{"id":"https://openalex.org/W2988330101","doi":"https://doi.org/10.1145/3355089.3356503","title":"Consistent shepard interpolation for SPH-based fluid animation","display_name":"Consistent shepard interpolation for SPH-based fluid animation","publication_year":2019,"publication_date":"2019-11-08","ids":{"openalex":"https://openalex.org/W2988330101","doi":"https://doi.org/10.1145/3355089.3356503","mag":"2988330101"},"language":"en","primary_location":{"id":"doi:10.1145/3355089.3356503","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355089.3356503","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/A5020424291","display_name":"Stefan Reinhardt","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I1283220839","display_name":"Stuttgart Media University","ror":"https://ror.org/022r03w28","country_code":"DE","type":"education","lineage":["https://openalex.org/I1283220839"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stefan Reinhardt","raw_affiliation_strings":["University of Stuttgart, Hochschule der Medien, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Hochschule der Medien, Germany","institution_ids":["https://openalex.org/I1283220839","https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040374842","display_name":"Tim Krake","orcid":"https://orcid.org/0009-0004-7084-3633"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I1283220839","display_name":"Stuttgart Media University","ror":"https://ror.org/022r03w28","country_code":"DE","type":"education","lineage":["https://openalex.org/I1283220839"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Krake","raw_affiliation_strings":["University of Stuttgart, Hochschule der Medien, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Hochschule der Medien, Germany","institution_ids":["https://openalex.org/I1283220839","https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022425320","display_name":"Bernhard Eberhardt","orcid":"https://orcid.org/0000-0001-6428-4610"},"institutions":[{"id":"https://openalex.org/I1283220839","display_name":"Stuttgart Media University","ror":"https://ror.org/022r03w28","country_code":"DE","type":"education","lineage":["https://openalex.org/I1283220839"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Eberhardt","raw_affiliation_strings":["Hochschule der Medien, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hochschule der Medien, Germany","institution_ids":["https://openalex.org/I1283220839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073619125","display_name":"Daniel Weiskopf","orcid":"https://orcid.org/0000-0003-1174-1026"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Weiskopf","raw_affiliation_strings":["University of Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020424291"],"corresponding_institution_ids":["https://openalex.org/I100066346","https://openalex.org/I1283220839"],"apc_list":null,"apc_paid":null,"fwci":1.5532,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82116534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"38","issue":"6","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":1.0,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":1.0,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9865000247955322,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9656000137329102,"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/smoothing","display_name":"Smoothing","score":0.675527811050415},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6410199999809265},{"id":"https://openalex.org/keywords/smoothed-particle-hydrodynamics","display_name":"Smoothed-particle hydrodynamics","score":0.6178286075592041},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6028699278831482},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5834826827049255},{"id":"https://openalex.org/keywords/kernel-density-estimation","display_name":"Kernel density estimation","score":0.5313428640365601},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4955407381057739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48027968406677246},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4235963523387909},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4054694175720215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3415954113006592},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2578698396682739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2511903643608093},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.15512382984161377},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.1123451292514801},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1069299578666687},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.08473753929138184}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.675527811050415},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6410199999809265},{"id":"https://openalex.org/C122564879","wikidata":"https://www.wikidata.org/wiki/Q733073","display_name":"Smoothed-particle