{"id":"https://openalex.org/W2164405971","doi":"https://doi.org/10.1109/cdc.2007.4434300","title":"Optimal smoothing and interpolating splines with constraints","display_name":"Optimal smoothing and interpolating splines with constraints","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2164405971","doi":"https://doi.org/10.1109/cdc.2007.4434300","mag":"2164405971"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434300","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434300","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5112612357","display_name":"Hiroyuki Kano","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroyuki Kano","raw_affiliation_strings":["Department of Information Sciences, Tokyo Denki University, Saitama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Sciences, Tokyo Denki University, Saitama, Japan","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110601611","display_name":"Hiroyuki Fujioka","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyuki Fujioka","raw_affiliation_strings":["Department of Information Sciences, Tokyo Denki University, Saitama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Sciences, Tokyo Denki University, Saitama, Japan","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044435554","display_name":"Clyde F. Martin","orcid":"https://orcid.org/0000-0002-5449-0653"},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Clyde Martin","raw_affiliation_strings":["Department of Information Sciences, Tokyo Denki University, Saitama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Sciences, Tokyo Denki University, Saitama, Japan","institution_ids":["https://openalex.org/I165522056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112612357"],"corresponding_institution_ids":["https://openalex.org/I165522056"],"apc_list":null,"apc_paid":null,"fwci":0.8353,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76272341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3011","last_page":"3016"},"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9814000129699707,"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"}},{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9527000188827515,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/smoothing","display_name":"Smoothing","score":0.8306362628936768},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6850095987319946},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.5933939218521118},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.5921042561531067},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5917600989341736},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5770499110221863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5566598773002625},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5316396951675415},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.47880205512046814},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47602206468582153},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4694269299507141},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.45591768622398376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4413113594055176},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4350045323371887},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4288616478443146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1277449131011963},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.07322987914085388},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.06939038634300232},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.061474233865737915}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8306362628936768},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6850095987319946},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.5933939218521118},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.5921042561531067},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5917600989341736},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5770499110221863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5566598773002625},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5316396951675415},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.47880205512046814},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47602206468582153},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4694269299507141},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.45591768622398376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4413113594055176},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4350045323371887},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4288616478443146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1277449131011963},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.07322987914085388},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.06939038634300232},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061474233865737915},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434300","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434300","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1550895009","https://openalex.org/W1975087387","https://openalex.org/W2026074868","https://openalex.org/W2046930170","https://openalex.org/W2055647543","https://openalex.org/W2057645974","https://openalex.org/W2099942006","https://openalex.org/W2154965783","https://openalex.org/W2162870748","https://openalex.org/W2479328930","https://openalex.org/W2987171304"],"related_works":["https://openalex.org/W2165066371","https://openalex.org/W2138584164","https://openalex.org/W1690623585","https://openalex.org/W2060760694","https://openalex.org/W2945114593","https://openalex.org/W2964021668","https://openalex.org/W2139329837","https://openalex.org/W2245728221","https://openalex.org/W33357285","https://openalex.org/W2789880140"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5],"systematic":[6],"method":[7],"for":[8],"designing":[9],"optimal":[10],"smoothing":[11],"splines":[12,19],"with":[13],"equality":[14],"and/or":[15],"inequality":[16],"constraints.":[17],"The":[18],"are":[20,38],"constituted":[21],"employing":[22],"normalized":[23],"uniform":[24],"B-splines":[25],"as":[26,40],"the":[27,44,49,58],"basis":[28],"functions.":[29],"It":[30],"is":[31],"shown":[32],"that":[33],"various":[34],"types":[35],"of":[36,43],"constraints":[37],"formulated":[39],"linear":[41],"function":[42],"so-called":[45],"control":[46],"points,":[47],"and":[48,60],"problems":[50],"reduce":[51],"to":[52],"quadratic":[53],"programming":[54],"problems.":[55],"We":[56],"demonstrate":[57],"effectiveness":[59],"usefulness":[61],"by":[62],"numerical":[63],"examples.":[64]},"counts_by_year":[{"year":2014,"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"}
