{"id":"https://openalex.org/W2112733882","doi":"https://doi.org/10.1109/cvpr.2003.1211397","title":"A critical configuration for reconstruction from rectilinear motion","display_name":"A critical configuration for reconstruction from rectilinear motion","publication_year":2003,"publication_date":"2003-11-20","ids":{"openalex":"https://openalex.org/W2112733882","doi":"https://doi.org/10.1109/cvpr.2003.1211397","mag":"2112733882"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2003.1211397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211397","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/A5020216442","display_name":"Richard Hartley","orcid":"https://orcid.org/0000-0002-5005-0191"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"R. Hartley","raw_affiliation_strings":["RSISE, Australian National University, Australia","Australia Nat. Univ., Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"RSISE, Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Australia Nat. Univ., Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112556001","display_name":"Fredrik Kahl","orcid":null},"institutions":[{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]},{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"F. Kahl","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, Sweden","Centre for Mathematical Sciences Lund University, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]},{"raw_affiliation_string":"Centre for Mathematical Sciences Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020216442"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.2694,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5912875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"I","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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":0.9994999766349792,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9954000115394592,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9894999861717224,"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/computer-vision","display_name":"Computer vision","score":0.5965752005577087},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5858758091926575},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.5722069144248962},{"id":"https://openalex.org/keywords/real-projective-line","display_name":"Real projective line","score":0.5470399260520935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5303609371185303},{"id":"https://openalex.org/keywords/lying","display_name":"Lying","score":0.49933910369873047},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4716108441352844},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46758222579956055},{"id":"https://openalex.org/keywords/twisted-cubic","display_name":"Twisted cubic","score":0.44920292496681213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44553709030151367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4434019923210144},{"id":"https://openalex.org/keywords/projective-line","display_name":"Projective line","score":0.4425974488258362},{"id":"https://openalex.org/keywords/projective-geometry","display_name":"Projective geometry","score":0.4216832220554352},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.40272560715675354},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.33834290504455566},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3221585154533386},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.25077104568481445},{"id":"https://openalex.org/keywords/collineation","display_name":"Collineation","score":0.22784125804901123},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21244770288467407},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.07838770747184753}],"concepts":[{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5965752005577087},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5858758091926575},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5722069144248962},{"id":"https://openalex.org/C113441369","wikidata":"https://www.wikidata.org/wiki/Q23937546","display_name":"Real projective line","level":5,"score":0.5470399260520935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5303609371185303},{"id":"https://openalex.org/C119421448","wikidata":"https://www.wikidata.org/wiki/Q2268776","display_name":"Lying","level":2,"score":0.49933910369873047},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4716108441352844},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46758222579956055},{"id":"https://openalex.org/C37500760","wikidata":"https://www.wikidata.org/wiki/Q7858555","display_name":"Twisted cubic","level":5,"score":0.44920292496681213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44553709030151367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4434019923210144},{"id":"https://openalex.org/C90685605","wikidata":"https://www.wikidata.org/wiki/Q764115","display_name":"Projective line","level":4,"score":0.4425974488258362},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.4216832220554352},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.40272560715675354},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.33834290504455566},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3221585154533386},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.25077104568481445},{"id":"https://openalex.org/C163434512","wikidata":"https://www.wikidata.org/wiki/Q390741","display_name":"Collineation","level":4,"score":0.22784125804901123},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21244770288467407},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.07838770747184753},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cvpr.2003.1211397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211397","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.63.2760","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.63.2760","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.lth.se/matematiklth/personal/fredrik/tcubic.pdf","raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/733798256","is_oa":false,"landing_page_url":"https://hdl.handle.net/1885/733798256","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"Conference paper"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/86581","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/86581","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition 2003","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7900000214576721,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1506805072","https://openalex.org/W1526255325","https://openalex.org/W2019769120","https://openalex.org/W2107083334","https://openalex.org/W2119494074","https://openalex.org/W2138059160","https://openalex.org/W6675981923","https://openalex.org/W6858345623"],"related_works":["https://openalex.org/W3122927433","https://openalex.org/W2950270622","https://openalex.org/W1970713574","https://openalex.org/W2063686524","https://openalex.org/W1512504328","https://openalex.org/W1598655976","https://openalex.org/W75217752","https://openalex.org/W2048034812","https://openalex.org/W2078995705","https://openalex.org/W2001272800"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"critical":[3,55,103],"configurations":[4],"for":[5],"projective":[6,65],"reconstruction":[7,21],"from":[8,67],"multiple":[9],"images":[10],"taken":[11],"by":[12],"a":[13,17,24,33,64,78,88,98,102,110,119],"camera":[14],"moving":[15],"in":[16,45],"straight":[18,89],"line.":[19],"Projective":[20],"refers":[22],"to":[23,63],"determination":[25],"of":[26,32,35,50,71,81,84,94,109,112],"the":[27,46,68,72],"3D":[28,36],"(three-dimensional)":[29],"geometrical":[30],"configuration":[31,49,79,107],"set":[34,111],"points":[37,44,51,95,113],"and":[38,52,91,114],"cameras,":[39],"given":[40],"only":[41],"correspondences":[42],"between":[43],"images.":[47],"A":[48],"cameras":[53,85,115],"is":[54,75],"if":[56],"it":[57],"cannot":[58],"be":[59],"determined":[60],"uniquely":[61],"(up":[62],"transform)":[66],"image":[69],"coordinates":[70],"points.":[73],"It":[74],"shown":[76],"that":[77],"consisting":[80,108],"any":[82,92],"number":[83,93],"lying":[86,96,117],"on":[87,97,118],"line,":[90],"twisted":[99],"cubic":[100],"constitutes":[101],"configuration.":[104],"An":[105],"alternative":[106],"all":[116],"rational":[120],"quartic":[121],"curve":[122],"exists.":[123]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}