{"id":"https://openalex.org/W2151608291","doi":"https://doi.org/10.1109/cvpr.2008.4587694","title":"Coarse-to-fine low-rank structure-from-motion","display_name":"Coarse-to-fine low-rank structure-from-motion","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2151608291","doi":"https://doi.org/10.1109/cvpr.2008.4587694","mag":"2151608291"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2008.4587694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587694","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/A5027206821","display_name":"Adrien Bartoli","orcid":"https://orcid.org/0000-0003-3545-7329"},"institutions":[{"id":"https://openalex.org/I169645620","display_name":"Institut Pascal","ror":"https://ror.org/03vgfxd91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I169645620","https://openalex.org/I198244214","https://openalex.org/I4210095849"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Bartoli","raw_affiliation_strings":["Institut Pascal, Aubiere, Auvergne-Rh\u00c3\u00b4ne-Alpes, FR","Institut Pascal, Aubiere, Auvergne-Rh\u00f4ne-Alpes, FR"],"affiliations":[{"raw_affiliation_string":"Institut Pascal, Aubiere, Auvergne-Rh\u00c3\u00b4ne-Alpes, FR","institution_ids":["https://openalex.org/I169645620"]},{"raw_affiliation_string":"Institut Pascal, Aubiere, Auvergne-Rh\u00f4ne-Alpes, FR","institution_ids":["https://openalex.org/I169645620"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104435991","display_name":"Vincent Gay\u2010Bellile","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"V. Gay-Bellile","raw_affiliation_strings":["CEA/List, Saclay, France"],"affiliations":[{"raw_affiliation_string":"CEA/List, Saclay, France","institution_ids":["https://openalex.org/I4210085861","https://openalex.org/I2738703131"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070645298","display_name":"Umberto Castellani","orcid":"https://orcid.org/0000-0002-6099-5682"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"U. Castellani","raw_affiliation_strings":["VIP Sensors, Inc., Verona, Italy"],"affiliations":[{"raw_affiliation_string":"VIP Sensors, Inc., Verona, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024838993","display_name":"Jean Peyras","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Peyras","raw_affiliation_strings":["LASMEA, Clermont Ferrand, France"],"affiliations":[{"raw_affiliation_string":"LASMEA, Clermont Ferrand, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086277019","display_name":"S\u00f8ren Ingvor Olsen","orcid":"https://orcid.org/0000-0002-4466-1914"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Olsen","raw_affiliation_strings":["DIKU, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"DIKU, Copenhagen, Denmark","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004989150","display_name":"Patrick Sayd","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Sayd","raw_affiliation_strings":["CEA/List, Saclay, France"],"affiliations":[{"raw_affiliation_string":"CEA/List, Saclay, France","institution_ids":["https://openalex.org/I4210085861","https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5027206821"],"corresponding_institution_ids":["https://openalex.org/I169645620"],"apc_list":null,"apc_paid":null,"fwci":11.7054,"has_fulltext":false,"cited_by_count":119,"citation_normalized_percentile":{"value":0.98790193,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"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/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":0.9993000030517578,"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"}},{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.998199999332428,"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/smoothness","display_name":"Smoothness","score":0.6471669673919678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6405596733093262},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.6254897117614746},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5678448677062988},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5562072396278381},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5446443557739258},{"id":"https://openalex.org/keywords/active-shape-model","display_name":"Active shape model","score":0.5257019996643066},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4805105924606323},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4609793424606323},{"id":"https://openalex.org/keywords/structure-from-motion","display_name":"Structure from motion","score":0.45854002237319946},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42589879035949707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4189176559448242},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.41569292545318604},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.41108110547065735},{"id":"https://openalex.org/keywords/point-distribution-model","display_name":"Point distribution model","score":0.4110402464866638},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3389253616333008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29900825023651123},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1702660322189331},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08385929465293884},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.08072316646575928},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.07571077346801758}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6471669673919678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6405596733093262},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.6254897117614746},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5678448677062988},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5562072396278381},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5446443557739258},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.5257019996643066},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4805105924606323},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4609793424606323},{"id":"https://openalex.org/C146159030","wikidata":"https://www.wikidata.org/wiki/Q7625099","display_name":"Structure