{"id":"https://openalex.org/W195177224","doi":"https://doi.org/10.1109/tiv.2017.2676620","title":"Motion Estimation via Robust Decomposition With Constrained Rank","display_name":"Motion Estimation via Robust Decomposition With Constrained Rank","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W195177224","doi":"https://doi.org/10.1109/tiv.2017.2676620","mag":"195177224"},"language":"en","primary_location":{"id":"doi:10.1109/tiv.2017.2676620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tiv.2017.2676620","pdf_url":null,"source":{"id":"https://openalex.org/S4210199657","display_name":"IEEE Transactions on Intelligent Vehicles","issn_l":"2379-8858","issn":["2379-8858","2379-8904"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Vehicles","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1410.6126","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055898646","display_name":"Germ\u00e1n Ros","orcid":"https://orcid.org/0000-0002-4909-7435"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"German Ros","raw_affiliation_strings":["Computer Vision Center, Universitat Aut\u00f2noma de Barcelona, Barcelona, Spain","Computer Vision Center (Universitat Aut\u00f2noma de Barcelona), Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Vision Center, Universitat Aut\u00f2noma de Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I123044942"]},{"raw_affiliation_string":"Computer Vision Center (Universitat Aut\u00f2noma de Barcelona), Barcelona, Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101540588","display_name":"Jose M. \u00c1lvarez","orcid":"https://orcid.org/0000-0002-7535-6322"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jose M. Alvarez","raw_affiliation_strings":["NICTA, Canberra, Australia","NICTA, Canberra, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NICTA, Canberra, Australia","institution_ids":["https://openalex.org/I42894916"]},{"raw_affiliation_string":"NICTA, Canberra, Australia#TAB#","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080968099","display_name":"Julio Guerrero","orcid":"https://orcid.org/0000-0002-7118-4500"},"institutions":[{"id":"https://openalex.org/I80180929","display_name":"Universidad de Murcia","ror":"https://ror.org/03p3aeb86","country_code":"ES","type":"education","lineage":["https://openalex.org/I80180929"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Julio Guerrero","raw_affiliation_strings":["Department of Applied Mathematics, Universidad de Murcia, Espinardo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Universidad de Murcia, Espinardo, Spain","institution_ids":["https://openalex.org/I80180929"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2105,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60373035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":"4","first_page":"346","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9995999932289124,"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":0.9995999932289124,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9979000091552734,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/outlier","display_name":"Outlier","score":0.8109102249145508},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7465376257896423},{"id":"https://openalex.org/keywords/structure-from-motion","display_name":"Structure from motion","score":0.5338002443313599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5286576747894287},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4888846278190613},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.47351694107055664},{"id":"https://openalex.org/keywords/motion-estimation","display_name":"Motion estimation","score":0.45796066522598267},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.4556593596935272},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.4355376064777374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39284056425094604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37671518325805664},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3428226709365845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3301195502281189},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.10386747121810913},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07002526521682739}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.8109102249145508},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7465376257896423},{"id":"https://openalex.org/C146159030","wikidata":"https://www.wikidata.org/wiki/Q7625099","display_name":"Structure from motion","level":3,"score":0.5338002443313599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5286576747894287},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4888846278190613},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.47351694107055664},{"id":"https://openalex.org/C10161872","wikidata":"https://www.wikidata.org/wiki/Q557891","display_name":"Motion estimation","level":2,"score":0.45796066522598267},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.4556593596935272},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.4355376064777374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39284056425094604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37671518325805664},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3428226709365845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3301195502281189},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.10386747121810913},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07002526521682739},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tiv.2017.2676620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tiv.2017.2676620","pdf_url":null,"source":{"id":"https://openalex.org/S4210199657","display_name":"IEEE Transactions on Intelligent Vehicles","issn_l":"2379-8858","issn":["2379-8858","2379-8904"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Vehicles","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1410.6126","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.6126","pdf_url":"https://arxiv.org/pdf/1410.6126","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:195177224","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1410.6126.