{"id":"https://openalex.org/W4233374531","doi":"https://doi.org/10.1109/tdpvt.2004.1335300","title":"A closed-form solution for a two-view self-calibration problem under fixation","display_name":"A closed-form solution for a two-view self-calibration problem under fixation","publication_year":2004,"publication_date":"2004-11-08","ids":{"openalex":"https://openalex.org/W4233374531","doi":"https://doi.org/10.1109/tdpvt.2004.1335300"},"language":"en","primary_location":{"id":"doi:10.1109/tdpvt.2004.1335300","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tdpvt.2004.1335300","pdf_url":null,"source":{"id":"https://openalex.org/S4363608708","display_name":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","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/A5070477888","display_name":"T. Ueshiba","orcid":null},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"T. Ueshiba","raw_affiliation_strings":["National Institute for Advanced Industrial Science and Technology, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute for Advanced Industrial Science and Technology, Tsukuba, Japan","institution_ids":["https://openalex.org/I73613424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044432382","display_name":"F. Tomita","orcid":null},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"F. Tomita","raw_affiliation_strings":["National Institute for Advanced Industrial Science and Technology, Tsukuba, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute for Advanced Industrial Science and Technology, Tsukuba, Japan","institution_ids":["https://openalex.org/I73613424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070477888"],"corresponding_institution_ids":["https://openalex.org/I73613424"],"apc_list":null,"apc_paid":null,"fwci":0.3804,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52008929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":null,"first_page":"648","last_page":"655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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":0.9965999722480774,"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":0.9025434255599976},{"id":"https://openalex.org/keywords/fundamental-matrix","display_name":"Fundamental matrix (linear differential equation)","score":0.8870599269866943},{"id":"https://openalex.org/keywords/essential-matrix","display_name":"Essential matrix","score":0.8825398683547974},{"id":"https://openalex.org/keywords/eight-point-algorithm","display_name":"Eight-point algorithm","score":0.5783705115318298},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.5396594405174255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5095906257629395},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.48553726077079773},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4714924991130829},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.456958532333374},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.4107779860496521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3626929521560669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33616313338279724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2881945073604584},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2319638729095459},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1999688744544983},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.17317140102386475},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.16031914949417114},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15918639302253723},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.14345300197601318}],"concepts":[{"id":"https://openalex.org/C23379248","wikidata":"https://www.wikidata.org/wiki/Q200904","display_name":"Epipolar geometry","level":3,"score":0.9025434255599976},{"id":"https://openalex.org/C2780427248","wikidata":"https://www.wikidata.org/wiki/Q17014996","display_name":"Fundamental matrix (linear differential equation)","level":2,"score":0.8870599269866943},{"id":"https://openalex.org/C49996920","wikidata":"https://www.wikidata.org/wiki/Q17089185","display_name":"Essential matrix","level":5,"score":0.8825398683547974},{"id":"https://openalex.org/C56275529","wikidata":"https://www.wikidata.org/wiki/Q5348937","display_name":"Eight-point algorithm","level":5,"score":0.5783705115318298},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.5396594405174255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5095906257629395},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.48553726077079773},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4714924991130829},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.456958532333374},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4107779860496521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3626929521560669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33616313338279724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2881945073604584},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2319638729095459},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1999688744544983},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.17317140102386475},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.16031914949417114},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15918639302253723},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.14345300197601318},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tdpvt.2004.1335300","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tdpvt.2004.1335300","pdf_url":null,"source":{"id":"https://openalex.org/S4363608708","display_name":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1482517735","https://openalex.org/W1489405158","https://openalex.org/W1555281377","https://openalex.org/W1660742177","https://openalex.org/W2057340979","https://openalex.org/W2065592949","https://openalex.org/W2124906943","https://openalex.org/W2134211982","https://openalex.org/W2143221441","https://openalex.org/W2145713909","https://openalex.org/W2150623853","https://openalex.org/W2285209034","https://openalex.org/W6628905727","https://openalex.org/W6680017384","https://openalex.org/W6695822930"],"related_works":["https://openalex.org/W2364478685","https://openalex.org/W2146451015","https://openalex.org/W1990472106","https://openalex.org/W2117101504","https://openalex.org/W1533134004","https://openalex.org/W4221132921","https://openalex.org/W2365918259","https://openalex.org/W2106530324","https://openalex.org/W2350365380","https://openalex.org/W2040076228"],"abstract_inverted_index":{"It":[0,134],"is":[1,13,31,78,92,156],"well":[2],"known":[3],"that":[4,67,96,115,138],"the":[5,17,21,38,50,74,109,116,122,145,162],"epipolar":[6],"geometry":[7],"between":[8],"two":[9,132],"uncalibrated":[10],"perspective":[11,62],"views":[12],"completely":[14],"encapsulated":[15],"in":[16,72,80,148],"fundamental":[18,22,51,110,146],"matrix.":[19,52,111],"Since":[20,83],"matrix":[23,147],"has":[24,86],"seven":[25,36],"degrees":[26,88],"of":[27,37,89,97,172],"freedom":[28],"(DOF),":[29],"self-calibration":[30],"possible":[32],"if":[33],"at":[34,103],"most":[35,104],"intrinsic":[39,106],"or":[40],"extrinsic":[41],"camera":[42,63],"parameters":[43,107,141],"are":[44,127,142],"unknown":[45,128],"by":[46],"extracting":[47],"them":[48],"from":[49,108,144],"This":[53],"work":[54],"presents":[55],"a":[56,61,69,81,153],"linear":[57],"algorithm":[58],"for":[59,131],"self-calibrating":[60],"which":[64,73,91,166],"undergoes":[65],"fixation,":[66],"is,":[68],"special":[70],"motion":[71],"camera's":[75],"optical":[76],"axis":[77],"confined":[79],"plane.":[82],"this":[84],"fixation":[85],"four":[87],"freedom,":[90],"one":[93],"smaller":[94],"than":[95],"general":[98],"motion,":[99],"we":[100],"can":[101],"extract":[102],"three":[105,140],"We":[112,158],"here":[113],"assume":[114],"focal":[117],"length":[118],"(1":[119],"DOF)":[120,126],"and":[121,152],"principal":[123],"point":[124],"(2":[125],"but":[129],"fixed":[130],"views.":[133],"will":[135],"be":[136],"shown":[137],"these":[139],"obtained":[143],"an":[149,169],"analytical":[150],"fashion":[151],"closed-form":[154],"solution":[155],"derived.":[157],"also":[159],"characterize":[160],"all":[161],"degenerate":[163],"motions":[164],"under":[165],"there":[167],"exists":[168],"infinite":[170],"set":[171],"solutions.":[173]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
