{"id":"https://openalex.org/W2292291168","doi":"https://doi.org/10.2312/egt.20151045","title":"Position-Based Simulation Methods in Computer Graphics","display_name":"Position-Based Simulation Methods in Computer Graphics","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2292291168","doi":"https://doi.org/10.2312/egt.20151045","mag":"2292291168"},"language":"en","primary_location":{"id":"doi:10.2312/egt.20151045","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20151045","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egt.20151045","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059492138","display_name":"Jan Bender","orcid":"https://orcid.org/0000-0002-1908-4027"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bender, Jan","raw_affiliation_strings":["Technical University of Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101623027","display_name":"Matthias M\u00fcller","orcid":"https://orcid.org/0000-0003-2442-3801"},"institutions":[{"id":"https://openalex.org/I1304085615","display_name":"Nvidia (United Kingdom)","ror":"https://ror.org/02kr42612","country_code":"GB","type":"company","lineage":["https://openalex.org/I1304085615","https://openalex.org/I4210127875"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M\u00fcller, Matthias","raw_affiliation_strings":["Nvidia (United Kingdom), Reading, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Nvidia (United Kingdom), Reading, United Kingdom","institution_ids":["https://openalex.org/I1304085615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032370229","display_name":"Miles Macklin","orcid":"https://orcid.org/0000-0003-3954-8009"},"institutions":[{"id":"https://openalex.org/I1304085615","display_name":"Nvidia (United Kingdom)","ror":"https://ror.org/02kr42612","country_code":"GB","type":"company","lineage":["https://openalex.org/I1304085615","https://openalex.org/I4210127875"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Macklin, Miles","raw_affiliation_strings":["Nvidia (United Kingdom), Reading, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Nvidia (United Kingdom), Reading, United Kingdom","institution_ids":["https://openalex.org/I1304085615"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059492138"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T12290","display_name":"Human Motion and Animation","score":0.9635000228881836,"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"}},{"id":"https://openalex.org/T10888","display_name":"Augmented Reality Applications","score":0.9624999761581421,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/computer-science","display_name":"Computer science","score":0.7454571723937988},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.6596342921257019},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.6300678253173828},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5950971245765686},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.5434212684631348}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7454571723937988},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.6596342921257019},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.6300678253173828},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5950971245765686},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.5434212684631348},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/egt.20151045","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20151045","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.2312/egt.20151045","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egt.20151045","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2132836675","https://openalex.org/W2530006557","https://openalex.org/W2024243735","https://openalex.org/W2112961542","https://openalex.org/W2067691029","https://openalex.org/W2171186721","https://openalex.org/W2114452485","https://openalex.org/W2115513040","https://openalex.org/W1897905128","https://openalex.org/W2940785002","https://openalex.org/W2941351267","https://openalex.org/W2471927510","https://openalex.org/W2235036220","https://openalex.org/W2191277340","https://openalex.org/W2181809677","https://openalex.org/W2160135071","https://openalex.org/W2053254380","https://openalex.org/W2283930150","https://openalex.org/W2888130750","https://openalex.org/W1569339351"],"abstract_inverted_index":{"The":[0],"physically-based":[1],"simulation":[2,78,91,101,152],"of":[3,42,49,69,108,150,174,198],"mechanical":[4],"effects":[5,36,160,226],"has":[6],"been":[7],"an":[8,244],"important":[9],"research":[10],"topic":[11],"in":[12,22,83,99,126,161],"computer":[13,156],"graphics":[14,85],"for":[15,124],"more":[16],"than":[17],"two":[18],"decades.":[19],"Classical":[20],"methods":[21,79,94,131,139,206],"this":[23,166],"field":[24],"discretize":[25],"Newton\u2019s":[26],"second":[27],"law":[28],"and":[29,40,47,60,118,158,163,182,219,234,246],"determine":[30],"different":[31,180],"forces":[32],"to":[33,51,89,194,209,237],"simulate":[34,210],"various":[35],"like":[37,227],"stretching,":[38],"shearing,":[39],"bending":[41],"deformable":[43,214],"bodies":[44],"or":[45,229],"pressure":[46],"viscosity":[48],"fluids,":[50],"mention":[52],"just":[53],"a":[54,66,109],"few.":[55],"Given":[56],"these":[57,93,130,199],"forces,":[58],"velocities":[59],"finally":[61],"positions":[62],"are":[63,115,132,153,207],"determined":[64],"by":[65],"numerical":[67],"integration":[68],"the":[70,74,84,96,106,146,171,186,196,239],"resulting":[71],"accelerations.":[72],"In":[73,87,165],"last":[75],"years":[76],"position-based":[77,113,151,175,205],"have":[80],"become":[81],"popular":[82],"community.":[86],"contrast":[88],"classical":[90,187],"approaches":[92,114,193,236],"compute":[95],"position":[97],"changes":[98],"each":[100],"step":[102],"directly,":[103],"based":[104],"on":[105],"solution":[107],"quasi-static":[110],"problem.":[111],"Therefore,":[112],"fast,":[116],"stable":[117],"controllable":[119],"which":[120],"make":[121],"them":[122,184],"well-suited":[123],"use":[125],"interactive":[127],"environments.":[128],"However,":[129],"generally":[133],"not":[134],"as":[135,137],"accurate":[136],"force-based":[138],"but":[140],"still":[141],"provide":[142],"visual":[143],"plausibility.":[144],"Hence,":[145],"main":[147],"application":[148],"areas":[149],"virtual":[154],"reality,":[155],"games":[157],"special":[159],"movies":[162],"commercials.":[164],"tutorial":[167],"we":[168,178,202,242],"first":[169],"introduce":[170,235],"basic":[172],"concept":[173],"dynamics.":[176],"Then":[177],"present":[179],"solvers":[181],"compare":[183],"with":[185],"implicit":[188],"Euler":[189],"method.":[190],"We":[191,221],"discuss":[192,247],"improve":[195,238],"convergence":[197],"solvers.":[200],"Moreover,":[201],"show":[203],"how":[204,224],"applied":[208],"hair,":[211],"cloth,":[212],"volumetric":[213],"bodies,":[215],"rigid":[216],"body":[217],"systems":[218],"fluids.":[220],"also":[222],"demonstrate":[223],"complex":[225],"anisotropy":[228],"plasticity":[230],"can":[231],"be":[232],"simulated":[233],"performance.":[240],"Finally,":[241],"give":[243],"outlook":[245],"open":[248],"problems.":[249]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}