hydrodynamics","level":2,"score":0.6178286075592041},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6028699278831482},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5834826827049255},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.5313428640365601},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4955407381057739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48027968406677246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4235963523387909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4054694175720215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3415954113006592},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2578698396682739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2511903643608093},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.15512382984161377},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.1123451292514801},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1069299578666687},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.08473753929138184},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3355089.3356503","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355089.3356503","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W203619517","https://openalex.org/W810216307","https://openalex.org/W1985820202","https://openalex.org/W2003919582","https://openalex.org/W2022353814","https://openalex.org/W2027159332","https://openalex.org/W2030207475","https://openalex.org/W2034340610","https://openalex.org/W2041256929","https://openalex.org/W2041945014","https://openalex.org/W2044602433","https://openalex.org/W2045670663","https://openalex.org/W2046111318","https://openalex.org/W2053697169","https://openalex.org/W2064376219","https://openalex.org/W2066986143","https://openalex.org/W2134380175","https://openalex.org/W2147169375","https://openalex.org/W2159605775","https://openalex.org/W2160489142","https://openalex.org/W2171413264","https://openalex.org/W2258558225","https://openalex.org/W2411222750","https://openalex.org/W2610857016","https://openalex.org/W2788876408","https://openalex.org/W2794529389","https://openalex.org/W2797696262","https://openalex.org/W2802454466","https://openalex.org/W3021622851","https://openalex.org/W4229706427","https://openalex.org/W4241000183","https://openalex.org/W6891257270","https://openalex.org/W6963830680"],"related_works":["https://openalex.org/W3102552704","https://openalex.org/W4214534161","https://openalex.org/W2069713581","https://openalex.org/W2061815113","https://openalex.org/W1931666210","https://openalex.org/W2033536062","https://openalex.org/W4309587701","https://openalex.org/W2169592479","https://openalex.org/W4206887663","https://openalex.org/W2156294849"],"abstract_inverted_index":{"We":[0,117,202],"present":[1,118],"a":[2,13,95,119,145,238],"novel":[3],"technique":[4,178],"to":[5,127,209,228],"correct":[6],"errors":[7,36],"introduced":[8],"by":[9,122,160,214],"the":[10,29,34,44,51,55,60,64,78,92,97,104,114,124,129,137,140,152,155,172,188,192,195,211,216,230],"discretization":[11],"of":[12,54,68,91,139,162,171],"fluid":[14],"body":[15],"when":[16,236],"animating":[17],"it":[18],"with":[19,77],"smoothed":[20],"particle":[21],"hydrodynamics":[22],"(SPH).":[23],"Our":[24],"approach":[25],"is":[26,48,149,158,169],"based":[27],"on":[28,179,184,233],"Shepard":[30,42],"correction,":[31,43],"which":[32,73],"reduces":[33],"interpolation":[35],"from":[37],"irregularly":[38],"spaced":[39],"data.":[40],"With":[41],"smoothing":[45],"kernel":[46,56,131],"function":[47,57],"normalized":[49],"using":[50,123,237],"weighted":[52],"sum":[53],"values":[58],"in":[59,83,113,154],"neighborhood.":[61],"To":[62,164],"compute":[63,128],"correction":[65,90,132,193],"factor,":[66],"densities":[67,126],"neighboring":[69],"particles":[70],"are":[71,75,107],"needed,":[72],"themselves":[74],"computed":[76],"uncorrected":[79],"kernel.":[80,93],"This":[81],"results":[82],"an":[84,88,204],"inconsistent":[85],"formulation":[86,121],"and":[87,109,183,206],"error-prone":[89],"As":[94],"consequence,":[96],"density":[98,147,156,190,231],"computation":[99],"may":[100,110],"be":[101,198,226],"inaccurate,":[102],"thus":[103],"pressure":[105],"forces":[106],"erroneous":[108],"cause":[111],"instabilities":[112],"simulation":[115],"process.":[116],"consistent":[120],"corrected":[125,189],"exact":[130],"factor":[133],"and,":[134],"thereby,":[135],"increase":[136],"accuracy":[138],"simulation.":[141],"Employing":[142],"our":[143,167,177,223],"method,":[144],"smooth":[146],"distribution":[148,232],"achieved,":[150],"i.e.,":[151],"noise":[153],"field":[157],"reduced":[159],"orders":[161],"magnitude.":[163],"show":[165],"that":[166],"method":[168],"independent":[170],"SPH":[173,182],"variant,":[174],"we":[175,220],"evaluate":[176],"weakly":[180],"compressible":[181],"divergence-free":[185],"SPH.":[186],"Incorporating":[187],"into":[191],"process,":[194],"problem":[196,213],"cannot":[197],"stated":[199],"explicitly":[200],"anymore.":[201],"propose":[203],"efficient":[205],"easy-to-implement":[207],"algorithm":[208],"solve":[210],"implicit":[212],"applying":[215],"power":[217],"method.":[218],"Additionally,":[219],"demonstrate":[221],"how":[222],"model":[224],"can":[225],"applied":[227],"improve":[229],"rigid":[234],"bodies":[235],"well-known":[239],"rigid-fluid":[240],"coupling":[241],"approach.":[242]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
