{"id":"https://openalex.org/W2087401054","doi":"https://doi.org/10.1109/tip.2011.2150234","title":"Image Interpolation Via Regularized Local Linear Regression","display_name":"Image Interpolation Via Regularized Local Linear Regression","publication_year":2011,"publication_date":"2011-05-13","ids":{"openalex":"https://openalex.org/W2087401054","doi":"https://doi.org/10.1109/tip.2011.2150234","mag":"2087401054","pmid":"https://pubmed.ncbi.nlm.nih.gov/21571611"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2011.2150234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2150234","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100654393","display_name":"Xianming Liu","orcid":"https://orcid.org/0000-0003-3440-628X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianming Liu","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, China. xmliu@jdl.ac.cn","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, China. xmliu@jdl.ac.cn","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600353","display_name":"Debin Zhao","orcid":"https://orcid.org/0000-0003-3434-9967"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Debin Zhao","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013727612","display_name":"Ruiqin Xiong","orcid":"https://orcid.org/0000-0001-9796-0478"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiqin Xiong","raw_affiliation_strings":["National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","National Engineering Lab. for Video Technology, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"National Engineering Lab. for Video Technology, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039832462","display_name":"Siwei Ma","orcid":"https://orcid.org/0000-0002-2731-5403"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siwei Ma","raw_affiliation_strings":["National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","National Engineering Lab. for Video Technology, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"National Engineering Lab. for Video Technology, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100865935","display_name":"Wen Gao","orcid":"https://orcid.org/0009-0002-0139-2627"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen Gao","raw_affiliation_strings":["National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","National Engineering Lab. for Video Technology, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"National Engineering Laboratory of Video Technology, and Key Laboratory of School of Electrical Engineering and Computer ScienceMachine Perception (MoE),, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"National Engineering Lab. for Video Technology, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103071044","display_name":"Huifang Sun","orcid":"https://orcid.org/0000-0003-2918-1522"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]},{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Huifang Sun","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100654393"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":7.8477,"has_fulltext":false,"cited_by_count":131,"citation_normalized_percentile":{"value":0.97977403,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"20","issue":"12","first_page":"3455","last_page":"3469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":1.0,"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/T11105","display_name":"Advanced Image Processing Techniques","score":1.0,"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/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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9991999864578247,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.6106926798820496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5212112665176392},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.479413241147995},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4682914614677429},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4662059545516968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4369148313999176},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.43383270502090454},{"id":"https://openalex.org/keywords/image-scaling","display_name":"Image scaling","score":0.42858392000198364},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.41891953349113464},{"id":"https://openalex.org/keywords/local-regression","display_name":"Local regression","score":0.4160999655723572},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.40604937076568604},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3874293267726898},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34248241782188416},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3050140142440796},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.19292095303535461}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6106926798820496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5212112665176392},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.479413241147995},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4682914614677429},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4662059545516968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4369148313999176},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.43383270502090454},{"id":"https://openalex.org/C27405340","wikidata":"https://www.wikidata.org/wiki/Q440296","display_name":"Image