{"id":"https://openalex.org/W1997409415","doi":"https://doi.org/10.5244/c.23.108","title":"Anisotropic Huber-L1 Optical Flow","display_name":"Anisotropic Huber-L1 Optical Flow","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1997409415","doi":"https://doi.org/10.5244/c.23.108","mag":"1997409415"},"language":"es","primary_location":{"id":"doi:10.5244/c.23.108","doi":"https://doi.org/10.5244/c.23.108","is_oa":false,"landing_page_url":"https://doi.org/10.5244/c.23.108","pdf_url":null,"source":{"id":"https://openalex.org/S7407088578","display_name":"British Machine Vision Conference (BMVC)","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":"Procedings of the British Machine Vision Conference 2009","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/A5067545743","display_name":"Manuel Werlberger","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Manuel Werlberger","raw_affiliation_strings":[", Graz University of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Graz University of Technology#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066290609","display_name":"Werner Trobin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Werner Trobin","raw_affiliation_strings":[", Graz University of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Graz University of Technology#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032205387","display_name":"Thomas Pock","orcid":"https://orcid.org/0000-0001-6120-1058","observed_orcids":["https://orcid.org/0000-0001-6120-1058"]},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Thomas Pock","raw_affiliation_strings":[", Graz University of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Graz University of Technology#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038190967","display_name":"Andreas Wedel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Wedel","raw_affiliation_strings":["University of Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087710605","display_name":"Daniel Cremers","orcid":"https://orcid.org/0000-0002-3079-7984","observed_orcids":["https://orcid.org/0000-0002-3079-7984"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Cremers","raw_affiliation_strings":["University of Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011359067","display_name":"Horst Bischof","orcid":"https://orcid.org/0000-0002-9096-6671","observed_orcids":["https://orcid.org/0000-0002-9096-6671"]},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Horst Bischof","raw_affiliation_strings":[", Graz University of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Graz University of Technology#TAB#","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":34.8112,"has_fulltext":false,"cited_by_count":365,"citation_normalized_percentile":{"value":0.99836303,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"108.1","last_page":"108.11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.986299991607666,"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":0.986299991607666,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.003100000089034438,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.001500000013038516,"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":0.8059999942779541},{"id":"https://openalex.org/keywords/anisotropic-regularization","display_name":"anisotropic regularization","score":0.8349999785423279},{"id":"https://openalex.org/keywords/total-variation-regularization","display_name":"total variation regularization","score":0.9409999847412109},{"id":"https://openalex.org/keywords/staircasing-artifacts","display_name":"staircasing artifacts","score":0.7059999704360962},{"id":"https://openalex.org/keywords/motion-discontinuities","display_name":"motion discontinuities","score":0.6629999876022339},{"id":"https://openalex.org/keywords/object-boundaries","display_name":"object boundaries","score":0.6349999904632568},{"id":"https://openalex.org/keywords/disparity-estimation","display_name":"disparity estimation","score":0.5899999737739563},{"id":"https://openalex.org/keywords/sparse-regularization","display_name":"sparse regularization","score":0.3140000104904175}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7595174312591553},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6988685727119446},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6671743392944336},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.639910101890564},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5950571298599243},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.586898148059845},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.5831889510154724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5074805617332458},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.5029057860374451},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.48643016815185547},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4268915057182312},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4259764552116394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4242519438266754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34901925921440125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33334869146347046},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2832600772380829},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26587361097335815},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.21320369839668274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1824471354484558},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13382092118263245}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5244/c.23.108","doi":"https://doi.org/10.5244/c.23.108","is_oa":false,"landing_page_url":"https://doi.org/10.5244/c.23.108","pdf_url":null,"source":{"id":"https://openalex.org/S7407088578","display_name":"British Machine Vision Conference (BMVC)","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":"Procedings of the British Machine Vision Conference 2009","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":0,"referenced_works":[],"related_works":["https://openalex.org/W7098380679","https://openalex.org/W7018462692","https://openalex.org/W2792758164","https://openalex.org/W2551443908","https://openalex.org/W194118007","https://openalex.org/W2997905734","https://openalex.org/W7014175908","https://openalex.org/W1578985305","https://openalex.org/W2113989386","https://openalex.org/W61928934"],"abstract_inverted_index":{"TV":[0,87],"regularization":[1],"is":[2,92,115],"an":[3],"L1":[4,18],"penalization":[5,61,70],"of":[6,16,26,85,99,104],"the":[7,14,17,28,33,76,101,105,121],"flow":[8,111],"gradient":[9,64],"magnitudes,":[10],"and":[11,88,132],"due":[12],"to":[13,20,36,68,74],"tendency":[15],"norm":[19],"favor":[21],"sparse":[22],"solutions":[23,39],"(i.e.":[24],"lots":[25],"\u2018zeros\u2019),":[27],"fill-in":[29],"effect":[30],"caused":[31],"by":[32,57,97],"regularizer":[34],"leads":[35],"piecewise":[37],"constant":[38],"in":[40,49,94,134],"weakly":[41],"textured":[42],"areas.":[43],"This":[44],"effect,":[45],"known":[46,80],"as":[47,117],"\u2018staircasing\u2019":[48],"a":[50,59],"1D":[51],"setting,":[52],"can":[53],"be":[54],"reduced":[55],"significantly":[56],"using":[58],"quadratic":[60],"for":[62,71],"small":[63],"magnitudes":[65,73],"while":[66],"sticking":[67],"linear":[69],"larger":[72],"maintain":[75],"discontinuity":[77],"preserving":[78],"properties":[79],"from":[81],"TV.":[82],"A":[83],"comparison":[84],"isotropic":[86,89],"Huber":[90],"regularity":[91],"shown":[93],"Fig.":[95,113],"1":[96],"means":[98],"rendering":[100],"disparities":[102],"u1":[103],"Dimetrodon":[106],"dataset.":[107],"The":[108],"color":[109],"coded":[110],"(cf.":[112],"1(a))":[114],"superimposed":[116],"texture.":[118],"Based":[119],"on":[120],"two":[122],"observations":[123],"that":[124,133],"motion":[125],"discontinuities":[126],"often":[127,138],"occur":[128],"along":[129],"object":[130,136],"boundaries":[131,137],"turn":[135],"coincide":[139]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":26},{"year":2015,"cited_by_count":40},{"year":2014,"cited_by_count":39},{"year":2013,"cited_by_count":40},{"year":2012,"cited_by_count":37}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}