{"id":"https://openalex.org/W2074892488","doi":"https://doi.org/10.1080/00207160.2015.1011144","title":"An improved noise removal model based on nonlinear fourth-order partial differential equations","display_name":"An improved noise removal model based on nonlinear fourth-order partial differential equations","publication_year":2015,"publication_date":"2015-02-26","ids":{"openalex":"https://openalex.org/W2074892488","doi":"https://doi.org/10.1080/00207160.2015.1011144","mag":"2074892488"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1011144","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1011144","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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 Mathematics","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/A5100746450","display_name":"Dehua Wang","orcid":"https://orcid.org/0000-0002-6480-2841"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dehua Wang","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China#TAB#","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077552109","display_name":"Jinghuai Gao","orcid":"https://orcid.org/0000-0002-0448-8555"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinghuai Gao","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi710049, China#TAB#","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077552109"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.1841,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.5763961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"6","first_page":"942","last_page":"954"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9764000177383423,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9545999765396118,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.733274519443512},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7237914800643921},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6901684999465942},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6447741985321045},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6353402137756348},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6213670372962952},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5206602811813354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4748975336551666},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.47371333837509155},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4253949522972107},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.41960057616233826},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.4111572802066803},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3262422978878021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24233782291412354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2370532751083374},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1808079183101654},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10798859596252441}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.733274519443512},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7237914800643921},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6901684999465942},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6447741985321045},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6353402137756348},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6213670372962952},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5206602811813354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4748975336551666},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.47371333837509155},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4253949522972107},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.41960057616233826},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.4111572802066803},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3262422978878021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24233782291412354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2370532751083374},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1808079183101654},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10798859596252441},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1011144","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1011144","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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 Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8700000047683716,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G3771722129","display_name":null,"funder_award_id":"41390454","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"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":27,"referenced_works":["https://openalex.org/W14724553","https://openalex.org/W207373900","https://openalex.org/W1480546554","https://openalex.org/W1577281435","https://openalex.org/W1596247731","https://openalex.org/W1985843599","https://openalex.org/W2015338231","https://openalex.org/W2018237299","https://openalex.org/W2030122346","https://openalex.org/W2037981501","https://openalex.org/W2039939700","https://openalex.org/W2069947795","https://openalex.org/W2074406023","https://openalex.org/W2077890944","https://openalex.org/W2082931088","https://openalex.org/W2088493762","https://openalex.org/W2098713549","https://openalex.org/W2103559027","https://openalex.org/W2122287830","https://openalex.org/W2133619711","https://openalex.org/W2135036909","https://openalex.org/W2150134853","https://openalex.org/W2152920451","https://openalex.org/W2155267467","https://openalex.org/W2169288322","https://openalex.org/W2198832251","https://openalex.org/W3142915818"],"related_works":["https://openalex.org/W1503928701","https://openalex.org/W2895947835","https://openalex.org/W2087258800","https://openalex.org/W2810018092","https://openalex.org/W2387428419","https://openalex.org/W2098237619","https://openalex.org/W1974034585","https://openalex.org/W2386722878","https://openalex.org/W2353444452","https://openalex.org/W2367765120"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"an":[5,97],"improved":[6],"noise":[7],"removal":[8],"model":[9],"based":[10],"on":[11],"a":[12,25],"nonlinear":[13],"fourth-order":[14],"partial":[15],"differential":[16],"equation":[17],"(PDE).":[18],"It":[19],"associates":[20],"with":[21],"the":[22,39,44,47,54,58,72,79,100],"minimization":[23],"of":[24,43,53,81,87],"certain":[26],"energy":[27],"subject":[28],"to":[29],"spatially":[30],"varying":[31],"constraints":[32],"involving":[33],"local":[34],"variance":[35],"measures.":[36],"We":[37],"discuss":[38],"existence":[40],"and":[41],"uniqueness":[42],"solutions":[45],"for":[46],"proposed":[48,55,89],"model.":[49],"The":[50],"main":[51],"advantage":[52],"method":[56,90],"over":[57,103],"related":[59,104],"methods":[60],"is":[61],"that":[62],"it":[63],"can":[64],"not":[65],"only":[66],"preserve":[67],"textures":[68],"but":[69],"also":[70],"avoid":[71],"staircase":[73],"effect":[74],"in":[75,78,91,99],"smooth":[76],"regions":[77],"process":[80],"denoising.":[82],"Experimental":[83],"results":[84],"illustrate":[85],"advantages":[86],"our":[88],"visual":[92],"improvement":[93],"as":[94,96],"well":[95],"increase":[98],"signal-to-noise":[101],"ratio":[102],"PDE":[105],"methods.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