scaling","level":4,"score":0.42858392000198364},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.41891953349113464},{"id":"https://openalex.org/C60316415","wikidata":"https://www.wikidata.org/wiki/Q6664520","display_name":"Local regression","level":4,"score":0.4160999655723572},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.40604937076568604},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3874293267726898},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34248241782188416},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3050140142440796},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.19292095303535461}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2011.2150234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2150234","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:21571611","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21571611","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.453.1469","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.453.1469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jdl.ac.cn/doc/2011/201112619364447185_%E5%88%98%E8%B4%A4%E6%98%8E%E2%80%94%E6%9C%9F%E5%88%8Aimage interpolation via regularized.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W33296041","https://openalex.org/W1486164486","https://openalex.org/W1672651452","https://openalex.org/W1993392281","https://openalex.org/W2003900952","https://openalex.org/W2006262236","https://openalex.org/W2012876210","https://openalex.org/W2044011870","https://openalex.org/W2061649600","https://openalex.org/W2073996209","https://openalex.org/W2099244020","https://openalex.org/W2103559027","https://openalex.org/W2104290444","https://openalex.org/W2107426251","https://openalex.org/W2121661625","https://openalex.org/W2122398249","https://openalex.org/W2124378283","https://openalex.org/W2127274131","https://openalex.org/W2133665775","https://openalex.org/W2136396015","https://openalex.org/W2141983208","https://openalex.org/W2148510180","https://openalex.org/W2156909104","https://openalex.org/W2157190232","https://openalex.org/W2157494358","https://openalex.org/W2171290889","https://openalex.org/W2172128189","https://openalex.org/W4256414470","https://openalex.org/W6601367452","https://openalex.org/W6637440607","https://openalex.org/W6672401937"],"related_works":["https://openalex.org/W2082634395","https://openalex.org/W2361821952","https://openalex.org/W2390710228","https://openalex.org/W3080827050","https://openalex.org/W2367652182","https://openalex.org/W2359696437","https://openalex.org/W2372506239","https://openalex.org/W2590654039","https://openalex.org/W2037074416","https://openalex.org/W1519931592"],"abstract_inverted_index":{"The":[0,184],"linear":[1,85,91],"regression":[2,86,92],"model":[3,93,186],"is":[4,40],"a":[5,52,76,111,192,197],"very":[6,213],"attractive":[7],"tool":[8],"to":[9,110],"design":[10],"effective":[11],"image":[12,17,78,116,223],"interpolation":[13,18,43,79,219],"schemes.":[14],"Some":[15],"regression-based":[16],"algorithms":[19],"have":[20,47],"been":[21],"proposed":[22,210],"in":[23,26,71,222],"the":[24,28,65,90,97,102,120,128,131,147,165,169,209,217],"literature,":[25],"which":[27],"objective":[29],"functions":[30],"are":[31],"optimized":[32],"by":[33,137,151,174,195],"ordinary":[34],"least":[35,104],"squares":[36,105],"(OLS).":[37],"However,":[38],"it":[39],"shown":[41],"that":[42,208],"with":[44,89,101,191,216],"OLS":[45,98],"may":[46],"some":[48],"undesirable":[49],"properties":[50],"from":[51],"robustness":[53],"point":[54],"of":[55,60,114,154,168],"view:":[56],"even":[57],"small":[58],"amounts":[59],"outliers":[61],"can":[62,188],"dramatically":[63],"affect":[64],"estimates.":[66],"To":[67,118],"address":[68],"these":[69],"issues,":[70],"this":[72],"paper":[73],"we":[74,95,126,144],"propose":[75],"novel":[77],"algorithm":[80],"based":[81],"on":[82,140,203],"regularized":[83],"local":[84,115,180],"(RLLR).":[87],"Starting":[88],"where":[94],"replace":[96],"error":[99,107],"norm":[100,108],"moving":[103],"(MLS)":[106],"leads":[109],"robust":[112],"estimator":[113,132],"structure.":[117],"keep":[119],"solution":[121,194],"stable":[122],"and":[123,157],"avoid":[124],"overfitting,":[125],"incorporate":[127],"l(2)-norm":[129],"as":[130,177],"complexity":[133],"penalty.":[134],"Moreover,":[135],"motivated":[136],"recent":[138],"progress":[139],"manifold-based":[141],"semi-supervised":[142],"learning,":[143],"explicitly":[145],"consider":[146],"intrinsic":[148],"manifold":[149],"structure":[150,167,225],"making":[152],"use":[153],"both":[155],"measured":[156],"unmeasured":[158,175],"data":[159],"points.":[160],"Specifically,":[161],"our":[162],"framework":[163],"incorporates":[164],"geometric":[166],"marginal":[170],"probability":[171],"distribution":[172],"induced":[173],"samples":[176],"an":[178],"additional":[179],"smoothness":[181],"preserving":[182],"constraint.":[183],"optimal":[185],"parameters":[187],"be":[189],"obtained":[190],"closed-form":[193],"solving":[196],"convex":[198],"optimization":[199],"problem.":[200],"Experimental":[201],"results":[202],"benchmark":[204],"test":[205],"images":[206],"demonstrate":[207],"method":[211],"achieves":[212],"competitive":[214],"performance":[215],"state-of-the-art":[218],"algorithms,":[220],"especially":[221],"edge":[224],"preservation.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
