{"id":"https://openalex.org/W2115271576","doi":"https://doi.org/10.1109/cvpr.2003.1211395","title":"Line reconstruction from many perspective images by factorization","display_name":"Line reconstruction from many perspective images by factorization","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W2115271576","doi":"https://doi.org/10.1109/cvpr.2003.1211395","mag":"2115271576"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2003.1211395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","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/A5087531991","display_name":"D. Matinec","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"D. Matinec","raw_affiliation_strings":["Dept. of Cybernetics, Czech Technical University in Prague, Prague, Czech Rep","Faculty of Elec. Eng, Czech Technical University in Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Cybernetics, Czech Technical University in Prague, Prague, Czech Rep","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Faculty of Elec. Eng, Czech Technical University in Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043222506","display_name":"Tom\u00e1\u0161 Pajdla","orcid":"https://orcid.org/0000-0001-6325-0072"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"T. Pajdla","raw_affiliation_strings":["Dept. of Cybernetics, Czech Technical University in Prague, Prague, Czech Rep","Faculty of Elec. Eng, Czech Technical University in Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Dept. of Cybernetics, Czech Technical University in Prague, Prague, Czech Rep","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Faculty of Elec. Eng, Czech Technical University in Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087531991"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":1.0677,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.78931968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"I","last_page":"497"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9980999827384949,"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/factorization","display_name":"Factorization","score":0.6894752979278564},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6577138304710388},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.6062940359115601},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5938338041305542},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5838073492050171},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5643676519393921},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5343213677406311},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.518629252910614},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5171696543693542},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5101823806762695},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.46005672216415405},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44470277428627014},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.431729257106781},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3861852288246155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38609933853149414},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20073235034942627}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6894752979278564},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6577138304710388},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6062940359115601},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5938338041305542},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5838073492050171},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5643676519393921},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5343213677406311},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.518629252910614},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5171696543693542},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5101823806762695},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.46005672216415405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44470277428627014},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.431729257106781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3861852288246155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38609933853149414},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20073235034942627},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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},{"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/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/cvpr.2003.1211395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1577953480","https://openalex.org/W1664657138","https://openalex.org/W1724266494","https://openalex.org/W1779643911","https://openalex.org/W1943001502","https://openalex.org/W1989167963","https://openalex.org/W2033819227","https://openalex.org/W2099612189","https://openalex.org/W2117083552","https://openalex.org/W2138835141","https://openalex.org/W2142270940","https://openalex.org/W2148863747","https://openalex.org/W2165873544","https://openalex.org/W3021282624","https://openalex.org/W6634397612","https://openalex.org/W6637095586","https://openalex.org/W6677334830","https://openalex.org/W7075694224"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2951579230","https://openalex.org/W2613627778"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,15,114,152,164],"method":[4,189],"for":[5,136,190],"line":[6,18,30,37,72,118],"reconstruction":[7,28,40,92,166],"from":[8,29,93],"many":[9],"perspective":[10,88,97],"images":[11,191],"by":[12,131],"factorization":[13,45,143],"of":[14,35,46,59,84,116,187],"matrix":[16,51,65,73,80,100],"containing":[17],"correspondences.":[19],"No":[20],"point":[21,94],"correspondences":[22,31,95],"are":[23,125,178],"used.":[24],"We":[25,112,138,155,182],"formulate":[26],"the":[27,33,44,54,99,128,176,188],"in":[32,87,96,151],"language":[34],"Plucker":[36],"coordinates.":[38],"The":[39,79],"is":[41,173],"posed":[42],"as":[43],"3m":[47,60],"/spl":[48,61,69],"times/":[49,62,70],"n":[50,71],"S":[52,56,81,101],"into":[53],"product":[55],"=":[57],"QL":[58],"6":[63,68],"projection":[64],"Q":[66,148],"and":[67,133,149,175],"L,":[74],"both":[75],"satisfying":[76],"Klein":[77,145],"identities.":[78],"contains":[82],"coordinates":[83,119],"lines":[85],"detected":[86],"images.":[89],"Similarly":[90],"to":[91,103,127],"images,":[98],"has":[102],"be":[104,110,168],"properly":[105],"rescaled":[106],"before":[107],"it":[108],"can":[109],"factorized.":[111],"propose":[113,139],"scaling":[115,129],"image":[117],"based":[120,142],"on":[121,147,158],"trifocal":[122],"tensors":[123],"that":[124,161,163],"analogical":[126],"proposed":[130],"Sturm":[132],"Triggs":[134],"(1996)":[135],"points.":[137],"an":[140,185],"SVD":[141],"enforcing":[144],"identities":[146,177],"L":[150],"noise-free":[153],"situation.":[154],"show":[156],"experiments":[157],"real":[159],"data":[160,172],"suggest":[162],"good":[165],"may":[167],"obtained":[169],"even":[170],"if":[171],"noisy":[174],"not":[179],"enforced":[180],"exactly.":[181],"also":[183],"discuss":[184],"extension":[186],"with":[192],"occlusions.":[193]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}