{"id":"https://openalex.org/W4283210449","doi":"https://doi.org/10.2514/6.2022-3336","title":"Optical Flow Velocimetry using a Quasi-Optimal Basis with Implicit Regularization","display_name":"Optical Flow Velocimetry using a Quasi-Optimal Basis with Implicit Regularization","publication_year":2022,"publication_date":"2022-06-20","ids":{"openalex":"https://openalex.org/W4283210449","doi":"https://doi.org/10.2514/6.2022-3336"},"language":"en","primary_location":{"id":"doi:10.2514/6.2022-3336","doi":"https://doi.org/10.2514/6.2022-3336","is_oa":false,"landing_page_url":"https://doi.org/10.2514/6.2022-3336","pdf_url":null,"source":{"id":"https://openalex.org/S4363604317","display_name":"AIAA AVIATION Forum","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIAA AVIATION 2022 Forum","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5023660553","display_name":"Gauresh Raj Jassal","orcid":"https://orcid.org/0009-0007-4650-4123","observed_orcids":["https://orcid.org/0009-0007-4650-4123"]},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gauresh R. Jassal","raw_affiliation_strings":["Case Western Reserve University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Case Western Reserve University","institution_ids":["https://openalex.org/I58956616"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007203593","display_name":"Julia A. Dobrosotskaya","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julia A. Dobrosotskaya","raw_affiliation_strings":["Case Western Reserve University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Case Western Reserve University","institution_ids":["https://openalex.org/I58956616"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043482090","display_name":"Bryan Eric Schmidt","orcid":"https://orcid.org/0000-0001-9193-7760","observed_orcids":["https://orcid.org/0000-0001-9193-7760"]},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bryan E. Schmidt","raw_affiliation_strings":["Case Western Reserve University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Case Western Reserve University","institution_ids":["https://openalex.org/I58956616"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I58956616"],"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.888700008392334,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.888700008392334,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.07970000058412552,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.005400000140070915,"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/singular-value-decomposition","display_name":"singular value decomposition","score":0.9419999718666077},{"id":"https://openalex.org/keywords/implicit-regularization","display_name":"implicit regularization","score":0.7450000047683716},{"id":"https://openalex.org/keywords/ill-posed-inverse-problems","display_name":"ill-posed inverse problems","score":0.8989999890327454},{"id":"https://openalex.org/keywords/turbulence","display_name":"turbulent flow","score":0.5680000185966492},{"id":"https://openalex.org/keywords/direct-numerical-simulation","display_name":"direct numerical simulation","score":0.6119999885559082},{"id":"https://openalex.org/keywords/sparse-representation","display_name":"sparse representation","score":0.4950000047683716},{"id":"https://openalex.org/keywords/patch-size","display_name":"patch size","score":0.6759999990463257}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.5918508768081665},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.577743411064148},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5223606824874878},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5154291391372681},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5112154483795166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48500367999076843},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.47792989015579224},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.44414210319519043},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41116005182266235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36776310205459595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35384172201156616},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16007909178733826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12720659375190735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09858790040016174},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2514/6.2022-3336","doi":"https://doi.org/10.2514/6.2022-3336","is_oa":false,"landing_page_url":"https://doi.org/10.2514/6.2022-3336","pdf_url":null,"source":{"id":"https://openalex.org/S4363604317","display_name":"AIAA AVIATION Forum","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIAA AVIATION 2022 Forum","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W323536346","https://openalex.org/W1578285471","https://openalex.org/W1964809364","https://openalex.org/W1972949070","https://openalex.org/W1974991834","https://openalex.org/W1985424411","https://openalex.org/W1986154199","https://openalex.org/W1987508246","https://openalex.org/W1988391688","https://openalex.org/W2005067064","https://openalex.org/W2028702524","https://openalex.org/W2049117454","https://openalex.org/W2058094631","https://openalex.org/W2061342359","https://openalex.org/W2109255500","https://openalex.org/W2116091257","https://openalex.org/W2116862081","https://openalex.org/W2122160831","https://openalex.org/W2149846618","https://openalex.org/W2160502247","https://openalex.org/W2215972044","https://openalex.org/W2752588670","https://openalex.org/W3000565006","https://openalex.org/W3126396209","https://openalex.org/W3210233072","https://openalex.org/W4302406231"],"related_works":["https://openalex.org/W4391328413","https://openalex.org/W3126396209","https://openalex.org/W3000565006","https://openalex.org/W4410520420","https://openalex.org/W3201692527","https://openalex.org/W2005339648","https://openalex.org/W2105464217","https://openalex.org/W2001404889","https://openalex.org/W3005456840","https://openalex.org/W1969045879"],"abstract_inverted_index":{"View":[0],"Video":[1],"Presentation:":[2],"https://doi.org/10.2514/6.2022-3336.vid":[3],"A":[4,89],"set":[5,27],"of":[6,9,24,28,33,45,51,82,114,124,155],"quasi-optimal":[7,98,160],"bases":[8,42,104,135,161],"orthonormal":[10],"functions":[11],"to":[12,65,72,85],"represent":[13],"fluid":[14,52],"flow":[15,53,70,75,169],"fields":[16,54],"are":[17,43,162],"formed":[18],"using":[19,95],"the":[20,41,67,80,83,87,96,110,125,130,134,139,153,156,159,168],"singular":[21],"value":[22],"decomposition":[23],"a":[25,48,119],"diverse":[26],"direct":[29],"numerical":[30],"simulations":[31],"(DNS)":[32],"various":[34],"turbulent":[35],"flows.":[36],"It":[37],"is":[38,93,145],"found":[39,146],"that":[40,147],"capable":[44],"sparsely":[46],"representing":[47],"wide":[49],"variety":[50],"with":[55,100,158],"minimal":[56],"accuracy":[57],"loss,":[58],"and":[59,137,143],"hence":[60],"can":[61,105],"be":[62],"effectively":[63],"used":[64],"solve":[66],"ill-posed":[68],"optical":[69,74],"problem":[71,84],"perform":[73],"velocimetry":[76],"(OFV),":[77],"by":[78],"reducing":[79],"dimensionality":[81],"resolve":[86],"ill-posedness.":[88],"novel":[90],"OFV":[91,141],"method":[92],"developed":[94],"new":[97],"basis":[99],"implicit":[101,107],"regularization.":[102],"The":[103,122],"impose":[106],"regularization":[108],"on":[109,133,138],"solution":[111],"via":[112],"truncation":[113],"coefficients,":[115],"which":[116],"acts":[117],"as":[118],"physics-informed":[120],"smoothing.":[121],"effect":[123],"user":[126],"defined":[127],"parameters,":[128],"including":[129],"patch":[131,151],"size,":[132,152],"themselves":[136],"resulting":[140],"solutions,":[142],"it":[144],"at":[148,171],"small":[149,172],"enough":[150],"quality":[154],"reconstructions":[157],"dataset":[163],"independent,":[164],"indicating":[165],"universality":[166],"in":[167],"structures":[170],"scales.":[173]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-06-22T00:00:00"}
