{"id":"https://openalex.org/W2059634585","doi":"https://doi.org/10.1109/cvpr.2011.5995352","title":"A branch and contract algorithm for globally optimal fundamental matrix estimation","display_name":"A branch and contract algorithm for globally optimal fundamental matrix estimation","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2059634585","doi":"https://doi.org/10.1109/cvpr.2011.5995352","mag":"2059634585"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2011.5995352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","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/A5100698163","display_name":"Yinqiang Zheng","orcid":"https://orcid.org/0000-0001-7434-5069"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yinqiang Zheng","raw_affiliation_strings":["Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","Department of Mechanical & Control Engineering, Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mechanical & Control Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113734997","display_name":"Shigeki Sugimoto","orcid":"https://orcid.org/0000-0002-5724-3500"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shigeki Sugimoto","raw_affiliation_strings":["Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","Department of Mechanical & Control Engineering, Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mechanical & Control Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024453747","display_name":"Masatoshi Okutomi","orcid":"https://orcid.org/0000-0001-5787-0742"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masatoshi Okutomi","raw_affiliation_strings":["Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","Department of Mechanical & Control Engineering, Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mechanical & Control Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100698163"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":1.7611,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84238589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2953","last_page":"2960"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987999796867371,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/linearization","display_name":"Linearization","score":0.5957686305046082},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5711939334869385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5465525984764099},{"id":"https://openalex.org/keywords/fundamental-matrix","display_name":"Fundamental matrix (linear differential equation)","score":0.5019235610961914},{"id":"https://openalex.org/keywords/epipolar-geometry","display_name":"Epipolar geometry","score":0.4697093367576599},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.443744957447052},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4371926486492157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.412568062543869},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30898338556289673},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.30139678716659546},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12021267414093018},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10831570625305176}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5957686305046082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5711939334869385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5465525984764099},{"id":"https://openalex.org/C2780427248","wikidata":"https://www.wikidata.org/wiki/Q17014996","display_name":"Fundamental matrix (linear differential equation)","level":2,"score":0.5019235610961914},{"id":"https://openalex.org/C23379248","wikidata":"https://www.wikidata.org/wiki/Q200904","display_name":"Epipolar geometry","level":3,"score":0.4697093367576599},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.443744957447052},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4371926486492157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.412568062543869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30898338556289673},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.30139678716659546},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12021267414093018},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10831570625305176},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2011.5995352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2011.5995352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"CVPR 2011","raw_type":"proceedings-article"},{"id":"pmh:oai:irdb.nii.ac.jp:00897:0004048505","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100624582","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR2011)","raw_type":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W40231621","https://openalex.org/W73684325","https://openalex.org/W1491470236","https://openalex.org/W1538999574","https://openalex.org/W1575387439","https://openalex.org/W1967073510","https://openalex.org/W2022144657","https://openalex.org/W2026063499","https://openalex.org/W2033819227","https://openalex.org/W2102481828","https://openalex.org/W2105340458","https://openalex.org/W2113914039","https://openalex.org/W2115001439","https://openalex.org/W2124600794","https://openalex.org/W2125938196","https://openalex.org/W2128656531","https://openalex.org/W2128972574","https://openalex.org/W2134330234","https://openalex.org/W2139583471","https://openalex.org/W2145713909","https://openalex.org/W2149365067","https://openalex.org/W2160446313","https://openalex.org/W2162483208","https://openalex.org/W2164397085","https://openalex.org/W2165584048","https://openalex.org/W2548817029","https://openalex.org/W4285719527","https://openalex.org/W6603044299","https://openalex.org/W6729414346"],"related_works":["https://openalex.org/W1533134004","https://openalex.org/W1990472106","https://openalex.org/W2755641224","https://openalex.org/W2394408411","https://openalex.org/W4221132921","https://openalex.org/W4210643770","https://openalex.org/W2336873990","https://openalex.org/W2106530324","https://openalex.org/W2364478685","https://openalex.org/W2134012606"],"abstract_inverted_index":{"We":[0,69],"propose":[1],"a":[2,41,93],"unified":[3],"branch":[4,87],"and":[5,30,36,65,73,80,88,114],"contract":[6],"method":[7],"to":[8,26,99,129,167,174],"estimate":[9],"the":[10,20,24,33,46,82,86,101,104,108,122,130,138,159,165,175],"fundamental":[11,47],"matrix":[12,48],"with":[13],"guaranteed":[14],"global":[15,162],"optimality,":[16],"by":[17],"minimizing":[18],"either":[19],"Sampson":[21,176],"error":[22,177],"or":[23],"point":[25,166],"epipolar":[27,168],"line":[28,169],"distance,":[29],"explicitly":[31],"handling":[32],"rank-2":[34],"constraint":[35],"scale":[37],"ambiguity.":[38],"Based":[39],"on":[40],"novel":[42],"denominator":[43],"linearization":[44],"strategy,":[45],"estimation":[49],"problem":[50,57,83],"can":[51],"be":[52],"transformed":[53],"into":[54,143],"an":[55],"equivalent":[56],"that":[58,121,164],"involves":[59],"9":[60],"squared":[61],"univariate,":[62],"12":[63],"bilinear":[64],"6":[66],"trilin-ear":[67],"terms.":[68],"build":[70],"tight":[71],"convex":[72],"concave":[74],"relaxations":[75],"for":[76],"these":[77],"nonconvex":[78],"terms":[79],"solve":[81],"deterministically":[84],"under":[85],"bound":[89,94],"framework.":[90],"For":[91],"acceleration,":[92],"contraction":[95],"mechanism":[96],"is":[97,171],"introduced":[98],"reduce":[100],"size":[102],"of":[103,140,148,161,180],"branching":[105],"region":[106],"at":[107],"root":[109],"node.":[110],"Given":[111],"high-quality":[112],"correspondences":[113],"proper":[115],"data":[116],"normalization,":[117],"our":[118],"experiments":[119],"show":[120],"state-of-the-art":[123],"locally":[124],"optimal":[125,132],"methods":[126],"generally":[127],"converge":[128],"globally":[131],"solution.":[133],"However,":[134],"they":[135],"indeed":[136],"have":[137],"risk":[139],"being":[141],"trapped":[142],"local":[144],"minimum":[145],"in":[146,178],"case":[147,179],"noise.":[149],"As":[150],"another":[151],"important":[152],"experimental":[153],"result,":[154],"we":[155],"also":[156],"demonstrate,":[157],"from":[158],"viewpoint":[160],"optimization,":[163],"distance":[170],"slightly":[172],"inferior":[173],"drastically":[181],"varying":[182],"object":[183],"scales":[184],"across":[185],"two":[186],"views.":[187]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
