{"id":"https://openalex.org/W2130156102","doi":"https://doi.org/10.1109/cvpr.1999.784661","title":"Critical motions in euclidean structure from motion","display_name":"Critical motions in euclidean structure from motion","publication_year":2003,"publication_date":"2003-01-20","ids":{"openalex":"https://openalex.org/W2130156102","doi":"https://doi.org/10.1109/cvpr.1999.784661","mag":"2130156102"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.1999.784661","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.inria.fr/inria-00548315/file/Triggs-cvpr99.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112556001","display_name":"Fredrik Kahl","orcid":null},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"F. Kahl","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062363302","display_name":"Bill Triggs","orcid":"https://orcid.org/0000-0003-4116-6296"},"institutions":[{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"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":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Triggs","raw_affiliation_strings":["INRIA Rh\u00f4ne-Alpes, Montbonnot, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rh\u00f4ne-Alpes, Montbonnot, France","institution_ids":["https://openalex.org/I4210101348","https://openalex.org/I1326498283"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.466,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":38,"citation_normalized_percentile":{"value":0.877847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":null,"issue":null,"first_page":"366","last_page":"372"},"is_retracted":false,"is_paratext":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/T10638","display_name":"Optical measurement and interference techniques","score":0.9995,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9985,"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":[],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.78804255},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6688955},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.61885464},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5609675},{"id":"https://openalex.org/C82552819","wikidata":"https://www.wikidata.org/wiki/Q193540","display_name":"Focal length","level":3,"score":0.48329},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.47337812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44680867},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4319099},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.43132663},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.42367274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41830447},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4171959},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.387008},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3494328},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32341892},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19872072},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1742037},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16422424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16231415},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.1999.784661","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/inria-00548315/file/Triggs-cvpr99.pdf","pdf_url":"https://hal.inria.fr/inria-00548315/file/Triggs-cvpr99.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/inria-00548315/document","pdf_url":"https://hal.inria.fr/inria-00548315/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/inria-00548315","pdf_url":"https://inria.hal.science/inria-00548315/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00548315/file/Triggs-cvpr99.pdf","pdf_url":"https://inria.hal.science/inria-00548315/file/Triggs-cvpr99.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.6055","pdf_url":"http://perception.inrialpes.fr/Publications/1999/KT99/Triggs-cvpr99.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.inria.fr/inria-00548315/file/Triggs-cvpr99.pdf","pdf_url":"https://hal.inria.fr/inria-00548315/file/Triggs-cvpr99.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":24,"referenced_works":["https://openalex.org/W1482517735","https://openalex.org/W1530454533","https://openalex.org/W1548596190","https://openalex.org/W1643242358","https://openalex.org/W1660742177","https://openalex.org/W190902871","https://openalex.org/W1943823759","https://openalex.org/W1960801737","https://openalex.org/W2000316314","https://openalex.org/W2054662573","https://openalex.org/W2061897535","https://openalex.org/W2065592949","https://openalex.org/W2070621319","https://openalex.org/W2117083552","https://openalex.org/W2119577120","https://openalex.org/W2125626606","https://openalex.org/W2134211982","https://openalex.org/W2135960718","https://openalex.org/W2150623853","https://openalex.org/W2151285962","https://openalex.org/W2168080203","https://openalex.org/W2285209034","https://openalex.org/W3022352042","https://openalex.org/W3144490100"],"related_works":["https://openalex.org/W4308096411","https://openalex.org/W4286458607","https://openalex.org/W2590472383","https://openalex.org/W2384327295","https://openalex.org/W2363838046","https://openalex.org/W2221738209","https://openalex.org/W2154208569","https://openalex.org/W2102480273","https://openalex.org/W2004106894","https://openalex.org/W1452503678"],"abstract_inverted_index":{"We":[0,81],"investigate":[1],"the":[2,49,54,87,93],"motions":[3,23],"that":[4],"lead":[5],"to":[6,52],"ambiguous":[7],"Euclidean":[8],"scene":[9],"reconstructions":[10],"under":[11],"several":[12],"common":[13],"calibration":[14],"constraints,":[15],"giving":[16],"a":[17],"complete":[18],"description":[19],"of":[20,48,56,65,89],"such":[21],"critical":[22],"for:":[24],"(i)":[25],"internally":[26],"calibrated":[27],"orthographic":[28],"and":[29,79,95],"perspective":[30],"cameras;":[31],"(ii)":[32],"in":[33],"two":[34],"images,":[35],"for":[36,61,92],"cameras":[37],"with":[38],"unknown":[39],"focal":[40,97],"lengths,":[41],"either":[42],"different":[43],"or":[44],"equal.":[45],"One":[46],"aim":[47],"work":[50],"was":[51],"evaluate":[53],"potential":[55],"modern":[57],"algebraic":[58],"geometry":[59],"tools":[60],"rigorously":[62],"proving":[63],"properties":[64],"vision":[66],"algorithms,":[67],"so":[68],"we":[69],"use":[70],"ideal":[71],"theoretic":[72],"calculations":[73],"as":[74,76],"well":[75],"classical":[77],"algebra":[78],"geometry.":[80],"also":[82],"present":[83],"numerical":[84],"experiments":[85],"showing":[86],"effects":[88],"near-critical":[90],"configurations":[91],"varying":[94],"fixed":[96],"length":[98],"methods.":[99]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2130156102","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2024-12-10T21:58:03.863414","created_date":"2016-06-24"}