{"id":"https://openalex.org/W1976477983","doi":"https://doi.org/10.1109/acvmot.2005.4","title":"A Factorization Method for Structure from Planar Motion","display_name":"A Factorization Method for Structure from Planar Motion","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1976477983","doi":"https://doi.org/10.1109/acvmot.2005.4","mag":"1976477983"},"language":"en","primary_location":{"id":"doi:10.1109/acvmot.2005.4","doi":"https://doi.org/10.1109/acvmot.2005.4","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acvmot.2005.4","pdf_url":null,"source":{"id":"https://openalex.org/S4393918690","display_name":"IEEE Winter Conference on Applications of Computer Vision","issn_l":"2472-6737","issn":["2472-6737"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 Seventh IEEE Workshops on Applications of Computer Vision (WACV/MOTION'05) - Volume 1","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5100402624","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-4977-1802","observed_orcids":["https://orcid.org/0000-0003-4977-1802"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["Center for Automation Research (CfAR) and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","University of Maryland  College Park MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research (CfAR) and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"University of Maryland  College Park MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102762707","display_name":"Rama Chellappa","orcid":"https://orcid.org/0000-0002-7638-1650","observed_orcids":["https://orcid.org/0000-0002-7638-1650"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rama Chellappa","raw_affiliation_strings":["Center for Automation Research (CfAR) and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","University of Maryland  College Park MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research (CfAR) and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"University of Maryland  College Park MD","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":1.0543,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.76653674,"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":"154","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9916999936103821,"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":0.9916999936103821,"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":0.0017999999690800905,"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":0.0007999999797903001,"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/structure-from-motion","display_name":"structure from motion","score":0.9520000219345093},{"id":"https://openalex.org/keywords/planar-motion","display_name":"planar motion","score":0.9929999709129333},{"id":"https://openalex.org/keywords/factorization","display_name":"factorization","score":0.6919999718666077},{"id":"https://openalex.org/keywords/measurement-matrix","display_name":"measurement matrix","score":0.9409999847412109},{"id":"https://openalex.org/keywords/uncalibrated-cameras","display_name":"uncalibrated cameras","score":0.7910000085830688},{"id":"https://openalex.org/keywords/vanishing-point","display_name":"vanishing points","score":0.9520000219345093},{"id":"https://openalex.org/keywords/vanishing-line","display_name":"vanishing line","score":0.9459999799728394},{"id":"https://openalex.org/keywords/euclidean-reconstruction","display_name":"Euclidean reconstruction","score":0.9229999780654907}],"concepts":[{"id":"https://openalex.org/C49996920","wikidata":"https://www.wikidata.org/wiki/Q17089185","display_name":"Essential matrix","level":5,"score":0.8075332641601562},{"id":"https://openalex.org/C679329","wikidata":"https://www.wikidata.org/wiki/Q5026015","display_name":"Camera matrix","level":5,"score":0.6387648582458496},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.6149876117706299},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6028760671615601},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5659198760986328},{"id":"https://openalex.org/C146159030","wikidata":"https://www.wikidata.org/wiki/Q7625099","display_name":"Structure from motion","level":3,"score":0.560580849647522},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5264290571212769},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.518481433391571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5003972053527832},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.48392587900161743},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45794764161109924},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4522734582424164},{"id":"https://openalex.org/C124774092","wikidata":"https://www.wikidata.org/wiki/Q6917782","display_name":"Motion field","level":3,"score":0.4507670998573303},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.43989983201026917},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4323255121707916},{"id":"https://openalex.org/C110898773","wikidata":"https://www.wikidata.org/wiki/Q2933935","display_name":"Camera resectioning","level":2,"score":0.4312227666378021},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4274289309978485},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.4127911329269409},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.41092872619628906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4008515179157257},{"id":"https://openalex.org/C94816000","wikidata":"https://www.wikidata.org/wiki/Q5026006","display_name":"Camera auto-calibration","level":3,"score":0.310981810092926},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.22034671902656555},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18877190351486206},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.17463821172714233},{"id":"https://openalex.org/C199996500","wikidata":"https://www.wikidata.org/wiki/Q14369636","display_name":"Pinhole camera model","level":4,"score":0.15531015396118164},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15179646015167236},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.13403621315956116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08965611457824707},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acvmot.2005.4","doi":"https://doi.org/10.1109/acvmot.2005.4","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acvmot.2005.4","pdf_url":null,"source":{"id":"https://openalex.org/S4393918690","display_name":"IEEE Winter Conference on Applications of Computer Vision","issn_l":"2472-6737","issn":["2472-6737"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 Seventh IEEE Workshops on Applications of Computer Vision (WACV/MOTION'05) - Volume 1","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.110.3293","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.3293","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cfar.umd.edu/~rama/Conf.pdf-files/li_motion05.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1521667143","https://openalex.org/W1588423009","https://openalex.org/W1989167963","https://openalex.org/W1995312321","https://openalex.org/W2033819227","https://openalex.org/W2088284286","https://openalex.org/W2110121428","https://openalex.org/W2117083552","https://openalex.org/W2135249968","https://openalex.org/W2136059458","https://openalex.org/W2138835141","https://openalex.org/W2148032366","https://openalex.org/W2152128146","https://openalex.org/W2154141655","https://openalex.org/W2157583813","https://openalex.org/W2764433274"],"related_works":["https://openalex.org/W2024466685","https://openalex.org/W2127374690","https://openalex.org/W2165873544","https://openalex.org/W2100993594","https://openalex.org/W2166189609","https://openalex.org/W1670056903","https://openalex.org/W1549015651","https://openalex.org/W66850088","https://openalex.org/W2099858702","https://openalex.org/W2085364306"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,11,36,50,82],"factorization":[3,18],"method":[4,97],"for":[5,21,27,41],"structure":[6,24],"from":[7],"planar":[8,42],"motion":[9,43],"using":[10,98],"stationary":[12],"perspective":[13],"camera.":[14],"Compared":[15],"with":[16],"[A":[17],"based":[19],"algorithm":[20,110],"multi-image":[22],"projective":[23,83],"and":[25,101,113,118],"motion]":[26],"general":[28],"motion,":[29],"our":[30],"work":[31],"has":[32,49],"three":[33],"major":[34],"differences:":[35],"different":[37],"measurement":[38,47,60],"matrix":[39,48,61],"specialized":[40],"is":[44,72,87,103,111],"formed.":[45],"The":[46,85],"rank":[51],"of":[52,57,67,81],"at":[53],"most":[54],"3,":[55],"instead":[56,80],"4;":[58],"the":[59,109],"needs":[62],"similar":[63],"scalings,":[64],"but":[65],"estimation":[66],"fundamental":[68],"matrices":[69],"or":[70],"epipoles":[71],"not":[73,88],"needed;":[74],"we":[75],"have":[76],"an":[77],"Euclidean":[78],"reconstruction":[79],"reconstruction.":[84],"camera":[86],"required":[89],"to":[90,116],"be":[91],"calibrated.":[92],"A":[93],"simple":[94],"semi-automatic":[95],"calibration":[96],"vanishing":[99],"points":[100],"lines":[102],"sufficient.":[104],"Experimental":[105],"results":[106],"show":[107],"that":[108],"accurate":[112],"fairly":[114],"robust":[115],"noise":[117],"inaccurate":[119],"calibration.":[120]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-26T11:51:55.731654","created_date":"2016-06-24T00:00:00"}