{"id":"https://openalex.org/W2171841084","doi":"https://doi.org/10.1142/s0219691307001598","title":"SUPPORT VECTOR MACHINE SOLVING FREEFORM CURVE AND SURFACE RECONSTRUCTION PROBLEM","display_name":"SUPPORT VECTOR MACHINE SOLVING FREEFORM CURVE AND SURFACE RECONSTRUCTION PROBLEM","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2171841084","doi":"https://doi.org/10.1142/s0219691307001598","mag":"2171841084"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691307001598","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001598","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5051273783","display_name":"Zhixia Yang","orcid":"https://orcid.org/0000-0003-0446-4278"},"institutions":[{"id":"https://openalex.org/I52158045","display_name":"China Agricultural University","ror":"https://ror.org/04v3ywz14","country_code":"CN","type":"education","lineage":["https://openalex.org/I52158045"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"ZHIXIA YANG","raw_affiliation_strings":["College of Science, China Agricultural University, Beijing, 100083, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, China Agricultural University, Beijing, 100083, P. R. China","institution_ids":["https://openalex.org/I52158045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043753704","display_name":"Ling Jing","orcid":"https://orcid.org/0000-0001-7813-6512"},"institutions":[{"id":"https://openalex.org/I52158045","display_name":"China Agricultural University","ror":"https://ror.org/04v3ywz14","country_code":"CN","type":"education","lineage":["https://openalex.org/I52158045"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LING JING","raw_affiliation_strings":["College of Science, China Agricultural University, Beijing, 100083, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, China Agricultural University, Beijing, 100083, P. R. China","institution_ids":["https://openalex.org/I52158045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051273783"],"corresponding_institution_ids":["https://openalex.org/I52158045"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19776834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"05","issue":"01","first_page":"159","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"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":0.9979000091552734,"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/support-vector-machine","display_name":"Support vector machine","score":0.847603976726532},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6639300584793091},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6018872261047363},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5640951991081238},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.520551323890686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4795405864715576},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.47899720072746277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45510804653167725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4448603391647339},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43671494722366333},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.370439350605011},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3696765899658203},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2671017050743103},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1590038239955902},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11114081740379333}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.847603976726532},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6639300584793091},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6018872261047363},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5640951991081238},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.520551323890686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4795405864715576},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.47899720072746277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45510804653167725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4448603391647339},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43671494722366333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.370439350605011},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3696765899658203},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2671017050743103},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1590038239955902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11114081740379333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691307001598","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001598","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4300000071525574}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W216127784","https://openalex.org/W1496317909","https://openalex.org/W1504099655","https://openalex.org/W1596717185","https://openalex.org/W1601740268","https://openalex.org/W1978996791","https://openalex.org/W1984230865","https://openalex.org/W1995558350","https://openalex.org/W2007154098","https://openalex.org/W2013465011","https://openalex.org/W2078263033","https://openalex.org/W2119821739","https://openalex.org/W2157395375","https://openalex.org/W2205099983"],"related_works":["https://openalex.org/W1967890210","https://openalex.org/W2075925377","https://openalex.org/W2156220498","https://openalex.org/W2162968378","https://openalex.org/W2904746142","https://openalex.org/W2280482922","https://openalex.org/W2287062289","https://openalex.org/W219060608","https://openalex.org/W1972621397","https://openalex.org/W4311458618"],"abstract_inverted_index":{"Reconstruction":[0],"of":[1,9,55],"mathematically":[2],"unknown":[3],"freeform":[4],"curve":[5,30,106,125],"and":[6,31,44,107,126],"surface":[7,32,108,127],"is":[8,24,41,83],"paramount":[10],"importance":[11],"for":[12,47],"reverse":[13],"engineering.":[14],"This":[15],"problem":[16],"belongs":[17],"to":[18,34,63,66,114],"a":[19,25,42,73],"regression":[20,49,105],"problem,":[21],"but":[22],"there":[23],"particular":[26],"requirement,":[27],"namely":[28],"the":[29,48,52,89,100,134],"have":[33],"be":[35,110],"smooth.":[36],"Support":[37],"vector":[38,80],"machine":[39,81],"(SVM)":[40],"new":[43,86,117],"powerful":[45],"method":[46],"problem.":[50],"However,":[51],"fitting":[53,128],"results":[54],"SVM":[56],"are":[57,129],"usually":[58],"not":[59],"smooth":[60,78,101,104],"enough":[61],"due":[62],"its":[64],"sensitivity":[65],"outliers":[67],"or":[68],"noises.":[69],"In":[70,112],"this":[71,116],"paper,":[72],"modified":[74],"version,":[75],"called":[76],"as":[77],"support":[79],"(S-SVM),":[82],"proposed.":[84],"The":[85],"version":[87,118],"treats":[88],"training":[90],"points":[91],"differently":[92],"by":[93],"constructing":[94],"their":[95],"penalty":[96],"factors":[97],"based":[98],"on":[99,123],"degree,":[102],"so":[103],"can":[109],"obtained.":[111],"order":[113],"compare":[115],"with":[119],"SVM,":[120],"numerical":[121],"experiments":[122],"both":[124],"given,":[130],"which":[131],"show":[132],"clearly":[133],"improvements.":[135]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}