{"id":"https://openalex.org/W2143770393","doi":"https://doi.org/10.1109/cvpr.1997.609328","title":"The confounding of translation and rotation in reconstruction from multiple views","display_name":"The confounding of translation and rotation in reconstruction from multiple views","publication_year":2002,"publication_date":"2002-11-22","ids":{"openalex":"https://openalex.org/W2143770393","doi":"https://doi.org/10.1109/cvpr.1997.609328","mag":"2143770393"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.1997.609328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.1997.609328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of IEEE Computer Society Conference on Computer Vision and 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/A5083553427","display_name":"Cornelia Ferm\u00fcller","orcid":"https://orcid.org/0000-0003-2044-2386"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Fermuller","raw_affiliation_strings":["Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA","Comput. Vision Lab., Maryland Univ., College Park, MD, USA"],"affiliations":[{"raw_affiliation_string":"Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Comput. Vision Lab., Maryland Univ., College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036912867","display_name":"Yiannis Aloimonos","orcid":"https://orcid.org/0000-0002-8152-4281"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Aloimonos","raw_affiliation_strings":["Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA","[Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA]"],"affiliations":[{"raw_affiliation_string":"Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"[Computer Vision Laboratory Center for Automation Research Institute for Advanced Computer Studies and the Computer Science Department, University of Maryland, College Park, MD, USA]","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083553427"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.2313,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.54120089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"250","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":1.0,"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":1.0,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9973999857902527,"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/translation","display_name":"Translation (biology)","score":0.8155072927474976},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.7152590751647949},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5757400989532471},{"id":"https://openalex.org/keywords/rotation-around-a-fixed-axis","display_name":"Rotation around a fixed axis","score":0.5279055237770081},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.487310528755188},{"id":"https://openalex.org/keywords/motion-field","display_name":"Motion field","score":0.4837627410888672},{"id":"https://openalex.org/keywords/image-plane","display_name":"Image plane","score":0.4781452417373657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46767458319664},{"id":"https://openalex.org/keywords/optical-flow","display_name":"Optical flow","score":0.4556581676006317},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.42951980233192444},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4265238344669342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3730214238166809},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.3663579225540161},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3537554144859314},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33567023277282715},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30111053586006165},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.28830504417419434},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.13513639569282532}],"concepts":[{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.8155072927474976},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.7152590751647949},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5757400989532471},{"id":"https://openalex.org/C6342182","wikidata":"https://www.wikidata.org/wiki/Q2995427","display_name":"Rotation around a fixed axis","level":2,"score":0.5279055237770081},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.487310528755188},{"id":"https://openalex.org/C124774092","wikidata":"https://www.wikidata.org/wiki/Q6917782","display_name":"Motion field","level":3,"score":0.4837627410888672},{"id":"https://openalex.org/C120515352","wikidata":"https://www.wikidata.org/wiki/Q2564580","display_name":"Image plane","level":3,"score":0.4781452417373657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46767458319664},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.4556581676006317},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.42951980233192444},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4265238344669342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3730214238166809},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.3663579225540161},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3537554144859314},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33567023277282715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30111053586006165},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.28830504417419434},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.13513639569282532},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cvpr.1997.609328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.1997.609328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W95054652","https://openalex.org/W1548596190","https://openalex.org/W1991518198","https://openalex.org/W2012929831","https://openalex.org/W2113277443","https://openalex.org/W2118334653","https://openalex.org/W2162373368","https://openalex.org/W2179278902","https://openalex.org/W3022352042","https://openalex.org/W3151003670"],"related_works":["https://openalex.org/W2354637046","https://openalex.org/W4286646204","https://openalex.org/W2093488518","https://openalex.org/W2035871094","https://openalex.org/W2605450561","https://openalex.org/W2116975878","https://openalex.org/W1971668557","https://openalex.org/W2390401564","https://openalex.org/W2130897820","https://openalex.org/W2129639887"],"abstract_inverted_index":{"If":[0],"3D":[1],"rigid":[2,82],"motion":[3,237],"is":[4,100,110,123,129,176,189],"estimated":[5,75,154,203],"with":[6],"some":[7,107],"error":[8,188],"a":[9,81,90,119,158,166,170,182],"distorted":[10],"version":[11],"of":[12,52,80,89,93,103,134,149,211,228],"the":[13,30,35,45,53,59,67,71,74,87,101,104,126,132,135,141,147,150,153,162,173,177,192,200,209],"scene":[14,46],"structure":[15,216],"will":[16],"in":[17,27,40,50,63,73,86,215,236],"turn":[18],"be":[19,43],"computed.":[20],"Of":[21],"computational":[22],"interest":[23],"are":[24,32,144],"these":[25],"regions":[26],"space":[28],"where":[29],"distortions":[31],"such":[33],"that":[34,84,125],"depths":[36],"become":[37],"negative,":[38],"because":[39],"order":[41],"to":[42,48,191,223],"visible":[44],"has":[47],"lie":[49,156],"front":[51],"image.":[54],"The":[55,97,185,205],"stability":[56],"analysis":[57],"for":[58],"structure-from-motion":[60],"problem":[61],"presented":[62],"this":[64],"paper":[65],"investigates":[66],"optimal":[68,127,174,186],"relationship":[69],"between":[70],"errors":[72,139],"translational":[76,136,183,193],"and":[77,137,152,202,213,230,238],"rotational":[78,138,171,187],"parameters":[79],"motion,":[83,218],"results":[85],"estimation":[88],"minimum":[91],"number":[92],"negative":[94],"depth":[95],"values.":[96],"input":[98],"used":[99],"value":[102],"flow":[105,115],"along":[106],"direction,":[108],"which":[109],"more":[111],"general":[112],"than":[113],"optic":[114],"or":[116,233],"correspondence.":[117],"For":[118,165],"planar":[120,229],"retina":[121,168],"it":[122],"shown":[124],"configuration":[128],"achieved":[130],"when":[131],"projections":[133],"on":[140,157],"image":[142,163],"plane":[143],"perpendicular.":[145],"Furthermore,":[146],"projection":[148],"actual":[151],"translation":[155,175,212],"line":[159],"passing":[160],"through":[161],"center.":[164],"spherical":[167,231],"given":[169,181],"error,":[172],"correct":[178],"one,":[179],"while":[180],"error.":[184],"normal":[190],"one":[194],"at":[195],"an":[196,220],"equal":[197],"distance":[198],"from":[199,217],"real":[201],"translations.":[204],"proofs,":[206],"besides":[207],"illuminating":[208],"confounding":[210],"rotation":[214],"have":[219],"important":[221],"application":[222],"ecological":[224],"optics,":[225],"explaining":[226],"differences":[227],"eye":[232],"camera":[234],"designs":[235],"shape":[239],"estimation.":[240]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
