{"id":"https://openalex.org/W2121527326","doi":"https://doi.org/10.1109/cgi.2005.1500379","title":"Total least squares fitting of point sets in m-D","display_name":"Total least squares fitting of point sets in m-D","publication_year":2005,"publication_date":"2005-08-30","ids":{"openalex":"https://openalex.org/W2121527326","doi":"https://doi.org/10.1109/cgi.2005.1500379","mag":"2121527326"},"language":"en","primary_location":{"id":"doi:10.1109/cgi.2005.1500379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cgi.2005.1500379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International 2005 Computer Graphics","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/A5059141031","display_name":"Gaojin Wen","orcid":"https://orcid.org/0000-0002-8681-7147"},"institutions":[{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gaojin Wen","raw_affiliation_strings":["Graduate school. CAS, Institute of Computing Technology, Chinese Academy of Sciences, China"],"affiliations":[{"raw_affiliation_string":"Graduate school. CAS, Institute of Computing Technology, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100784056","display_name":"Dengming Zhu","orcid":"https://orcid.org/0000-0001-5078-5780"},"institutions":[{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dengming Zhu","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035528139","display_name":"Shihong Xia","orcid":"https://orcid.org/0000-0002-7228-9646"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihong Xia","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092002420","display_name":"Zhaoqi Wang","orcid":"https://orcid.org/0000-0001-5805-7307"},"institutions":[{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaoqi Wang","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059141031"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210090176"],"apc_list":null,"apc_paid":null,"fwci":3.55,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92207278,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"82","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9997000098228455,"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":0.9997000098228455,"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/T12549","display_name":"Image and Object Detection 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"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9976000189781189,"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/robustness","display_name":"Robustness (evolution)","score":0.7224623560905457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5724249482154846},{"id":"https://openalex.org/keywords/photogrammetry","display_name":"Photogrammetry","score":0.56858891248703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5642938017845154},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5016520023345947},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.48542889952659607},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4712294340133667},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4556082487106323},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.44658640027046204},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.42164739966392517},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.37584227323532104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37168437242507935},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2678614854812622},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.15259385108947754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1461450457572937}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7224623560905457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5724249482154846},{"id":"https://openalex.org/C117455697","wikidata":"https://www.wikidata.org/wiki/Q190149","display_name":"Photogrammetry","level":2,"score":0.56858891248703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5642938017845154},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5016520023345947},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.48542889952659607},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4712294340133667},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4556082487106323},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.44658640027046204},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.42164739966392517},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.37584227323532104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37168437242507935},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2678614854812622},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.15259385108947754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1461450457572937},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cgi.2005.1500379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cgi.2005.1500379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International 2005 Computer Graphics","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":14,"referenced_works":["https://openalex.org/W1993267444","https://openalex.org/W1996210803","https://openalex.org/W2042875787","https://openalex.org/W2073531546","https://openalex.org/W2091315809","https://openalex.org/W2094694151","https://openalex.org/W2113130752","https://openalex.org/W2128019145","https://openalex.org/W2159593339","https://openalex.org/W2165053603","https://openalex.org/W2165369560","https://openalex.org/W4246543077","https://openalex.org/W4246568043","https://openalex.org/W6673713417"],"related_works":["https://openalex.org/W2365572566","https://openalex.org/W2394068580","https://openalex.org/W2525880111","https://openalex.org/W2369515111","https://openalex.org/W2051732542","https://openalex.org/W1902541973","https://openalex.org/W2101607253","https://openalex.org/W2020829175","https://openalex.org/W2379433588","https://openalex.org/W3005012932"],"abstract_inverted_index":{"The":[0],"absolute":[1],"orientation":[2],"technique,":[3],"minimizing":[4],"the":[5,21,63,68],"mean":[6,64],"squared":[7,65],"error":[8,66],"between":[9,67],"two":[10],"matched":[11],"point":[12,53,59,70,75],"sets":[13,60,71],"under":[14],"similarity":[15],"transformations,":[16],"has":[17],"numerously":[18],"applied":[19],"in":[20,40],"areas":[22],"of":[23],"photogrammetry,":[24],"robotics,":[25],"object":[26,32],"motion":[27],"analysis":[28],"as":[29,31],"well":[30],"pose":[33],"estimation":[34],"following":[35],"recognition.":[36],"Based":[37],"on":[38],"it,":[39],"this":[41],"paper,":[42],"a":[43,51],"total":[44],"least":[45],"squares":[46],"fitting":[47],"algorithm,":[48],"which":[49],"generates":[50],"fixed":[52,69],"set":[54],"from":[55],"k":[56,74],"corresponding":[57],"original":[58],"and":[61,72,79,82,93],"minimizes":[62],"these":[73],"sets,":[76],"is":[77],"proposed":[78],"proved.":[80],"Experiments":[81],"interesting":[83],"applications":[84],"are":[85],"also":[86],"presented":[87],"to":[88],"show":[89],"its":[90],"efficiency,":[91],"accuracy":[92],"robustness.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"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"}
