{"id":"https://openalex.org/W1972543360","doi":"https://doi.org/10.1109/iccvw.2009.5457693","title":"Curve fitting by Spherical Least Squares on two-dimensional sphere","display_name":"Curve fitting by Spherical Least Squares on two-dimensional sphere","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W1972543360","doi":"https://doi.org/10.1109/iccvw.2009.5457693","mag":"1972543360"},"language":"en","primary_location":{"id":"doi:10.1109/iccvw.2009.5457693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccvw.2009.5457693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops","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/A5021333631","display_name":"Jun Fujiki","orcid":null},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Jun Fujiki","raw_affiliation_strings":["National Institute for Advanced Industrial Science and Technology, Tsukuba, Ibaraki, Japan","National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba-shi, Ibaraki, 305-8568 Japan"],"affiliations":[{"raw_affiliation_string":"National Institute for Advanced Industrial Science and Technology, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba-shi, Ibaraki, 305-8568 Japan","institution_ids":["https://openalex.org/I73613424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080238107","display_name":"Shotaro Akaho","orcid":"https://orcid.org/0000-0002-4623-2718"},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shotaro Akaho","raw_affiliation_strings":["National Institute for Advanced Industrial Science and Technology, Tsukuba, Ibaraki, Japan","National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba-shi, Ibaraki, 305-8568 Japan"],"affiliations":[{"raw_affiliation_string":"National Institute for Advanced Industrial Science and Technology, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba-shi, Ibaraki, 305-8568 Japan","institution_ids":["https://openalex.org/I73613424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021333631"],"corresponding_institution_ids":["https://openalex.org/I73613424"],"apc_list":null,"apc_paid":null,"fwci":0.3236,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56859482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"j91 d","issue":null,"first_page":"250","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9988999962806702,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9988999962806702,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.991100013256073,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5859905481338501},{"id":"https://openalex.org/keywords/surface-fitting","display_name":"Surface fitting","score":0.5594726800918579},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4490011930465698},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4105511009693146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4055016338825226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4035700857639313},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.25012457370758057},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1223248541355133}],"concepts":[{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5859905481338501},{"id":"https://openalex.org/C2984999661","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Surface fitting","level":3,"score":0.5594726800918579},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4490011930465698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4105511009693146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4055016338825226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4035700857639313},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.25012457370758057},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1223248541355133},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccvw.2009.5457693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccvw.2009.5457693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W33346649","https://openalex.org/W1564660545","https://openalex.org/W2001133651","https://openalex.org/W2064061501","https://openalex.org/W2116785475","https://openalex.org/W2123678129","https://openalex.org/W2147774191","https://openalex.org/W2155200862","https://openalex.org/W3113812747","https://openalex.org/W6601328464","https://openalex.org/W6787775395"],"related_works":["https://openalex.org/W2075124641","https://openalex.org/W2356803104","https://openalex.org/W2065843430","https://openalex.org/W2357329045","https://openalex.org/W4362709210","https://openalex.org/W2366530409","https://openalex.org/W2392650684","https://openalex.org/W2388353711","https://openalex.org/W1964353947","https://openalex.org/W2391876428"],"abstract_inverted_index":{"To":[0],"measure":[1],"the":[2,22,34,43,48,66,84,94,114,121,127],"similarity":[3],"between":[4,36],"two":[5,37],"high":[6,23,53,71],"dimensional":[7,24,54,72],"vector":[8,55,73],"data,":[9,93],"correlation":[10],"coefficient":[11],"is":[12,40,107,110,117],"often":[13],"used":[14],"instead":[15],"of":[16,65,87,96,126],"Euclidean":[17],"distance.":[18],"For":[19],"this":[20,81],"purpose,":[21],"vectors":[25],"are":[26,75],"mapped":[27],"into":[28],"hyperspherical":[29,38,78],"points":[30],"by":[31,103,124],"normalization,":[32],"and":[33],"distance":[35],"data":[39,56,74,102],"measured":[41],"as":[42,60,77],"length":[44,67],"along":[45,68],"geodesic":[46,69],"on":[47],"hypersphere.":[49],"Then":[50],"estimations":[51],"from":[52],"should":[57],"be":[58],"resolved":[59],"minimizing":[61],"appropriate":[62],"energy":[63],"function":[64],"when":[70],"regarded":[76],"data.":[79],"In":[80],"paper,":[82],"for":[83],"first":[85],"step":[86],"hyper":[88],"surface":[89],"fitting":[90,98,123],"to":[91,99,120],"hyperspehrical":[92],"method":[95,116],"curve":[97,122],"two-dimensional":[100],"spherical":[101],"Spherical":[104],"Least":[105],"Squares":[106],"proposed.":[108],"It":[109],"also":[111],"shown":[112],"that":[113],"proposed":[115],"closely":[118],"related":[119],"Euclidenization":[125],"metric.":[128]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}