{"id":"https://openalex.org/W2104053192","doi":"https://doi.org/10.1007/s11265-010-0495-4","title":"On Kernel Selection of Multivariate Local Polynomial Modelling and its Application to Image Smoothing and Reconstruction","display_name":"On Kernel Selection of Multivariate Local Polynomial Modelling and its Application to Image Smoothing and Reconstruction","publication_year":2010,"publication_date":"2010-05-29","ids":{"openalex":"https://openalex.org/W2104053192","doi":"https://doi.org/10.1007/s11265-010-0495-4","mag":"2104053192"},"language":"en","primary_location":{"id":"doi:10.1007/s11265-010-0495-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11265-010-0495-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11265-010-0495-4.pdf","source":{"id":"https://openalex.org/S11258463","display_name":"Journal of Signal Processing Systems","issn_l":"1939-8018","issn":["1939-8018","1939-8115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Signal Processing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11265-010-0495-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058325728","display_name":"Z. G. Zhang","orcid":null},"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"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Z. G. Zhang","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China","Department of Electrical and Electronic Engineering, The University of Hong Kong , Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong , Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057049452","display_name":"S. C. Chan","orcid":"https://orcid.org/0000-0001-7212-4182"},"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"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"S. C. Chan","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China","Department of Electrical and Electronic Engineering, The University of Hong Kong , Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong , Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058325728"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.9666,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.80207583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"3","first_page":"361","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9998000264167786,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/kernel","display_name":"Kernel (algebra)","score":0.679197371006012},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6722407341003418},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5913379192352295},{"id":"https://openalex.org/keywords/polynomial-kernel","display_name":"Polynomial kernel","score":0.5577046275138855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5110296010971069},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5066471695899963},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4751410484313965},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.47338834404945374},{"id":"https://openalex.org/keywords/kernel-smoother","display_name":"Kernel smoother","score":0.41975945234298706},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.41432690620422363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40893056988716125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.328299343585968},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.259044349193573},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.22785940766334534},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18842926621437073}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.679197371006012},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6722407341003418},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5913379192352295},{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.5577046275138855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5110296010971069},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5066471695899963},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4751410484313965},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.47338834404945374},{"id":"https://openalex.org/C27406209","wikidata":"https://www.wikidata.org/wiki/Q6394203","display_name":"Kernel smoother","level":5,"score":0.41975945234298706},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.41432690620422363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40893056988716125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.328299343585968},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.259044349193573},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.22785940766334534},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18842926621437073},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11265-010-0495-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11265-010-0495-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11265-010-0495-4.pdf","source":{"id":"https://openalex.org/S11258463","display_name":"Journal of Signal Processing Systems","issn_l":"1939-8018","issn":["1939-8018","1939-8115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Signal Processing Systems","raw_type":"journal-article"},{"id":"pmh:oai:hub.hku.hk:10722/124715","is_oa":true,"landing_page_url":"http://hdl.handle.net/10722/124715","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s11265-010-0495-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11265-010-0495-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11265-010-0495-4.pdf","source":{"id":"https://openalex.org/S11258463","display_name":"Journal of Signal Processing Systems","issn_l":"1939-8018","issn":["1939-8018","1939-8115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Signal Processing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2104053192.pdf","grobid_xml":"https://content.openalex.org/works/W2104053192.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W6022705","https://openalex.org/W90669972","https://openalex.org/W1489950266","https://openalex.org/W1588399399","https://openalex.org/W1595038277","https://openalex.org/W1597926580","https://openalex.org/W1855035704","https://openalex.org/W1973716971","https://openalex.org/W1975285668","https://openalex.org/W1975840851","https://openalex.org/W1987588986","https://openalex.org/W2006262236","https://openalex.org/W2032320709","https://openalex.org/W2043532767","https://openalex.org/W2086104794","https://openalex.org/W2087380704","https://openalex.org/W2089643338","https://openalex.org/W2111226488","https://openalex.org/W2118021080","https://openalex.org/W2118091795","https://openalex.org/W2119302101","https://openalex.org/W2121858988","https://openalex.org/W2124989052","https://openalex.org/W2128784759","https://openalex.org/W2141195893","https://openalex.org/W2155729182","https://openalex.org/W2165939075","https://openalex.org/W2167055721","https://openalex.org/W2167770537","https://openalex.org/W2327998311","https://openalex.org/W2434015445","https://openalex.org/W2480210587","https://openalex.org/W2589126904","https://openalex.org/W2792296590","https://openalex.org/W2796259615","https://openalex.org/W4229766664","https://openalex.org/W4235990564","https://openalex.org/W4238717354","https://openalex.org/W4242951231","https://openalex.org/W4323966308","https://openalex.org/W6600252260","https://openalex.org/W6635844489"],"related_works":["https://openalex.org/W2393746448","https://openalex.org/W1984421104","https://openalex.org/W2512565647","https://openalex.org/W2001772920","https://openalex.org/W2164869055","https://openalex.org/W2182834820","https://openalex.org/W2071590642","https://openalex.org/W2149803014","https://openalex.org/W2890196891","https://openalex.org/W2384322977"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,28,52,104,115,127],"problem":[4],"of":[5,22,95],"adaptive":[6,64],"kernel":[7,43,69,85],"selection":[8],"for":[9,67],"multivariate":[10,26,100],"local":[11,87,93],"polynomial":[12,36],"regression":[13],"(LPR)":[14],"and":[15,20,117,135],"its":[16],"application":[17],"to":[18,72,83,89,92,114],"smoothing":[19,116],"reconstruction":[21,118],"noisy":[23,121],"images.":[24,122],"In":[25],"LPR,":[27],"multidimensional":[29,96],"signals":[30],"are":[31],"modeled":[32],"locally":[33],"by":[34,45],"a":[35,42,46,59,74,132],"using":[37],"least-squares":[38],"(LS)":[39],"criterion":[40],"with":[41,86,107],"controlled":[44],"certain":[47],"bandwidth":[48],"matrix.":[49],"Based":[50],"on":[51],"traditional":[53],"intersection":[54],"confidence":[55],"intervals":[56],"(ICI)":[57],"method,":[58],"new":[60],"refined":[61,108],"ICI":[62,109],"(RICI)":[63],"scale":[65],"selector":[66],"symmetric":[68],"is":[70,80,112],"developed":[71],"achieve":[73],"better":[75,91,133],"bias-variance":[76],"tradeoff.":[77],"The":[78,98],"method":[79,102,110,130],"further":[81],"extended":[82],"steering":[84],"orientation":[88],"adapt":[90],"characteristics":[94],"signals.":[97],"resulting":[99],"LPR":[101,106],"called":[103],"steering-kernel-based":[105],"(SK-LPR-RICI)":[111],"applied":[113],"problems":[119],"in":[120,142],"Simulation":[123],"results":[124],"show":[125],"that":[126],"proposed":[128],"SK-LPR-RICI":[129],"has":[131],"PSNR":[134],"visual":[136],"performance":[137],"than":[138],"conventional":[139],"LPR-based":[140],"methods":[141],"image":[143],"processing.":[144]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}