],"full":[35],"reduced":[37,132,171,186,260],"finite":[38],"element":[39],"method":[40],"(FEM)":[41],"requires":[42],"high":[43],"spatial":[44],"resolution":[45],"small":[47,214],"time":[48,215],"steps,":[49,216],"which":[50,217],"significantly":[51],"increases":[52],"computational":[53],"costs":[54],"of":[55,108,222,249,254],"system":[56,125,187],"solving":[57],"collision":[59,138,150,178,208],"handling.":[60],"We":[61,161],"propose":[62],"(VABD),":[67],"a":[68,90,163,200],"novel":[69],"framework":[71],"captures":[73],"these":[74],"missing":[75],"high-frequency":[76,104],"vibrations":[77],"while":[78,113,226],"preserving":[79],"excellent":[80],"efficiency":[81],"robustness,":[83],"even":[84],"in":[85],"complex":[86],"scenarios.":[87],"VABD":[88,140,234,251],"introduces":[89],"carefully":[91],"constructed":[92],"secondary":[93],"vibration":[94],"subspace":[95,120,128],"augments":[97],"standard":[98],"to":[102,116,123,152,174,180,184],"encode":[103],"deformation":[105],"on":[106],"top":[107],"the":[109,124,185,194,205,220],"time-varying":[110],"frame,":[112],"remaining":[114],"orthogonal":[115],"this":[117],"evolving":[118],"respect":[122],"matrix.":[126],"This":[127],"design":[129],"enables":[130],"efficient":[131],"improved":[135],"expressiveness.":[136],"For":[137],"handling,":[139],"employs":[141],"medial-axis-based":[142],"proxies":[143],"interleaves":[145],"medial":[146,175],"continuous":[147],"discrete":[149],"detection":[151],"balance":[153],"robustness":[154],"performance":[156],"across":[157],"different":[158],"motion":[159],"scales.":[160],"train":[162],"neural":[164],"MAT":[165],"(medial":[166],"axis":[167],"transform)":[168],"mapping":[169],"from":[170],"coordinates":[173],"primitives,":[176],"enabling":[177],"be":[181],"coupled":[182],"back":[183],"well-defined":[189],"derivatives.":[190],"To":[191],"efficiently":[192],"solve":[193],"resulting":[195],"implicit":[196],"system,":[197],"we":[198],"introduce":[199],"Newton-quasi-Newton":[201],"solver":[202],"exploits":[204],"fact":[206],"Hessians":[209],"remain":[210],"largely":[211],"unchanged":[212],"under":[213],"effectively":[218],"suppresses":[219],"overhead":[221],"repeated":[223],"Hessian":[224],"construction":[225],"retaining":[227],"strong":[228],"second-order":[229],"convergence.":[230],"Experiments":[231],"demonstrate":[232],"produces":[235],"realistic":[236],"objects":[241],"undergoing":[242],"intensive":[243],"extensive":[245],"collisions.":[246],"In":[247],"terms":[248],"performance,":[250],"is":[252],"orders":[253],"magnitude":[255],"faster":[256],"than":[257],"FEM-based":[258],"approaches.":[262]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}