{"id":"https://openalex.org/W2129819133","doi":"https://doi.org/10.1109/cdc.2009.5399578","title":"Using dynamics to recover Euclidian 3-dimensional structure from 2-dimensional perspective projections","display_name":"Using dynamics to recover Euclidian 3-dimensional structure from 2-dimensional perspective projections","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2129819133","doi":"https://doi.org/10.1109/cdc.2009.5399578","mag":"2129819133"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5074266892","display_name":"Mario Sznaier","orcid":"https://orcid.org/0000-0003-4439-3988"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario Sznaier","raw_affiliation_strings":["Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064139648","display_name":"Mustafa Ayazo\u011flu","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mustafa Ayazoglu","raw_affiliation_strings":["Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047038311","display_name":"Octavia Camps","orcid":"https://orcid.org/0000-0003-1945-9172"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Octavia Camps","raw_affiliation_strings":["Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Electrical and Comp. Engineering Department, Northeastern University, Boston, MA 02115, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"2414","last_page":"2419"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9948999881744385,"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/perspective","display_name":"Perspective (graphical)","score":0.7651785612106323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5462555289268494},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5106015801429749},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.423428475856781},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32375603914260864},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17625361680984497}],"concepts":[{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.7651785612106323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5462555289268494},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5106015801429749},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.423428475856781},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32375603914260864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17625361680984497},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5399578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.429.3800","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.3800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://robustsystems.coe.neu.edu/sites/robustsystems.coe.neu.edu/files/systems/papers/Sznaier_CDC09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1392983227","display_name":null,"funder_award_id":"FA9550-09-1-0253","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8159079256","display_name":"Risk Adjusted Robust Control Theory and Applications","funder_award_id":"0648054","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1485828363","https://openalex.org/W1493938038","https://openalex.org/W1508960934","https://openalex.org/W1524997589","https://openalex.org/W1916337001","https://openalex.org/W1992989752","https://openalex.org/W2002875082","https://openalex.org/W2033819227","https://openalex.org/W2061938589","https://openalex.org/W2085261163","https://openalex.org/W2117083552","https://openalex.org/W2118154608","https://openalex.org/W2118365920","https://openalex.org/W2119661745","https://openalex.org/W2121578809","https://openalex.org/W2129415393","https://openalex.org/W2137564964","https://openalex.org/W2138835141","https://openalex.org/W2143920871","https://openalex.org/W2151812852","https://openalex.org/W2158928052","https://openalex.org/W2166061994","https://openalex.org/W2169040509","https://openalex.org/W2171046494","https://openalex.org/W2798813531","https://openalex.org/W6628806625","https://openalex.org/W6629473262","https://openalex.org/W6630486035","https://openalex.org/W6658838613","https://openalex.org/W6677511710","https://openalex.org/W6750458900"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2149537132","https://openalex.org/W2376932109","https://openalex.org/W2018871932","https://openalex.org/W2001405890","https://openalex.org/W641279757"],"abstract_inverted_index":{"In":[0,120],"this":[1,96],"paper":[2,56],"we":[3,89],"consider":[4],"the":[5,9,38,41,55,62,69,79,86,92,100,125,145,149],"problem":[6,39,93],"of":[7,13,25,43,54,85,94,148],"recovering":[8],"3-dimensional":[10],"Euclidian":[11,146],"structure":[12,134],"a":[14,23,75,108,138],"rigid":[15],"object":[16],"from":[17],"multi-frame":[18],"point":[19],"correspondence":[20],"data":[21],"in":[22],"sequence":[24],"2-D":[26,70],"images":[27],"obtained":[28],"under":[29,59],"perspective":[30],"projection.":[31],"The":[32,51],"main":[33,52],"idea":[34],"is":[35],"to":[36,74,124,137],"recast":[37,106],"as":[40],"identification":[42],"an":[44],"LTI":[45],"system":[46,65,97],"based":[47,127],"on":[48,128],"partial":[49],"data.":[50],"result":[53],"shows":[57],"that,":[58],"mild":[60],"conditions,":[61],"lowest":[63],"order":[64],"whose":[66],"projections":[67],"interpolate":[68],"data,":[71],"yields":[72],"(up":[73],"single":[76],"scaling":[77],"constant)":[78],"correct":[80],"3":[81],"dimensional":[82],"Euclidean":[83],"coordinates":[84],"points.":[87],"Finally,":[88],"show":[90],"that":[91,112,141],"finding":[95],"(and":[98],"hence":[99],"associated":[101],"3-D":[102],"data)":[103],"can":[104,113,132],"be":[105,114],"into":[107],"rank":[109],"minimization":[110],"form":[111],"efficiently":[115],"solved":[116],"using":[117],"convex":[118],"relaxations.":[119],"contrast,":[121],"existing":[122],"approaches":[123],"problem,":[126],"iterative":[129],"matrix":[130],"factorizations":[131],"recover":[133],"only":[135],"up":[136],"projective":[139],"transformation":[140],"does":[142],"not":[143],"preserve":[144],"geometry":[147],"object.":[150]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
