{"id":"https://openalex.org/W2029518629","doi":"https://doi.org/10.1109/cvpr.2010.5539784","title":"Admissible linear map models of linear cameras","display_name":"Admissible linear map models of linear cameras","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2029518629","doi":"https://doi.org/10.1109/cvpr.2010.5539784","mag":"2029518629"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2010.5539784","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539784","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00517899","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062594361","display_name":"Guillaume Batog","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guillaume Batog","raw_affiliation_strings":["Vegas project-team, LORIA, CNRS/INPL/INRIA/UHP/Nancy 2 UMR 7503, Villers-les-Nancy, France","Universit\u00e9 de Nancy 2"],"affiliations":[{"raw_affiliation_string":"Vegas project-team, LORIA, CNRS/INPL/INRIA/UHP/Nancy 2 UMR 7503, Villers-les-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I4210127166"]},{"raw_affiliation_string":"Universit\u00e9 de Nancy 2","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021289985","display_name":"Xavier Goaoc","orcid":"https://orcid.org/0000-0002-4331-7169"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Goaoc","raw_affiliation_strings":["Vegas project-team, LORIA, CNRS/INPL/INRIA/UHP/Nancy 2 UMR 7503, Villers-les-Nancy, France","[Inria Nancy Grand Est]"],"affiliations":[{"raw_affiliation_string":"Vegas project-team, LORIA, CNRS/INPL/INRIA/UHP/Nancy 2 UMR 7503, Villers-les-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I4210127166"]},{"raw_affiliation_string":"[Inria Nancy Grand Est]","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111964058","display_name":"Jean Ponce","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["BI","FR"],"is_corresponding":false,"raw_author_name":"Jean Ponce","raw_affiliation_strings":["Willow project-team, LIENS, Ecole Normale Sup\u00e9rieure, LIENS (CNRS/ENS/INRIA UMR 8548), Paris, France","\u00c9cole Normale sup\u00e9rieure"],"affiliations":[{"raw_affiliation_string":"Willow project-team, LIENS, Ecole Normale Sup\u00e9rieure, LIENS (CNRS/ENS/INRIA UMR 8548), Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"\u00c9cole Normale sup\u00e9rieure","institution_ids":["https://openalex.org/I4210103330","https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062594361"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210121838","https://openalex.org/I4210127166","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.6374,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69626509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1578","last_page":"1585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994000196456909,"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":0.9994000196456909,"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/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.9473000168800354,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9449999928474426,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/epipolar-geometry","display_name":"Epipolar geometry","score":0.8772327899932861},{"id":"https://openalex.org/keywords/fundamental-matrix","display_name":"Fundamental matrix (linear differential equation)","score":0.6424823999404907},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5653870701789856},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5335636138916016},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.514867901802063},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5054819583892822},{"id":"https://openalex.org/keywords/oblique-case","display_name":"Oblique case","score":0.5024464130401611},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49117156863212585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48206406831741333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4720345735549927},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.4389263391494751},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3498407006263733},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2649400234222412},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.22996830940246582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19617438316345215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09940299391746521}],"concepts":[{"id":"https://openalex.org/C23379248","wikidata":"https://www.wikidata.org/wiki/Q200904","display_name":"Epipolar geometry","level":3,"score":0.8772327899932861},{"id":"https://openalex.org/C2780427248","wikidata":"https://www.wikidata.org/wiki/Q17014996","display_name":"Fundamental matrix (linear differential equation)","level":2,"score":0.6424823999404907},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5653870701789856},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5335636138916016},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.514867901802063},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5054819583892822},{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.5024464130401611},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49117156863212585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48206406831741333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4720345735549927},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.4389263391494751},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3498407006263733},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2649400234222412},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.22996830940246582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19617438316345215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09940299391746521},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2010.5539784","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539784","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:inria-00517899v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00517899","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"23rd IEEE Conference on Computer Vision and Pattern Recognition - CVPR 2010, Jun 2010, San Francisco, United States. pp.1578 - 1585, ⟨10.1109/CVPR.2010.5539784⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00517899v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00517899","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"23rd IEEE Conference on Computer Vision and Pattern Recognition - CVPR 2010, Jun 2010, San Francisco, United States. pp.1578 - 1585, ⟨10.1109/CVPR.2010.5539784⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1564550597","https://openalex.org/W1601864594","https://openalex.org/W1907649404","https://openalex.org/W1989630219","https://openalex.org/W1998999651","https://openalex.org/W2097181751","https://openalex.org/W2121803203","https://openalex.org/W2124323475","https://openalex.org/W2127682127","https://openalex.org/W2145970353","https://openalex.org/W2146716365","https://openalex.org/W2148162135","https://openalex.org/W2738823040","https://openalex.org/W3045317382","https://openalex.org/W3046229330","https://openalex.org/W3126588943","https://openalex.org/W3143481969","https://openalex.org/W3148471328","https://openalex.org/W6681942875"],"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/W2134012606","https://openalex.org/W2364478685"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,8,26,37,46,79,119],"complete":[4],"analytical":[5,96],"characterization":[6],"of":[7,11,28,40,49,60,82,110,140],"large":[9],"class":[10],"central":[12],"and":[13,62,64,85,100],"non-central":[14],"imaging":[15],"devices":[16],"dubbed":[17],"linear":[18,41,72,89,113],"cameras":[19,55,68,90,114,132],"by":[20,36,118,136],"Ponce.":[21],"Pajdla":[22],"has":[23],"shown":[24],"that":[25,53,66,106],"subset":[27],"these,":[29],"the":[30,57,71,107,131],"oblique":[31],"cameras,":[32],"can":[33,115],"be":[34,116],"modelled":[35],"certain":[38],"type":[39],"map.":[42],"We":[43,103],"give":[44,94],"here":[45],"full":[47],"tabulation":[48],"all":[50],"admissible":[51],"maps":[52],"induce":[54],"in":[56],"general":[58],"sense":[59],"Grossberg":[61],"Nayar,":[63],"show":[65,105],"these":[67,75],"are":[69,133,151],"exactly":[70],"ones.":[73],"Combining":[74],"two":[76,112],"models":[77],"with":[78],"new":[80],"notion":[81],"intrinsic":[83],"parameters":[84,150],"normalized":[86],"coordinates":[87],"for":[88,98,156],"allows":[91],"us":[92],"to":[93],"simple":[95],"formulas":[97],"direct":[99],"inverse":[101],"projections.":[102],"also":[104],"epipolar":[108],"geometry":[109],"any":[111],"characterized":[117],"fundamental":[120],"matrix":[121,139],"whose":[122],"size":[123,141],"is":[124],"at":[125,142],"most":[126,143],"6":[127,129],"\u00d7":[128,145],"when":[130,147],"uncalibrated,":[134],"or":[135],"an":[137],"essential":[138],"4":[144,146],"their":[148],"internal":[149],"known.":[152],"Similar":[153],"results":[154],"hold":[155],"trinocular":[157],"constraints.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}