{"id":"https://openalex.org/W1992995879","doi":"https://doi.org/10.1080/09511921003682648","title":"An automatic method of measuring foot girths for custom footwear using local RBF implicit surfaces","display_name":"An automatic method of measuring foot girths for custom footwear using local RBF implicit surfaces","publication_year":2010,"publication_date":"2010-05-28","ids":{"openalex":"https://openalex.org/W1992995879","doi":"https://doi.org/10.1080/09511921003682648","mag":"1992995879"},"language":"en","primary_location":{"id":"doi:10.1080/09511921003682648","is_oa":false,"landing_page_url":"https://doi.org/10.1080/09511921003682648","pdf_url":null,"source":{"id":"https://openalex.org/S57062392","display_name":"International Journal of Computer Integrated Manufacturing","issn_l":"0951-192X","issn":["0951-192X","1362-3052"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Integrated Manufacturing","raw_type":"journal-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/A5100839556","display_name":"Yihua Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yihua Ding","raw_affiliation_strings":["Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","Computer School, Wuhan University, Hubei, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computer School, Wuhan University, Hubei, PR, China#TAB#","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012438499","display_name":"Jianhui Zhao","orcid":"https://orcid.org/0000-0001-5803-2564"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianhui Zhao","raw_affiliation_strings":["Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","Computer School, Wuhan University, Hubei, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computer School, Wuhan University, Hubei, PR, China#TAB#","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025002604","display_name":"Ravindra S. Goonetilleke","orcid":"https://orcid.org/0000-0003-1554-3895"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ravindra S. Goonetilleke","raw_affiliation_strings":["Department of Industrial Engineering and Logistics Management , Hong Kong University of Science and Technology ,  Hong Kong","Dept. of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Logistics Management , Hong Kong University of Science and Technology ,  Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept. of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035122974","display_name":"Shuping Xiong","orcid":"https://orcid.org/0000-0003-1549-515X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuping Xiong","raw_affiliation_strings":["Department of Industrial Engineering and Logistics Management , Shanghai Jiao Tong University , Shanghai, 200240, PR,  China","Department of Industrial Engineering and Logistics Management, Shanghai Jiao Tong University, Shanghai, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Logistics Management , Shanghai Jiao Tong University , Shanghai, 200240, PR,  China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Department of Industrial Engineering and Logistics Management, Shanghai Jiao Tong University, Shanghai, PR, China#TAB#","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101999635","display_name":"Zhiyong Yuan","orcid":"https://orcid.org/0000-0001-9608-6037"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyong Yuan","raw_affiliation_strings":["Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","Computer School, Wuhan University, Hubei, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computer School, Wuhan University, Hubei, PR, China#TAB#","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112108029","display_name":"Yuanyuan Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Zhang","raw_affiliation_strings":["Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","Computer School, Wuhan University, Hubei, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computer School, Wuhan University, Hubei, PR, China#TAB#","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027540915","display_name":"Chengjiang Long","orcid":"https://orcid.org/0000-0003-1584-7290"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengjiang Long","raw_affiliation_strings":["Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","Computer School, Wuhan University, Hubei, PR, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer School, Wuhan University , Wuhan, Hubei, 430079, PR,  China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computer School, Wuhan University, Hubei, PR, China#TAB#","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5012438499"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":0.6374,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68492065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"6","first_page":"574","last_page":"583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9991000294685364,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9991000294685364,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/point-cloud","display_name":"Point