{"id":"https://openalex.org/W2155250327","doi":"https://doi.org/10.1109/cvpr.2010.5539942","title":"Recovering fluid-type motions using Navier-Stokes potential flow","display_name":"Recovering fluid-type motions using Navier-Stokes potential flow","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2155250327","doi":"https://doi.org/10.1109/cvpr.2010.5539942","mag":"2155250327"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2010.5539942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-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/A5110515489","display_name":"Feng Li","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Feng Li","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Delaware, Newark, DE, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101843456","display_name":"Liwei Xu","orcid":"https://orcid.org/0009-0008-0382-7085"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liwei Xu","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085782000","display_name":"Philippe Guyenne","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philippe Guyenne","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101500646","display_name":"Jingyi Yu","orcid":"https://orcid.org/0000-0001-9198-6853"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jingyi Yu","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Delaware, Newark, DE, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110515489"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":2.586,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90964878,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2448","last_page":"2455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9962999820709229,"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/optical-flow","display_name":"Optical flow","score":0.582551121711731},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.545749843120575},{"id":"https://openalex.org/keywords/potential-flow","display_name":"Potential flow","score":0.49341240525245667},{"id":"https://openalex.org/keywords/velocity-potential","display_name":"Velocity potential","score":0.42118144035339355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3512515425682068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3497873544692993},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2524632215499878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24698910117149353},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.21217402815818787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2037520706653595},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1798635721206665},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.16244205832481384},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.08964067697525024}],"concepts":[{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.582551121711731},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.545749843120575},{"id":"https://openalex.org/C131043120","wikidata":"https://www.wikidata.org/wiki/Q1543991","display_name":"Potential flow","level":2,"score":0.49341240525245667},{"id":"https://openalex.org/C157216528","wikidata":"https://www.wikidata.org/wiki/Q1331126","display_name":"Velocity potential","level":3,"score":0.42118144035339355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3512515425682068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3497873544692993},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2524632215499878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24698910117149353},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.21217402815818787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2037520706653595},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1798635721206665},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.16244205832481384},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.08964067697525024}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2010.5539942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.231.9010","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.231.9010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecis.udel.edu/%7Efeli/_papers/fluid-flow.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W565425273","https://openalex.org/W1507795625","https://openalex.org/W1604275516","https://openalex.org/W1608498920","https://openalex.org/W1646639548","https://openalex.org/W1963943638","https://openalex.org/W1984180939","https://openalex.org/W1991026669","https://openalex.org/W2003405066","https://openalex.org/W2005067064","https://openalex.org/W2019661178","https://openalex.org/W2034869517","https://openalex.org/W2042577565","https://openalex.org/W2054654931","https://openalex.org/W2077786999","https://openalex.org/W2090885565","https://openalex.org/W2100315781","https://openalex.org/W2103876808","https://openalex.org/W2109545253","https://openalex.org/W2133852432","https://openalex.org/W2141956862","https://openalex.org/W2147253850","https://openalex.org/W2159739271","https://openalex.org/W2168874984","https://openalex.org/W2295821368","https://openalex.org/W4236692733","https://openalex.org/W4285719527","https://openalex.org/W6630287936","https://openalex.org/W6636096403","https://openalex.org/W6636981687","https://openalex.org/W6681133991"],"related_works":["https://openalex.org/W4242363599","https://openalex.org/W1974589110","https://openalex.org/W2356234322","https://openalex.org/W2200791426","https://openalex.org/W2242591837","https://openalex.org/W773630815","https://openalex.org/W1912670706","https://openalex.org/W611232910","https://openalex.org/W2241931915","https://openalex.org/W3134455202"],"abstract_inverted_index":{"The":[0,77],"classical":[1],"optical":[2],"flow":[3,35,53,73,86],"assumes":[4],"that":[5,97,204],"a":[6,46,65,93,112,160],"feature":[7],"point":[8],"maintains":[9],"constant":[10,24],"brightness":[11,25,95],"across":[12],"the":[13,23,33,62,70,75,80,84,106,121,124,130,135,141,153,167,176,180,190],"frames.":[14],"For":[15],"fluid-type":[16,57],"motions":[17],"such":[18],"as":[19,64,185,187],"smoke":[20],"or":[21],"clouds,":[22],"assumption":[26],"does":[27],"not":[28],"hold,":[29],"and":[30,68,158,200,209],"accurately":[31],"estimating":[32],"motion":[34,85],"from":[36,183],"their":[37],"images":[38,184,202],"is":[39,207],"difficult.":[40],"In":[41],"this":[42],"paper,":[43],"we":[44,133,171],"introduce":[45],"simple":[47],"but":[48],"effective":[49],"Navier-Stokes":[50],"(NS)":[51],"potential":[52,72,82,125,131,145,182],"model":[54,120],"for":[55,129],"recovering":[56],"motions.":[58],"Our":[59],"method":[60,163],"treats":[61],"image":[63],"wavefront":[66,100,191],"surface":[67,148],"models":[69,99],"3D":[71,142],"beneath":[74],"surface.":[76],"gradient":[78],"of":[79,105,114,123],"velocity":[81,107,144,149,181],"describes":[83],"at":[87],"every":[88],"voxel.":[89],"We":[90,109,151],"first":[91],"derive":[92],"general":[94],"constraint":[96],"explicitly":[98],"(brightness)":[101],"variations":[102],"in":[103],"terms":[104],"potential.":[108,150],"then":[110],"use":[111,134,175],"series":[113],"partial":[115],"differential":[116],"equations":[117],"to":[118,139,146,164,174,178,188],"separately":[119],"dynamics":[122],"flow.":[126],"To":[127],"solve":[128],"flow,":[132],"Dirichlet-Neumann":[136],"Operator":[137],"(DNO)":[138],"simplify":[140],"volumetric":[143],"2D":[147],"approximate":[152],"DNO":[154,177],"via":[155],"Taylor":[156,168],"expansions":[157],"develop":[159],"Fourier":[161],"domain":[162],"efficiently":[165],"estimate":[166],"coefficients.":[169],"Finally":[170],"show":[172,203],"how":[173],"recover":[179],"well":[186],"propagate":[189],"(image)":[192],"over":[193],"time.":[194],"Experimental":[195],"results":[196],"on":[197],"both":[198],"synthetic":[199],"real":[201],"our":[205],"technique":[206],"robust":[208],"reliable.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}