{"id":"https://openalex.org/W2079836821","doi":"https://doi.org/10.1109/icarcv.2012.6485396","title":"A note on the number of solutions of the coplanar P4P problem","display_name":"A note on the number of solutions of the coplanar P4P problem","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2079836821","doi":"https://doi.org/10.1109/icarcv.2012.6485396","mag":"2079836821"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2012.6485396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2012.6485396","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Conference on Control Automation Robotics & Vision (ICARCV)","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/A5100701469","display_name":"Yang Guo","orcid":"https://orcid.org/0000-0002-1524-9103"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Guo","raw_affiliation_strings":["Department of Mathematics, Northeastern University, Shenyang, China","Department of Mathematics, Northeastern University, Shenyang, P.R. China 110004#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Department of Mathematics, Northeastern University, Shenyang, P.R. China 110004#TAB#","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100701469"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1413","last_page":"1418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9998000264167786,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9995999932289124,"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/T10638","display_name":"Optical measurement and interference techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7691584825515747},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.6796749234199524},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6246945261955261},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6155269145965576},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6048202514648438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4575745761394501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45064008235931396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43869033455848694},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.4272739589214325},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30653518438339233},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21298843622207642}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7691584825515747},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6796749234199524},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6246945261955261},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6155269145965576},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6048202514648438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4575745761394501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45064008235931396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43869033455848694},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4272739589214325},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30653518438339233},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21298843622207642},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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":1,"locations":[{"id":"doi:10.1109/icarcv.2012.6485396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2012.6485396","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Conference on Control Automation Robotics & Vision (ICARCV)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1985565156","https://openalex.org/W1987609185","https://openalex.org/W1988874269","https://openalex.org/W1989367821","https://openalex.org/W1991544872","https://openalex.org/W1992989752","https://openalex.org/W2031098190","https://openalex.org/W2052203850","https://openalex.org/W2069893917","https://openalex.org/W2085261163","https://openalex.org/W2122612384","https://openalex.org/W2129613645","https://openalex.org/W2134237713","https://openalex.org/W2141170819","https://openalex.org/W2162440713"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2795378890","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2012685253","https://openalex.org/W2037437483","https://openalex.org/W3100053256","https://openalex.org/W2373292822","https://openalex.org/W3017139193","https://openalex.org/W2377924059"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,68,116],"novel":[3],"constrained":[4],"system":[5,69],"for":[6],"the":[7,27,30,33,38,52,59,63,79,85,89,105,129,133],"coplanar":[8,47,53,90],"P4P":[9,54,91],"problem.":[10],"By":[11],"converting":[12],"perspective":[13],"transformation":[14,17],"to":[15,21,127],"affine":[16,23],"and":[18,37,49,101],"using":[19],"invariance":[20],"3D":[22],"transformation,":[24],"we":[25,75,113],"explore":[26],"relationship":[28],"between":[29],"image":[31,136],"of":[32,41,61,67,70,88,107,109,135,141],"absolute":[34],"conic":[35],"(IAC)":[36],"world":[39],"coordinate":[40],"camera":[42,130],"optical":[43],"center":[44],"from":[45],"four":[46,80],"correspondences":[48],"show":[50],"how":[51],"problem":[55,92],"is":[56,99],"cast":[57],"into":[58],"problems":[60],"solving":[62,117],"common":[64],"intersection":[65],"points":[66,82],"five":[71],"spheres.":[72],"In":[73],"particular,":[74],"claim":[76],"that,":[77],"if":[78],"control":[81],"are":[83,144],"coplanar,":[84],"upper":[86],"bound":[87],"under":[93,132],"distance-based":[94],"definition":[95,98],"or":[96],"orthogonal-transformation-based":[97],"2":[100],"also":[102,114],"attainable.":[103],"From":[104],"point":[106],"view":[108],"efficient":[110],"numerical":[111],"solution,":[112],"propose":[115],"technique":[118],"based":[119],"on":[120,148],"singular":[121],"value":[122],"decomposition":[123],"(SVD)":[124],"in":[125],"order":[126],"estimating":[128],"pose":[131],"effects":[134],"noise.":[137],"Finally,":[138],"The":[139],"advantages":[140],"our":[142],"method":[143],"demonstrated":[145],"by":[146],"testing":[147],"synthetic":[149],"data.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}