{"id":"https://openalex.org/W2294582956","doi":"https://doi.org/10.1109/tpami.2002.1033213","title":"Robust factorization","display_name":"Robust factorization","publication_year":2002,"publication_date":"2002-09-01","ids":{"openalex":"https://openalex.org/W2294582956","doi":"https://doi.org/10.1109/tpami.2002.1033213","mag":"2294582956"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2002.1033213","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2002.1033213","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbit.dtu.dk/en/publications/fba63776-eb28-4ae4-85f6-ef0cdfa370b6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081499551","display_name":"Henrik Aan\u00e6s","orcid":"https://orcid.org/0000-0001-7547-4743"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"H. Aanaes","raw_affiliation_strings":["Infomatics and Mathematical Modelling, Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Infomatics and Mathematical Modelling, Lyngby, Denmark","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062276952","display_name":"Rune Vincents Fisker","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140126","display_name":"3Shape (Denmark)","ror":"https://ror.org/042cmjn68","country_code":"DK","type":"company","lineage":["https://openalex.org/I4210140126"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"R. Fisker","raw_affiliation_strings":["3Shope ApS, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"3Shope ApS, Copenhagen, Denmark","institution_ids":["https://openalex.org/I4210140126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068985335","display_name":"Kalle \u00c5str\u00f6m","orcid":"https://orcid.org/0000-0002-8689-7810"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"K. Astrom","raw_affiliation_strings":["Centre for Mathamatical Science, Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Mathamatical Science, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073546063","display_name":"Jens Michael Carstensen","orcid":"https://orcid.org/0000-0002-2535-3908"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J.M. Carstensen","raw_affiliation_strings":["Infomatics and Mathematical Modelling, Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Infomatics and Mathematical Modelling, Lyngby, Denmark","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081499551"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7206,"has_fulltext":false,"cited_by_count":104,"citation_normalized_percentile":{"value":0.94456319,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"9","first_page":"1215","last_page":"1225"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9966999888420105,"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/factorization","display_name":"Factorization","score":0.7435396909713745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7105423808097839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5535392165184021},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5199140906333923},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.44685864448547363},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.43477392196655273},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42799267172813416},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4225146472454071},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35180848836898804},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2661935091018677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18395739793777466}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7435396909713745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7105423808097839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5535392165184021},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5199140906333923},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.44685864448547363},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.43477392196655273},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42799267172813416},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4225146472454071},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35180848836898804},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2661935091018677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18395739793777466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2002.1033213","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2002.1033213","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:2d099cf6-85e0-40e2-820d-6005016ce94b","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/330076","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1939-3539","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/fba63776-eb28-4ae4-85f6-ef0cdfa370b6","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/fba63776-eb28-4ae4-85f6-ef0cdfa370b6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Aan\u00e6s , H , Fisker , R , \u00c5str\u00f6m , K &amp; Carstensen , J M 2002 , ' Robust factorization ' , I E E E Transactions on Pattern Analysis and Machine Intelligence , vol. 24 , no. 9 , pp. 1215-1225 . https://doi.org/10.1109/TPAMI.2002.1033213","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/fba63776-eb28-4ae4-85f6-ef0cdfa370b6","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/fba63776-eb28-4ae4-85f6-ef0cdfa370b6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Aan\u00e6s , H , Fisker , R , \u00c5str\u00f6m , K &amp; Carstensen , J M 2002 , ' Robust factorization ' , I E E E Transactions on Pattern Analysis and Machine Intelligence , vol. 24 , no. 9 , pp. 1215-1225 . https://doi.org/10.1109/TPAMI.2002.1033213","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W988466463","https://openalex.org/W1516172206","https://openalex.org/W1550772144","https://openalex.org/W1575387439","https://openalex.org/W1797446837","https://openalex.org/W1976595761","https://openalex.org/W1985412770","https://openalex.org/W1989167963","https://openalex.org/W2005136695","https://openalex.org/W2005929595","https://openalex.org/W2011891945","https://openalex.org/W2025160417","https://openalex.org/W2032618685","https://openalex.org/W2038210983","https://openalex.org/W2051035927","https://openalex.org/W2056641273","https://openalex.org/W2078409719","https://openalex.org/W2088115584","https://openalex.org/W2088616581","https://openalex.org/W2107105829","https://openalex.org/W2117083552","https://openalex.org/W2118154608","https://openalex.org/W2124313187","https://openalex.org/W2138835141","https://openalex.org/W2146201632","https://openalex.org/W2147000446","https://openalex.org/W2151812852","https://openalex.org/W2489602016","https://openalex.org/W2618417121","https://openalex.org/W2989128237","https://openalex.org/W4210306310","https://openalex.org/W4234333941","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2794559785","https://openalex.org/W2950281908","https://openalex.org/W1754499339","https://openalex.org/W2013873776","https://openalex.org/W1975289146","https://openalex.org/W2583828359","https://openalex.org/W3102011585","https://openalex.org/W2963117165","https://openalex.org/W1973739845","https://openalex.org/W119752240"],"abstract_inverted_index":{"Factorization":[0],"algorithms":[1,42],"for":[2,39,59,82,116],"recovering":[3],"structure":[4],"and":[5,55,78,88,102,160],"motion":[6],"from":[7],"an":[8,61],"image":[9],"stream":[10],"have":[11],"many":[12],"advantages,":[13],"but":[14],"they":[15],"usually":[16],"require":[17],"a":[18,24,37,53,113,134,143,150],"set":[19,25],"of":[20,74,123,136],"well-tracked":[21],"features.":[22,50,85,107],"Such":[23],"is":[26,35,156],"in":[27,31,47,65,153],"generally":[28],"not":[29],"available":[30],"practical":[32],"applications.":[33],"There":[34],"thus":[36],"need":[38],"making":[40],"factorization":[41,67,92,125,139,173],"deal":[43,95],"effectively":[44,96],"with":[45,97],"errors":[46],"the":[48,66,72,83,91,105,124,137],"tracked":[49],"We":[51],"propose":[52],"new":[54,114],"computationally":[56],"efficient":[57],"algorithm":[58,70,129],"applying":[60],"arbitrary":[62,79],"error":[63,154],"function":[64],"scheme.":[68],"This":[69],"enables":[71],"use":[73],"robust":[75],"statistical":[76],"techniques":[77,87],"noise":[80,103],"models":[81,89],"individual":[84,106],"These":[86],"enable":[90],"scheme":[93,165],"to":[94,170],"mismatched":[98],"features,":[99,101],"missing":[100],"on":[104,147,158],"The":[108,127,163],"proposed":[109,128,164],"approach":[110],"further":[111],"includes":[112],"method":[115],"Euclidean":[117],"reconstruction":[118],"that":[119],"significantly":[120],"improves":[121],"convergence":[122],"algorithms.":[126,174],"has":[130],"been":[131],"implemented":[132],"as":[133],"modification":[135],"Christy-Horaud":[138],"scheme,":[140],"which":[141],"yields":[142],"perspective":[144],"reconstruction.":[145],"Based":[146],"this":[148],"implementation,":[149],"considerable":[151],"increase":[152],"tolerance":[155],"demonstrated":[157],"real":[159],"synthetic":[161],"data.":[162],"can,":[166],"however,":[167],"be":[168],"applied":[169],"most":[171],"other":[172]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
