{"id":"https://openalex.org/W1511569873","doi":"https://doi.org/10.1109/icip.2000.900937","title":"Efficiently estimating projective transformations","display_name":"Efficiently estimating projective transformations","publication_year":2002,"publication_date":"2002-11-11","ids":{"openalex":"https://openalex.org/W1511569873","doi":"https://doi.org/10.1109/icip.2000.900937","mag":"1511569873"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2000.900937","doi":"https://doi.org/10.1109/icip.2000.900937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2000.900937","pdf_url":null,"source":{"id":"https://openalex.org/S4210223844","display_name":"Proceedings - International Conference on Image Processing","issn_l":"1522-4880","issn":["1522-4880","2381-8549"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)","raw_type":"proceedings-article"},"volume":null,"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/A5049207791","display_name":"Richard J. Radke","orcid":"https://orcid.org/0000-0001-5064-7775","observed_orcids":["https://orcid.org/0000-0001-5064-7775"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Radke","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Dept. of Electr. Eng., Princeton Univ., NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041274293","display_name":"Peter J. Ramadge","orcid":"https://orcid.org/0000-0002-3282-216X","observed_orcids":["https://orcid.org/0000-0002-3282-216X"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Ramadge","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Electrical Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Electrical Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086525161","display_name":"Tomio Echigo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"T. Echigo","raw_affiliation_strings":["IBM Tokyo Research Laboratory, Yamato, Kanagawa, Japan","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Tokyo Research Laboratory, Yamato, Kanagawa, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084765814","display_name":"Shun\u2010ichi Iisaku","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Iisaku","raw_affiliation_strings":["Communication Research Laboratory, Ministry of Posts and Telecommunications, Koganei, Tokyo, Japan","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Laboratory, Ministry of Posts and Telecommunications, Koganei, Tokyo, Japan","institution_ids":[]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4057,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.82329905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"232","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.8095999956130981,"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":0.8095999956130981,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.034699998795986176,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.027499999850988388,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homography","display_name":"homography","score":0.8159999847412109},{"id":"https://openalex.org/keywords/homography-estimation","display_name":"homography estimation","score":0.8610000014305115},{"id":"https://openalex.org/keywords/least-squares-optimization","display_name":"least squares optimization","score":0.8289999961853027},{"id":"https://openalex.org/keywords/image-stitching","display_name":"image stitching","score":0.6890000104904175},{"id":"https://openalex.org/keywords/gauss-newton-method","display_name":"Gauss-Newton method","score":0.7929999828338623},{"id":"https://openalex.org/keywords/projection-algorithm","display_name":"projection algorithm","score":0.5429999828338623},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.43299999833106995}],"concepts":[{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5598191022872925},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5311490297317505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5097844004631042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48729240894317627},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4518652558326721},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43975770473480225},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.43434813618659973},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4318191111087799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37501129508018494},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0732162594795227},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icip.2000.900937","doi":"https://doi.org/10.1109/icip.2000.900937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2000.900937","pdf_url":null,"source":{"id":"https://openalex.org/S4210223844","display_name":"Proceedings - International Conference on Image Processing","issn_l":"1522-4880","issn":["1522-4880","2381-8549"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.5636","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.5636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.princeton.edu/~rjradke/pages/../papers/radkeicip00b.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.28.6166","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.6166","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.princeton.edu/~rjradke/pages/../papers/radkepami01.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W107824517","https://openalex.org/W1590739438","https://openalex.org/W1833354933","https://openalex.org/W1967677181","https://openalex.org/W2018089423","https://openalex.org/W2029612144","https://openalex.org/W2110785145","https://openalex.org/W2129249398","https://openalex.org/W2146196065","https://openalex.org/W2147628009","https://openalex.org/W2157802523","https://openalex.org/W2158332932","https://openalex.org/W2159483936","https://openalex.org/W2914259938"],"related_works":["https://openalex.org/W1981139715","https://openalex.org/W3081297148","https://openalex.org/W2382630697","https://openalex.org/W7097304626","https://openalex.org/W1992607738","https://openalex.org/W2268523184","https://openalex.org/W2157802523","https://openalex.org/W7096071760","https://openalex.org/W7099994002","https://openalex.org/W1959148597"],"abstract_inverted_index":{"The":[0],"estimation":[1],"of":[2,5,13,51,55,130,145],"the":[3,11,56,93,99,128,161],"parameters":[4],"a":[6,18,41,48,70,106,114,138,143,146],"projective":[7,107],"transformation":[8,108],"that":[9,21,83,98,127,141,156],"relates":[10],"coordinates":[12],"two":[14],"image":[15,24],"planes":[16],"is":[17,37,84,133,142],"standard":[19],"problem":[20,36,45,65,82,103],"arises":[22],"in":[23,32,60,73,77],"and":[25,30,124,148,153],"video":[26],"mosaicking,":[27],"virtual":[28],"video,":[29],"problems":[31],"computer":[33],"vision.":[34],"This":[35],"often":[38],"posed":[39],"as":[40,92],"least":[42,101,162],"squares":[43,102,163],"minimization":[44,81,117,129],"based":[46],"on":[47],"finite":[49],"set":[50],"noisy":[52],"point":[53],"samples":[54],"underlying":[57],"transformation.":[58],"While":[59],"some":[61],"special":[62],"cases":[63],"this":[64,131,157],"can":[66,109],"be":[67,110],"solved":[68,85],"using":[69,87],"linear":[71],"approximation,":[72],"general,":[74],"it":[75],"results":[76],"an":[78,88,149],"8-dimensional":[79],"nonquadratic":[80,116],"numerically":[86],"'off-the-shelf'":[89],"procedure":[90],"such":[91],"Levenberg-Marquardt":[94],"algorithm.":[95],"We":[96,136],"show":[97],"general":[100],"for":[104],"estimating":[105],"analytically":[111],"reduced":[112],"to":[113],"2-dimensional":[115],"problem.":[118,164],"Moreover,":[119],"we":[120],"provide":[121],"both":[122],"analytical":[123],"experimental":[125],"evidence":[126],"function":[132],"computationally":[134],"attractive.":[135],"propose":[137],"particular":[139],"algorithm":[140,158],"combination":[144],"projection":[147],"approximate":[150],"Gauss-Newton":[151],"scheme,":[152],"experimentally":[154],"verify":[155],"efficiently":[159],"solves":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2016-06-24T00:00:00"}