{"id":"https://openalex.org/W2537573138","doi":"https://doi.org/10.1109/iccv.2009.5459337","title":"Static multi-camera factorization using rigid motion","display_name":"Static multi-camera factorization using rigid motion","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2537573138","doi":"https://doi.org/10.1109/iccv.2009.5459337","mag":"2537573138"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2009.5459337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision","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/A5054943664","display_name":"Roland Angst","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Roland Angst","raw_affiliation_strings":["Computer Vision and Geometry Lab, Department of Computer Science, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Computer Vision and Geometry Lab, Department of Computer Science, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021908609","display_name":"Marc Pollefeys","orcid":"https://orcid.org/0000-0003-2448-2318"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marc Pollefeys","raw_affiliation_strings":["Computer Vision and Geometry Lab, Department of Computer Science, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Computer Vision and Geometry Lab, Department of Computer Science, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054943664"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":2.2649,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.9015231,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"66","issue":null,"first_page":"1203","last_page":"1210"},"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9945999979972839,"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":0.991100013256073,"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/camera-auto-calibration","display_name":"Camera auto-calibration","score":0.7620605826377869},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.692493736743927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6779412031173706},{"id":"https://openalex.org/keywords/camera-resectioning","display_name":"Camera resectioning","score":0.6479361057281494},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6158723831176758},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.6073163747787476},{"id":"https://openalex.org/keywords/pinhole-camera-model","display_name":"Pinhole camera model","score":0.6021134257316589},{"id":"https://openalex.org/keywords/camera-matrix","display_name":"Camera matrix","score":0.5773938894271851},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5333865284919739},{"id":"https://openalex.org/keywords/epipolar-geometry","display_name":"Epipolar geometry","score":0.44984787702560425},{"id":"https://openalex.org/keywords/structure-from-motion","display_name":"Structure from motion","score":0.44587352871894836},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.43855857849121094},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4249635338783264},{"id":"https://openalex.org/keywords/video-tracking","display_name":"Video tracking","score":0.42114701867103577},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.3105457127094269},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.3101995587348938},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3078024387359619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29673707485198975},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1405619978904724},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08644717931747437}],"concepts":[{"id":"https://openalex.org/C94816000","wikidata":"https://www.wikidata.org/wiki/Q5026006","display_name":"Camera auto-calibration","level":3,"score":0.7620605826377869},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.692493736743927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6779412031173706},{"id":"https://openalex.org/C110898773","wikidata":"https://www.wikidata.org/wiki/Q2933935","display_name":"Camera resectioning","level":2,"score":0.6479361057281494},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6158723831176758},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.6073163747787476},{"id":"https://openalex.org/C199996500","wikidata":"https://www.wikidata.org/wiki/Q14369636","display_name":"Pinhole camera model","level":4,"score":0.6021134257316589},{"id":"https://openalex.org/C679329","wikidata":"https://www.wikidata.org/wiki/Q5026015","display_name":"Camera matrix","level":5,"score":0.5773938894271851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5333865284919739},{"id":"https://openalex.org/C23379248","wikidata":"https://www.wikidata.org/wiki/Q200904","display_name":"Epipolar geometry","level":3,"score":0.44984787702560425},{"id":"https://openalex.org/C146159030","wikidata":"https://www.wikidata.org/wiki/Q7625099","display_name":"Structure