cloud","score":0.7131510972976685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.586894690990448},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5272770524024963},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.48882290720939636},{"id":"https://openalex.org/keywords/octree","display_name":"Octree","score":0.45686978101730347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44495949149131775},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4112963080406189},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33511772751808167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2604772746562958},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13470998406410217}],"concepts":[{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.7131510972976685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.586894690990448},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5272770524024963},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.48882290720939636},{"id":"https://openalex.org/C141297171","wikidata":"https://www.wikidata.org/wiki/Q1143237","display_name":"Octree","level":2,"score":0.45686978101730347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44495949149131775},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4112963080406189},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33511772751808167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2604772746562958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13470998406410217},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/09511921003682648","is_oa":false,"landing_page_url":"https://doi.org/10.1080/09511921003682648","pdf_url":null,"source":{"id":"https://openalex.org/S57062392","display_name":"International Journal of Computer Integrated Manufacturing","issn_l":"0951-192X","issn":["0951-192X","1362-3052"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Integrated Manufacturing","raw_type":"journal-article"},{"id":"pmh:oai:repository.ust.hk:1783.1-7178","is_oa":false,"landing_page_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000278001900007","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/6242","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=77952925571","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1964229179","https://openalex.org/W1964430688","https://openalex.org/W1965758138","https://openalex.org/W1975433461","https://openalex.org/W1976041941","https://openalex.org/W1977758817","https://openalex.org/W1980414279","https://openalex.org/W2022204099","https://openalex.org/W2022565954","https://openalex.org/W2029815803","https://openalex.org/W2050203749","https://openalex.org/W2054016372","https://openalex.org/W2060410916","https://openalex.org/W2073897616","https://openalex.org/W2094813232","https://openalex.org/W2099953968","https://openalex.org/W2105800794","https://openalex.org/W2106179204","https://openalex.org/W2112440119","https://openalex.org/W2112463414","https://openalex.org/W2116131792","https://openalex.org/W2130938974","https://openalex.org/W2135203761","https://openalex.org/W2140798815","https://openalex.org/W2143168718","https://openalex.org/W2154097358","https://openalex.org/W2164647324","https://openalex.org/W2229412420","https://openalex.org/W2998100778","https://openalex.org/W4233857083","https://openalex.org/W4234158728","https://openalex.org/W4285719527","https://openalex.org/W4298870207"],"related_works":["https://openalex.org/W2776826689","https://openalex.org/W2348653124","https://openalex.org/W2089908184","https://openalex.org/W2392270594","https://openalex.org/W2392034603","https://openalex.org/W4200108838","https://openalex.org/W2352029666","https://openalex.org/W2394211896","https://openalex.org/W2082964865","https://openalex.org/W2034318954"],"abstract_inverted_index":{"Three-dimensional":[0],"point":[1,62],"cloud":[2,63],"data":[3],"of":[4,23,30,60,72,89,118],"a":[5],"foot":[6],"are":[7,43,136,146],"used":[8],"to":[9,32,92],"determine":[10],"the":[11,58,61,70,73,87,100,114,119,149,157],"critical":[12],"dimensions":[13],"for":[14,40,81],"making":[15],"custom":[16,177],"footwear.":[17],"However,":[18],"automatic":[19],"and":[20,35,127,132,166],"accurate":[21,167],"measurement":[22,151],"dimensions,":[24],"especially":[25],"girths,":[26],"is":[27,54],"an":[28],"issue":[29],"concern":[31],"many":[33],"designers":[34],"footwear":[36,178],"developers.":[37],"Existing":[38],"methods":[39],"measuring":[41,82],"girths":[42,83],"primarily":[44],"based":[45],"on":[46,57,94],"points":[47],"or":[48],"generated":[49,101],"triangles,":[50],"but":[51],"their":[52],"accuracy":[53],"heavily":[55],"dependent":[56],"density":[59],"data.":[64],"In":[65],"this":[66],"paper":[67],"we":[68],"present":[69],"use":[71],"Radial":[74],"Basis":[75],"Function":[76],"(RBF)":[77],"surface":[78,102,123,161],"modelling":[79],"technique":[80],"as":[84],"it":[85],"has":[86],"advantage":[88],"being":[90],"able":[91],"operate":[93],"unorganised":[95],"three-dimensional":[96],"points,":[97],"so":[98],"that":[99,156],"passes":[103],"through":[104],"every":[105],"scanned":[106],"point,":[107],"while":[108],"repairing":[109],"incomplete":[110],"meshes.":[111],"To":[112],"overcome":[113],"high":[115],"computational":[116],"expense":[117],"RBF":[120,159],"method,":[121],"local":[122,158],"recovery,":[124],"octree":[125],"division":[126],"combination,":[128],"inverse":[129],"power":[130],"method":[131],"improved":[133],"Cholesky":[134],"factorisation":[135],"used.":[137],"The":[138],"girth":[139],"measurements":[140,168],"obtained":[141],"from":[142],"adopting":[143],"these":[144],"approaches":[145],"compared":[147],"against":[148],"existing":[150],"methods.":[152],"Experimental":[153],"results":[154],"demonstrate":[155],"implicit":[160],"can":[162],"provide":[163],"more":[164],"stable":[165],"using":[169],"relatively":[170],"less":[171],"time,":[172],"proving":[173],"its":[174],"value":[175],"in":[176],"manufacture.":[179]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
