{"id":"https://openalex.org/W2163563591","doi":"https://doi.org/10.1109/icpr.2008.4761012","title":"A factorization algorithm for trifocal tensor estimation","display_name":"A factorization algorithm for trifocal tensor estimation","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2163563591","doi":"https://doi.org/10.1109/icpr.2008.4761012","mag":"2163563591"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2008.4761012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761012","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"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":"2008 19th International Conference on 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/A5100456518","display_name":"Liang Wang","orcid":"https://orcid.org/0000-0002-3247-1080"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"L. Wang","raw_affiliation_strings":["NLPR, Institute of Automation, Chinese Academy and Sciences, Beijing, China","School of EI&CE, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"NLPR, Institute of Automation, Chinese Academy and Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150"]},{"raw_affiliation_string":"School of EI&CE, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069517234","display_name":"Fangli Wu","orcid":"https://orcid.org/0009-0001-4912-5221"},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"F.C. Wu","raw_affiliation_strings":["NLPR, Institute of Automation, Chinese Academy and Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"NLPR, Institute of Automation, Chinese Academy and Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210112150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100456518"],"corresponding_institution_ids":["https://openalex.org/I37796252","https://openalex.org/I4210112150"],"apc_list":null,"apc_paid":null,"fwci":0.8633,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68843683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9986000061035156,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.998199999332428,"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/algorithm","display_name":"Algorithm","score":0.6526916027069092},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6042338013648987},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5973175168037415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.586592435836792},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5199447870254517},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43708494305610657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3308880925178528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31612181663513184}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6526916027069092},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6042338013648987},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5973175168037415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.586592435836792},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5199447870254517},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43708494305610657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3308880925178528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31612181663513184},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icpr.2008.4761012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761012","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"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":"2008 19th International Conference on Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.5908","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.5908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://figment.cse.usf.edu/~sfefilat/data/papers/MoBT8.23.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W51443812","https://openalex.org/W1485855073","https://openalex.org/W1549739843","https://openalex.org/W1848858524","https://openalex.org/W1926350247","https://openalex.org/W2033819227","https://openalex.org/W2102481828","https://openalex.org/W2110665776","https://openalex.org/W2137638987","https://openalex.org/W2153119021","https://openalex.org/W2170026011","https://openalex.org/W3021282624"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2794559785","https://openalex.org/W2950281908","https://openalex.org/W1754499339","https://openalex.org/W2544423928","https://openalex.org/W2013873776","https://openalex.org/W2053286651","https://openalex.org/W1973739845","https://openalex.org/W119752240"],"abstract_inverted_index":{"Trifocal":[0],"tensor":[1,26,45],"encapsulates":[2],"the":[3,56,59,84],"geometric":[4],"constraints":[5],"between":[6],"three":[7],"views.":[8],"It":[9],"plays":[10],"an":[11,69],"important":[12],"role":[13],"in":[14,19,68],"computer":[15],"vision.":[16],"However":[17],"elements":[18],"measurement":[20,33,38],"matrix":[21],"of":[22,31,43,63,104],"existing":[23],"linear":[24,99,105],"trifocal":[25,44],"estimation":[27,46],"algorithms":[28],"are":[29,74],"products":[30],"several":[32],"data,":[34],"which":[35,49],"can":[36,50],"amplify":[37],"error.":[39],"The":[40],"factorization":[41,64],"algorithm":[42,65,86,100],"is":[47,87],"presented,":[48],"overcome":[51,55],"this":[52],"shortcoming.":[53],"To":[54],"deficiency":[57],"that":[58,83],"extended":[60],"solution":[61],"space":[62],"may":[66],"result":[67],"unstable":[70],"solution,":[71],"some":[72],"modifications":[73],"adopted.":[75],"Synthetic":[76],"and":[77,89],"real":[78],"image":[79],"data":[80],"experiments":[81],"show":[82],"proposed":[85],"accurate":[88],"robust.":[90],"This":[91],"provides":[92],"a":[93],"new":[94],"way":[95],"different":[96],"from":[97],"normalized":[98],"to":[101],"improve":[102],"performance":[103],"algorithm.":[106]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}