from motion","level":3,"score":0.44587352871894836},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.43855857849121094},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4249635338783264},{"id":"https://openalex.org/C202474056","wikidata":"https://www.wikidata.org/wiki/Q1931635","display_name":"Video tracking","level":3,"score":0.42114701867103577},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.3105457127094269},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.3101995587348938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3078024387359619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29673707485198975},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1405619978904724},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08644717931747437},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccv.2009.5459337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.460.2388","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.460.2388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.ethz.ch/personal/marc.pollefeys/pubs/AngstICCV09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W349217628","https://openalex.org/W1963826206","https://openalex.org/W1979605824","https://openalex.org/W2013912476","https://openalex.org/W2033807710","https://openalex.org/W2098367421","https://openalex.org/W2109407206","https://openalex.org/W2116035711","https://openalex.org/W2117083552","https://openalex.org/W2121349631","https://openalex.org/W2124070468","https://openalex.org/W2124600577","https://openalex.org/W2125954773","https://openalex.org/W2130398583","https://openalex.org/W2134810690","https://openalex.org/W2135454103","https://openalex.org/W2138835141","https://openalex.org/W2140640380","https://openalex.org/W2149431106","https://openalex.org/W2162265152","https://openalex.org/W2729161127","https://openalex.org/W3021409525","https://openalex.org/W3146916448","https://openalex.org/W4230391415","https://openalex.org/W6611763955","https://openalex.org/W6677334830","https://openalex.org/W6776667571"],"related_works":["https://openalex.org/W227461850","https://openalex.org/W42909716","https://openalex.org/W2118427684","https://openalex.org/W4254512752","https://openalex.org/W1593370737","https://openalex.org/W2052984831","https://openalex.org/W2378222798","https://openalex.org/W2371079219","https://openalex.org/W4390264264","https://openalex.org/W2095789993"],"abstract_inverted_index":{"Camera":[0],"networks":[1],"have":[2],"gained":[3],"increased":[4],"importance":[5],"in":[6,172,185],"recent":[7],"years.":[8],"Previous":[9],"approaches":[10],"mostly":[11],"used":[12,154],"point":[13,106],"correspondences":[14,51],"between":[15,52],"different":[16,53],"camera":[17,47,54,59,96,111,126,184,187],"views":[18,55],"to":[19,31,43,115],"calibrate":[20,44],"such":[21,33],"systems.":[22],"However,":[23],"it":[24],"is":[25,113,200],"often":[26],"difficult":[27],"or":[28],"even":[29],"impossible":[30],"establish":[32],"correspondences.":[34],"In":[35],"this":[36],"paper,":[37],"we":[38,98],"therefore":[39],"present":[40],"an":[41,94,156],"approach":[42,177],"a":[45,68,116,144,183,186],"static":[46],"network":[48,188],"where":[49],"no":[50],"are":[56,79],"required.":[57],"Each":[58],"tracks":[60],"its":[61],"own":[62],"set":[63],"of":[64,103,124,131,140,166,197],"feature":[65,77,105,134,193],"points":[66],"on":[67],"commonly":[69],"observed":[70],"moving":[71],"rigid":[72,138],"object":[73,142],"and":[74,136,204],"these":[75],"2D":[76],"trajectories":[78],"then":[80,152],"fed":[81],"into":[82],"our":[83,198],"algorithm.":[84],"By":[85],"assuming":[86],"the":[87,101,122,125,129,132,137,141,167,173],"cameras":[88],"can":[89,151,178],"be":[90,153],"well":[91],"approximated":[92],"with":[93,143,202],"affine":[95,110],"model,":[97],"show":[99],"that":[100],"projection":[102],"any":[104,109],"trajectory":[107],"onto":[108],"axis":[112],"restricted":[114],"13-dimensional":[117],"subspace.":[118],"This":[119,149],"observation":[120],"enables":[121],"computation":[123],"calibration":[127],"matrices,":[128],"coordinates":[130],"tracked":[133],"points,":[135],"motion":[139],"non-iterative":[145],"trilinear":[146],"factorization":[147],"approach.":[148],"solution":[150],"as":[155],"initial":[157],"guess":[158],"for":[159],"iterative":[160],"optimization":[161],"schemes":[162],"which":[163],"make":[164],"use":[165],"strong":[168],"algebraic":[169],"structure":[170],"contained":[171],"data.":[174,207],"Our":[175],"new":[176],"handle":[179],"extreme":[180],"configurations,":[181],"e.g.":[182],"tracking":[189],"only":[190],"one":[191],"single":[192],"point.":[194],"The":[195],"applicability":[196],"algorithm":[199],"evaluated":[201],"synthetic":[203],"real":[205],"world":[206]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}