{"id":"https://openalex.org/W2548817029","doi":"https://doi.org/10.1109/iccv.2009.5459147","title":"Globally optimal affine epipolar geometry from apparent contours","display_name":"Globally optimal affine epipolar geometry from apparent contours","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2548817029","doi":"https://doi.org/10.1109/iccv.2009.5459147","mag":"2548817029"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2009.5459147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459147","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/A5100438655","display_name":"Gang Li","orcid":"https://orcid.org/0000-0001-9755-2781"},"institutions":[{"id":"https://openalex.org/I4210137693","display_name":"Siemens (United States)","ror":"https://ror.org/04axb7e79","country_code":"US","type":"company","lineage":["https://openalex.org/I1325886976","https://openalex.org/I4210137693"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gang Li","raw_affiliation_strings":["Real-Time Vision and Modeling Department, Siemens AG Corporate Research and Development, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Real-Time Vision and Modeling Department, Siemens AG Corporate Research and Development, Princeton, NJ, USA","institution_ids":["https://openalex.org/I4210137693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018331726","display_name":"Yanghai Tsin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137693","display_name":"Siemens (United States)","ror":"https://ror.org/04axb7e79","country_code":"US","type":"company","lineage":["https://openalex.org/I1325886976","https://openalex.org/I4210137693"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanghai Tsin","raw_affiliation_strings":["Real-Time Vision and Modeling Department, Siemens AG Corporate Research and Development, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Real-Time Vision and Modeling Department, Siemens AG Corporate Research and Development, Princeton, NJ, USA","institution_ids":["https://openalex.org/I4210137693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100438655"],"corresponding_institution_ids":["https://openalex.org/I4210137693"],"apc_list":null,"apc_paid":null,"fwci":0.3236,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67406918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"96","last_page":"103"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9980999827384949,"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/epipolar-geometry","display_name":"Epipolar geometry","score":0.9542347192764282},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.60477215051651},{"id":"https://openalex.org/keywords/fundamental-matrix","display_name":"Fundamental matrix (linear differential equation)","score":0.5933685898780823},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5682059526443481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5558345913887024},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.5173161029815674},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4948205351829529},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.47541242837905884},{"id":"https://openalex.org/keywords/hypersphere","display_name":"Hypersphere","score":0.4419698119163513},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.42164719104766846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3782617151737213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35197991132736206},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3257356286048889},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3046605587005615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14213278889656067}],"concepts":[{"id":"https://openalex.org/C23379248","wikidata":"https://www.wikidata.org/wiki/Q200904","display_name":"Epipolar geometry","level":3,"score":0.9542347192764282},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.60477215051651},{"id":"https://openalex.org/C2780427248","wikidata":"https://www.wikidata.org/wiki/Q17014996","display_name":"Fundamental matrix (linear differential equation)","level":2,"score":0.5933685898780823},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5682059526443481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5558345913887024},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5173161029815674},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4948205351829529},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.47541242837905884},{"id":"https://openalex.org/C2776562905","wikidata":"https://www.wikidata.org/wiki/Q306610","display_name":"Hypersphere","level":2,"score":0.4419698119163513},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.42164719104766846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3782617151737213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35197991132736206},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3257356286048889},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3046605587005615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14213278889656067},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccv.2009.5459147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459147","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W194536078","https://openalex.org/W225012726","https://openalex.org/W1487333175","https://openalex.org/W1565212980","https://openalex.org/W1704913637","https://openalex.org/W1734007904","https://openalex.org/W1977832947","https://openalex.org/W1981367768","https://openalex.org/W2033819227","https://openalex.org/W2057175746","https://openalex.org/W2063409146","https://openalex.org/W2102481828","https://openalex.org/W2105340458","https://openalex.org/W2111223858","https://openalex.org/W2113622401","https://openalex.org/W2115564294","https://openalex.org/W2128972574","https://openalex.org/W2132170249","https://openalex.org/W2135488942","https://openalex.org/W2137610415","https://openalex.org/W2142390575","https://openalex.org/W2144180603","https://openalex.org/W2158309416","https://openalex.org/W2160446313","https://openalex.org/W2165513091","https://openalex.org/W2165584048","https://openalex.org/W2180338043","https://openalex.org/W2215420448","https://openalex.org/W2296319761","https://openalex.org/W2798909945","https://openalex.org/W3021282624","https://openalex.org/W3022352042","https://openalex.org/W4250589301","https://openalex.org/W4301662356","https://openalex.org/W6637640682","https://openalex.org/W6658838613","https://openalex.org/W6666601211","https://openalex.org/W6750968397","https://openalex.org/W6776689895"],"related_works":["https://openalex.org/W1533134004","https://openalex.org/W1990472106","https://openalex.org/W4210643770","https://openalex.org/W2755641224","https://openalex.org/W2394408411","https://openalex.org/W4221132921","https://openalex.org/W2336873990","https://openalex.org/W2106530324","https://openalex.org/W2364478685","https://openalex.org/W2134012606"],"abstract_inverted_index":{"We":[0,85,97],"study":[1],"the":[2,6,26,34,87,100,123,152,160],"problem":[3,67,101],"of":[4,12,33,117],"estimating":[5],"epipolar":[7,46,61],"geometry":[8],"from":[9],"apparent":[10,21],"contours":[11,22],"smooth":[13],"curved":[14],"surfaces":[15],"with":[16,60],"affine":[17],"camera":[18],"models.":[19],"Since":[20],"are":[23,31,43,51,74],"viewpoint":[24],"dependent,":[25],"only":[27],"true":[28],"image":[29],"correspondences":[30],"projections":[32],"frontier":[35,49],"points,":[36],"i.e.,":[37],"surface":[38],"points":[39,50],"whose":[40],"tangent":[41],"planes":[42],"also":[44],"their":[45],"planes.":[47],"However,":[48],"unknown":[52],"a":[53,103,113,119,128,133],"priori":[54],"and":[55,78,147],"must":[56],"be":[57],"estimated":[58],"simultaneously":[59],"geometry.":[62],"Previous":[63],"approaches":[64],"to":[65,76,109,157],"this":[66,95],"adopt":[68],"local":[69,83],"greedy":[70],"search":[71,110],"methods":[72],"which":[73],"sensitive":[75],"initialization,":[77],"may":[79],"get":[80],"trapped":[81],"in":[82,112,122,127],"minima.":[84],"propose":[86],"first":[88,98],"algorithm":[89,130],"that":[90,106,151],"guarantees":[91],"global":[92],"optimality":[93],"for":[94],"problem.":[96],"reformulate":[99],"using":[102],"separable":[104],"form":[105],"allows":[107],"us":[108],"effectively":[111],"2D":[114],"space,":[115],"instead":[116],"on":[118,144],"5D":[120],"hypersphere":[121],"classical":[124],"formulation.":[125],"Next,":[126],"branch-and-bound":[129],"we":[131],"introduce":[132],"novel":[134],"lower":[135],"bounding":[136],"function":[137],"through":[138],"interval":[139],"matrix":[140],"analysis.":[141],"Experimental":[142],"results":[143],"both":[145],"synthetic":[146],"real":[148],"scenes":[149],"demonstrate":[150],"proposed":[153],"method":[154],"is":[155],"able":[156],"quickly":[158],"obtain":[159],"optimal":[161],"solution.":[162]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}