from motion","level":3,"score":0.45854002237319946},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42589879035949707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4189176559448242},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.41569292545318604},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.41108110547065735},{"id":"https://openalex.org/C118317068","wikidata":"https://www.wikidata.org/wiki/Q2100760","display_name":"Point distribution model","level":2,"score":0.4110402464866638},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3389253616333008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29900825023651123},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1702660322189331},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08385929465293884},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.08072316646575928},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.07571077346801758},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cvpr.2008.4587694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587694","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:pure.atira.dk:openaire_cris_publications/4ba3dfe0-4121-11dd-b7b4-000ea68e967b","is_oa":false,"landing_page_url":"https://curis.ku.dk/portal/da/publications/coarsetofine-lowrank-structurefrommotion(4ba3dfe0-4121-11dd-b7b4-000ea68e967b).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bartoli , A , Gay-Bellile , V , Castellani , U , Peyras , J , Olsen , S I & Sayd , P 2008 , Coarse-to-Fine Low-Rank Structure-from-Motion . in IEEE conference on Computer Vision and Pattern Recognition : CVPR 2008 . IEEE Communications Society , pp. 1-8 , IEEE International Conference on Computer Vision and Pattern Recognition , Anchorage , Canada , 24/06/2008 . https://doi.org/10.1109/CVPR.2008.4587694","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:pure.atira.dk:publications/4ba3dfe0-4121-11dd-b7b4-000ea68e967b","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/4ba3dfe0-4121-11dd-b7b4-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bartoli , A , Gay-Bellile , V , Castellani , U , Peyras , J , Olsen , S I & Sayd , P 2008 , Coarse-to-Fine Low-Rank Structure-from-Motion . in IEEE conference on Computer Vision and Pattern Recognition : CVPR 2008 . IEEE Communications Society , pp. 1-8 , IEEE International Conference on Computer Vision and Pattern Recognition , Anchorage , Canada , 24/06/2008 . https://doi.org/10.1109/CVPR.2008.4587694","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1479894977","https://openalex.org/W1493805623","https://openalex.org/W1494398706","https://openalex.org/W1578412938","https://openalex.org/W1868364455","https://openalex.org/W1950520880","https://openalex.org/W1965581703","https://openalex.org/W1991760821","https://openalex.org/W1992989752","https://openalex.org/W2033819227","https://openalex.org/W2097490787","https://openalex.org/W2101797550","https://openalex.org/W2121299550","https://openalex.org/W2124600577","https://openalex.org/W2125954773","https://openalex.org/W2603733831","https://openalex.org/W4300909272","https://openalex.org/W6629422248","https://openalex.org/W6640861363","https://openalex.org/W6677915421","https://openalex.org/W6678575335"],"related_works":["https://openalex.org/W2126962853","https://openalex.org/W2464585191","https://openalex.org/W2167243075","https://openalex.org/W2532906573","https://openalex.org/W2121756800","https://openalex.org/W1990603712","https://openalex.org/W1957945098","https://openalex.org/W2126348201","https://openalex.org/W2245350120","https://openalex.org/W2250899144"],"abstract_inverted_index":{"We":[0,17,37,163],"address":[1],"the":[2,19,24,45,62,78,84,93,116,127,134,142,153,159,181,184,205],"problem":[3],"of":[4,33,42,50,61,81,83,141,155,183],"deformable":[5],"shape":[6,21,26,35,47,87,94,118],"and":[7,119,173,191,200],"motion":[8],"recovery":[9],"from":[10],"point":[11],"correspondences":[12],"in":[13],"multiple":[14],"perspective":[15],"images.":[16],"use":[18],"low-rank":[20,46,86],"model,":[22,131],"i.e.":[23],"3D":[25],"is":[27,89],"represented":[28],"as":[29,53,69,158],"a":[30,39,54,58,70,108],"linear":[31],"combination":[32],"unknown":[34],"bases.":[36],"propose":[38,107,164],"new":[40],"way":[41],"looking":[43],"at":[44],"model.":[48],"Instead":[49],"considering":[51],"it":[52,148],"whole,":[55],"we":[56],"assume":[57],"coarse-to-fine":[59,109],"ordering":[60],"deformation":[63,122,156],"modes,":[64],"which":[65,112,176],"can":[66,96],"be":[67,99],"seen":[68],"model":[71,88,186,190],"prior.":[72],"This":[73],"has":[74],"several":[75,198],"advantages.":[76],"First,":[77],"high":[79],"level":[80],"ambiguity":[82],"original":[85],"drastically":[90],"reduced":[91],"since":[92],"bases":[95],"not":[97],"anymore":[98],"arbitrarily":[100],"re-combined.":[101],"Second,":[102],"this":[103,146],"allows":[104],"us":[105],"to":[106,150,165,179,203],"reconstruction":[110,160,192],"algorithm":[111,161,193],"starts":[113],"by":[114,139],"computing":[115],"mean":[117],"iteratively":[120],"adds":[121],"modes.":[123],"It":[124],"directly":[125],"gives":[126],"sought":[128],"after":[129],"metric":[130],"thereby":[132],"avoiding":[133],"difficult":[135],"upgrading":[136],"step":[137],"required":[138],"most":[140],"other":[143,168],"methods.":[144],"Third,":[145],"makes":[147],"possible":[149],"automatically":[151],"select":[152],"number":[154],"modes":[157],"proceeds.":[162],"incorporate":[166],"two":[167],"priors,":[169],"accounting":[170],"for":[171],"temporal":[172],"spatial":[174],"smoothness,":[175],"are":[177,194,201],"shown":[178,202],"improve":[180],"quality":[182],"recovered":[185],"parameters.":[187],"The":[188],"proposed":[189,207],"successfully":[195],"demonstrated":[196],"on":[197],"videos":[199],"outperform":[204],"previously":[206],"algorithms.":[208]},"counts_by_year":[{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}