{"id":"https://openalex.org/W2103234384","doi":"https://doi.org/10.1109/cvpr.2008.4587796","title":"Conjugate rotation: Parameterization and estimation from an affine feature correspondence","display_name":"Conjugate rotation: Parameterization and estimation from an affine feature correspondence","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2103234384","doi":"https://doi.org/10.1109/cvpr.2008.4587796","mag":"2103234384"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2008.4587796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE 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/A5091610351","display_name":"Kevin K\u00f6ser","orcid":"https://orcid.org/0000-0002-0974-3834"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kevin Koser","raw_affiliation_strings":["Christian-Albrechts University, Kiel, Germany","Christian-Albrechts Univ., Kiel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Christian-Albrechts University, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Christian-Albrechts Univ., Kiel","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012183963","display_name":"Christian Beder","orcid":"https://orcid.org/0000-0001-8485-019X"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Beder","raw_affiliation_strings":["Christian-Albrechts University, Kiel, Germany","Christian-Albrechts Univ., Kiel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Christian-Albrechts University, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Christian-Albrechts Univ., Kiel","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040944275","display_name":"Reinhard Koch","orcid":"https://orcid.org/0000-0003-4398-1569"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Reinhard Koch","raw_affiliation_strings":["Christian-Albrechts University, Kiel, Germany","Christian-Albrechts Univ., Kiel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Christian-Albrechts University, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Christian-Albrechts Univ., Kiel","institution_ids":["https://openalex.org/I32021983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.485,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89972342,"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":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9998999834060669,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9998999834060669,"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":0.9998000264167786,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9993000030517578,"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/affine-transformation","display_name":"Affine transformation","score":0.8387291431427002},{"id":"https://openalex.org/keywords/homography","display_name":"Homography","score":0.7232553958892822},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6505071520805359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6009188294410706},{"id":"https://openalex.org/keywords/harris-affine-region-detector","display_name":"Harris affine region detector","score":0.5093759298324585},{"id":"https://openalex.org/keywords/affine-shape-adaptation","display_name":"Affine shape adaptation","score":0.5090079307556152},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5048845410346985},{"id":"https://openalex.org/keywords/conjugate-points","display_name":"Conjugate points","score":0.5005247592926025},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.471230149269104},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4410884380340576},{"id":"https://openalex.org/keywords/affine-hull","display_name":"Affine hull","score":0.4364451766014099},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.435309499502182},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.43447160720825195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35298073291778564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3517889380455017},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3388535678386688},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.3334241807460785},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.24913814663887024},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21275770664215088}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8387291431427002},{"id":"https://openalex.org/C28751775","wikidata":"https://www.wikidata.org/wiki/Q2112539","display_name":"Homography","level":4,"score":0.7232553958892822},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6505071520805359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6009188294410706},{"id":"https://openalex.org/C6408098","wikidata":"https://www.wikidata.org/wiki/Q17021115","display_name":"Harris affine region detector","level":5,"score":0.5093759298324585},{"id":"https://openalex.org/C18516315","wikidata":"https://www.wikidata.org/wiki/Q4688950","display_name":"Affine shape adaptation","level":4,"score":0.5090079307556152},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5048845410346985},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.5005247592926025},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.471230149269104},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4410884380340576},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.4364451766014099},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.435309499502182},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.43447160720825195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35298073291778564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3517889380455017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3388535678386688},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.3334241807460785},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.24913814663887024},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21275770664215088},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.0},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cvpr.2008.4587796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.217.4779","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.4779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mip.informatik.uni-kiel.de/~koeser/CVPR08_ConjugateRotation_preliminary.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.408.3320","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.408.3320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mplab.ucsd.edu/wp-content/uploads/cvpr2008/conference/data/papers/456.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W136050693","https://openalex.org/W1538389972","https://openalex.org/W1542253963","https://openalex.org/W1564161204","https://openalex.org/W1980911747","https://openalex.org/W1982980241","https://openalex.org/W2015443057","https://openalex.org/W2033819227","https://openalex.org/W2035379092","https://openalex.org/W2057045276","https://openalex.org/W2059412355","https://openalex.org/W2067435534","https://openalex.org/W2079341603","https://openalex.org/W2085261163","https://openalex.org/W2118877769","https://openalex.org/W2124404372","https://openalex.org/W2126060993","https://openalex.org/W2129076533","https://openalex.org/W2140650098","https://openalex.org/W2144794872","https://openalex.org/W2151103935","https://openalex.org/W2169886739","https://openalex.org/W2177274842","https://openalex.org/W4299685301","https://openalex.org/W6605623372","https://openalex.org/W6677548441"],"related_works":["https://openalex.org/W2184784635","https://openalex.org/W2038416447","https://openalex.org/W1510464305","https://openalex.org/W2077614002","https://openalex.org/W2347520500","https://openalex.org/W2106401644","https://openalex.org/W2165644674","https://openalex.org/W2016861691","https://openalex.org/W2079039086","https://openalex.org/W2036246238"],"abstract_inverted_index":{"When":[0],"rotating":[1],"a":[2,20,25,47,60,65,112,145,149,164],"pinhole":[3],"camera,":[4],"images":[5],"are":[6],"related":[7],"by":[8],"the":[9,70,91,124,155,166],"infinite":[10],"homography":[11],"KRK":[12],"<sup":[13],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[14],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-1</sup>":[15],",":[16],"which":[17,80,118],"is":[18,39,141],"algebraically":[19],"conjugate":[21,48,71,146],"rotation.":[22],"Although":[23],"being":[24],"very":[26],"common":[27],"image":[28,36,92],"transformation,":[29],"e.g.":[30],"important":[31],"for":[32,59],"self-calibration":[33],"or":[34],"panoramic":[35],"mosaicing,":[37],"it":[38,140],"not":[40,120],"completely":[41],"understood":[42],"yet.":[43],"We":[44,103],"show":[45,138],"that":[46,105,139],"rotation":[49,147],"has":[50,119],"7":[51],"degrees":[52],"of":[53,77,126,157],"freedom":[54],"(as":[55],"opposed":[56],"to":[57,90,143],"8":[58],"general":[61],"homography)":[62],"and":[63,160,174],"give":[64],"minimal":[66],"parameterization.":[67],"To":[68],"estimate":[69,144],"rotation,":[72,171],"authors":[73],"traditionally":[74],"made":[75],"use":[76],"point":[78],"correspondences,":[79],"can":[81],"be":[82],"seen":[83],"as":[84],"local":[85,113],"zero":[86,161],"order":[87,115],"Taylor":[88,116],"approximations":[89],"transformation.":[93],"Recently":[94],"however,":[95],"affine":[96,108,151],"feature":[97,152],"correspondences":[98],"have":[99],"become":[100],"increasingly":[101],"popular.":[102],"observe":[104],"each":[106],"such":[107],"correspondence":[109,153],"now":[110],"provides":[111],"first":[114],"approximation,":[117],"been":[121],"exploited":[122],"in":[123],"context":[125],"geometry":[127],"estimation":[128],"before.":[129],"Using":[130],"those":[131],"two":[132],"novel":[133],"concepts":[134],"above,":[135],"we":[136],"finally":[137],"possible":[142],"from":[148],"single":[150],"under":[154],"assumption":[156],"square":[158],"pixels":[159],"skew.":[162],"As":[163],"byproduct,":[165],"proposed":[167],"algorithm":[168],"directly":[169],"yields":[170],"focal":[172],"length":[173],"principal":[175],"point.":[176]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}