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.490","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.490","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1410.6126.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1410.6126","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1410.6126","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1410.6126","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.6126","pdf_url":"https://arxiv.org/pdf/1410.6126","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3873720069","display_name":null,"funder_award_id":"08814PI08","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"}],"funders":[{"id":"https://openalex.org/F4320310087","display_name":"Fundaci\u00f3n S\u00e9neca","ror":"https://ror.org/03q68pf65"},{"id":"https://openalex.org/F4320310369","display_name":"National ICT Australia","ror":"https://ror.org/03q397159"},{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1993228150","https://openalex.org/W1993803475","https://openalex.org/W2009702064","https://openalex.org/W2012319351","https://openalex.org/W2050551672","https://openalex.org/W2063339092","https://openalex.org/W2085261163","https://openalex.org/W2091373812","https://openalex.org/W2091741383","https://openalex.org/W2113685147","https://openalex.org/W2131628350","https://openalex.org/W2138835141","https://openalex.org/W2141284185","https://openalex.org/W2144006746","https://openalex.org/W2145962650","https://openalex.org/W2150066425","https://openalex.org/W2154280780","https://openalex.org/W2155094592","https://openalex.org/W2167732364","https://openalex.org/W4210306310","https://openalex.org/W4243425824","https://openalex.org/W6608094899","https://openalex.org/W6649031020","https://openalex.org/W6675164516","https://openalex.org/W6679973066","https://openalex.org/W6684742562","https://openalex.org/W6929385289"],"related_works":["https://openalex.org/W2962899310","https://openalex.org/W2125092888","https://openalex.org/W2937195548","https://openalex.org/W2608338256","https://openalex.org/W2529860769","https://openalex.org/W2162368482","https://openalex.org/W2556598144","https://openalex.org/W2797689491","https://openalex.org/W3040773414","https://openalex.org/W3110915916","https://openalex.org/W2142075335","https://openalex.org/W3211492847","https://openalex.org/W199797433","https://openalex.org/W2905988874","https://openalex.org/W3158855818","https://openalex.org/W2952322822","https://openalex.org/W2249986096","https://openalex.org/W2963844871","https://openalex.org/W3121108338","https://openalex.org/W3016569613"],"abstract_inverted_index":{"In":[0],"this":[1,52,123],"work,":[2],"we":[3,79,125],"address":[4],"the":[5,83,88,113,127,141,185,189],"problem":[6],"of":[7,191],"outlier":[8,120],"detection":[9],"for":[10,119,158],"robust":[11,156],"motion":[12,73,146],"estimation":[13,74,157],"by":[14],"using":[15],"modern":[16],"sparse-low-rank":[17],"decompositions,":[18],"i.e.,":[19],"Robust":[20,28,128],"PCA-like":[21],"methods,":[22],"to":[23,32,64,81,90,107,145,154],"impose":[24],"global":[25],"rank":[26,61,142],"constraints.":[27],"decompositions":[29],"have":[30,58],"shown":[31],"be":[33,117],"good":[34],"at":[35],"splitting":[36],"a":[37,46,68,77,134,151,167],"corrupted":[38],"matrix":[39,44],"into":[40],"an":[41,109],"uncorrupted":[42,110],"low-rank":[43,111],"and":[45,166,183,197],"sparse":[47],"matrix,":[48,112],"containing":[49],"outliers.":[50,95],"However,":[51],"process":[53],"only":[54],"works":[55],"when":[56,102],"matrices":[57],"relatively":[59],"low":[60],"with":[62,130],"respect":[63],"their":[65],"ambient":[66],"space,":[67],"property":[69],"not":[70,105],"met":[71],"in":[72,87,194],"problems.":[75],"As":[76],"solution,":[78],"propose":[80,126],"exploit":[82],"partial":[84],"information":[85,115],"present":[86,150],"decomposition":[89],"decide":[91],"which":[92],"matches":[93],"are":[94],"We":[96,148],"provide":[97],"evidences":[98],"showing":[99],"that":[100,139,174],"even":[101],"it":[103,198],"is":[104],"possible":[106],"recover":[108],"resulting":[114],"can":[116],"exploited":[118],"detection.":[121],"To":[122],"end":[124],"Decomposition":[129],"Constrained":[131],"Rank":[132],"(RD-CR),":[133],"proximal":[135],"gradient":[136],"based":[137,162],"method":[138,173],"enforces":[140],"constraints":[143],"inherent":[144],"estimation.":[147],"also":[149],"general":[152],"framework":[153],"perform":[155],"stereo":[159],"Visual":[160],"Odometry,":[161],"on":[163,180,184],"our":[164,192],"RD-CR":[165],"simple":[168],"but":[169],"effective":[170],"compressed":[171],"optimization":[172],"achieves":[175],"high":[176],"performance.":[177,201],"Our":[178],"evaluation":[179],"synthetic":[181],"data":[182],"KITTI":[186],"dataset":[187],"demonstrates":[188],"applicability":[190],"approach":[193],"complex":[195],"scenarios":[196],"yields":[199],"state-of-the-art":[200]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
