{"id":"https://openalex.org/W2134080476","doi":"https://doi.org/10.1109/cvpr.2009.5206660","title":"Learning visual flows: A Lie algebraic approach","display_name":"Learning visual flows: A Lie algebraic approach","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2134080476","doi":"https://doi.org/10.1109/cvpr.2009.5206660","mag":"2134080476"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2009.5206660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2009.5206660","pdf_url":null,"source":{"id":"https://openalex.org/S4363607795","display_name":"2009 IEEE Conference on Computer Vision and Pattern Recognition","issn_l":null,"issn":null,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/59336","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010087030","display_name":"Dahua Lin","orcid":"https://orcid.org/0000-0002-8865-7896"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dahua Lin","raw_affiliation_strings":["CSAIL, MIT, USA","CSAIL - MIT, Cambridge, MA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"CSAIL, MIT, USA","institution_ids":[]},{"raw_affiliation_string":"CSAIL - MIT, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033156170","display_name":"Eric Grimson","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Grimson","raw_affiliation_strings":["CSAIL, MIT, USA","CSAIL - MIT, Cambridge, MA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"CSAIL, MIT, USA","institution_ids":[]},{"raw_affiliation_string":"CSAIL - MIT, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091608832","display_name":"John W. Fisher","orcid":"https://orcid.org/0000-0003-4844-3495"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Fisher","raw_affiliation_strings":["CSAIL, MIT, USA","CSAIL - MIT, Cambridge, MA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"CSAIL, MIT, USA","institution_ids":[]},{"raw_affiliation_string":"CSAIL - MIT, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010087030"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":2.115,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.89347696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"747","last_page":"754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9980000257492065,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9980000257492065,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9977999925613403,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.6053621172904968},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5906542539596558},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.5512955784797668},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5370110273361206},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5221955180168152},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48902997374534607},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.47948914766311646},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4723473787307739},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.46224379539489746},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.45090335607528687},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40039557218551636},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3508274555206299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3079156279563904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1704632043838501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11805403232574463}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6053621172904968},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5906542539596558},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.5512955784797668},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5370110273361206},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5221955180168152},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48902997374534607},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.47948914766311646},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4723473787307739},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.46224379539489746},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.45090335607528687},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40039557218551636},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3508274555206299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3079156279563904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1704632043838501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11805403232574463},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cvpr.2009.5206660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2009.5206660","pdf_url":null,"source":{"id":"https://openalex.org/S4363607795","display_name":"2009 IEEE Conference on Computer Vision and Pattern Recognition","issn_l":null,"issn":null,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.310.784","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.310.784","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.csail.mit.edu/fisher/publications/papers/dhlin09cvpr.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/59336","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/59336","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE","raw_type":"http://purl.org/eprint/type/JournalArticle"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/59336","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/59336","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE","raw_type":"http://purl.org/eprint/type/JournalArticle"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1551148884","https://openalex.org/W1557324374","https://openalex.org/W1595765050","https://openalex.org/W1867429401","https://openalex.org/W1978799052","https://openalex.org/W2013140709","https://openalex.org/W2036942558","https://openalex.org/W2037865596","https://openalex.org/W2096246546","https://openalex.org/W2102625004","https://openalex.org/W2104967514","https://openalex.org/W2109389234","https://openalex.org/W2113800095","https://openalex.org/W2119531879","https://openalex.org/W2124609748","https://openalex.org/W2125772040","https://openalex.org/W2148442626","https://openalex.org/W2149832394","https://openalex.org/W2151186479","https://openalex.org/W2155487100","https://openalex.org/W2158207955","https://openalex.org/W2159556349","https://openalex.org/W2162616721","https://openalex.org/W3150797255","https://openalex.org/W4205510932","https://openalex.org/W4212819559","https://openalex.org/W6639126518","https://openalex.org/W6660148379"],"related_works":["https://openalex.org/W2353644209","https://openalex.org/W2593663830","https://openalex.org/W2348743188","https://openalex.org/W2902317490","https://openalex.org/W2463239216","https://openalex.org/W4387423451","https://openalex.org/W2025460258","https://openalex.org/W2046628353","https://openalex.org/W2096879929","https://openalex.org/W2381703089"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,24,30,37,53,117],"novel":[3],"method":[4],"for":[5],"modeling":[6],"dynamic":[7,25],"visual":[8],"phenomena,":[9],"which":[10,47],"consists":[11],"of":[12,20,41,148,154],"two":[13],"key":[14],"aspects.":[15],"First,":[16],"the":[17,42,49,59,63,67,82,86,90,123],"integral":[18],"motion":[19,143],"constituent":[21],"elements":[22],"in":[23],"scene":[26],"is":[27,45,135],"captured":[28],"by":[29],"common":[31,142],"underlying":[32],"geometric":[33],"transform":[34,43],"process.":[35],"Second,":[36],"Lie":[38,87],"algebraic":[39],"representation":[40],"process":[44],"introduced,":[46],"maps":[48],"transformation":[50],"group":[51,64],"to":[52,62,120],"vector":[54,73],"space,":[55],"and":[56,89,128,151],"thus":[57],"overcomes":[58],"difficulties":[60],"due":[61],"structure.":[65],"Consequently,":[66],"statistical":[68,118],"learning":[69],"techniques":[70],"based":[71],"on":[72,137],"spaces":[74],"can":[75,103],"be":[76,104],"readily":[77],"applied.":[78],"Moreover,":[79],"we":[80,114],"discuss":[81],"intrinsic":[83],"connections":[84],"between":[85],"algebra":[88],"Linear":[91],"dynamical":[92],"processes,":[93],"showing":[94],"that":[95,102],"our":[96],"model":[97],"induces":[98],"spatially":[99],"varying":[100],"fields":[101],"estimated":[105],"from":[106,126,145],"local":[107],"motions":[108],"without":[109],"continuous":[110],"tracking.":[111],"Following":[112],"this,":[113],"further":[115],"develop":[116],"framework":[119],"robustly":[121],"learn":[122],"flow":[124],"models":[125],"noisy":[127],"partially":[129],"corrupted":[130],"observations.":[131],"The":[132],"proposed":[133],"methodology":[134],"demonstrated":[136],"real":[138],"world":[139],"phenomenon,":[140],"inferring":[141],"patterns":[144],"surveillance":[146],"videos":[147],"crowded":[149],"scenes":[150],"satellite":[152],"data":[153],"weather":[155],"evolution.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
