{"id":"https://openalex.org/W3134296105","doi":"https://doi.org/10.1007/s40314-021-01462-1","title":"A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm","display_name":"A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm","publication_year":2021,"publication_date":"2021-03-03","ids":{"openalex":"https://openalex.org/W3134296105","doi":"https://doi.org/10.1007/s40314-021-01462-1","mag":"3134296105"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01462-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01462-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied 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/A5112846302","display_name":"Hamdi Houichet","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210112335","display_name":"\u00c9cole Sup\u00e9rieure Priv\u00e9e d'Ing\u00e9nierie et de Technologies","ror":"https://ror.org/021f99908","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210112335"]},{"id":"https://openalex.org/I4210131288","display_name":"National Engineering School of Tunis","ror":"https://ror.org/03b1zjt31","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210131288","https://openalex.org/I63596082"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Hamdi Houichet","raw_affiliation_strings":["ESPRIT School of Engineering, Tunis, Tunisia","Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, B.P. 37, Belv\u00e9d\u00e8re, 1002, Tunis, Tunisia"],"raw_orcid":"https://orcid.org/0000-0002-3301-1385","affiliations":[{"raw_affiliation_string":"ESPRIT School of Engineering, Tunis, Tunisia","institution_ids":["https://openalex.org/I4210112335"]},{"raw_affiliation_string":"Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, B.P. 37, Belv\u00e9d\u00e8re, 1002, Tunis, Tunisia","institution_ids":["https://openalex.org/I4210131288","https://openalex.org/I108714496","https://openalex.org/I63596082"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074351078","display_name":"Anis Theljani","orcid":"https://orcid.org/0000-0002-9126-2158"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Anis Theljani","raw_affiliation_strings":["University of Oxford, Oxford, OX1 2JD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, OX1 2JD, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049541486","display_name":"Maher Moakher","orcid":"https://orcid.org/0000-0002-9432-0456"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210131288","display_name":"National Engineering School of Tunis","ror":"https://ror.org/03b1zjt31","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210131288","https://openalex.org/I63596082"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Maher Moakher","raw_affiliation_strings":["Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, B.P. 37, Belv\u00e9d\u00e8re, 1002, Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, B.P. 37, Belv\u00e9d\u00e8re, 1002, Tunis, Tunisia","institution_ids":["https://openalex.org/I4210131288","https://openalex.org/I108714496","https://openalex.org/I63596082"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112846302"],"corresponding_institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210112335","https://openalex.org/I4210131288","https://openalex.org/I63596082"],"apc_list":null,"apc_paid":null,"fwci":0.8738,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75029488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"40","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"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":0.9987000226974487,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.6668712496757507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6217939257621765},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.5550124645233154},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.4897060692310333},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4274282455444336},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41526076197624207},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.4144074320793152},{"id":"https://openalex.org/keywords/biharmonic-equation","display_name":"Biharmonic equation","score":0.4109608232975006},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.39309921860694885},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.38287127017974854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2933647334575653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24839526414871216},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16704952716827393},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.13098931312561035}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6668712496757507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6217939257621765},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5550124645233154},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.4897060692310333},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4274282455444336},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41526076197624207},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.4144074320793152},{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.4109608232975006},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.39309921860694885},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.38287127017974854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2933647334575653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24839526414871216},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16704952716827393},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.13098931312561035},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01462-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01462-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W570230096","https://openalex.org/W1427740085","https://openalex.org/W1540403413","https://openalex.org/W1647921945","https://openalex.org/W1837261486","https://openalex.org/W1913948773","https://openalex.org/W1967670119","https://openalex.org/W1977700559","https://openalex.org/W1994870183","https://openalex.org/W2000594266","https://openalex.org/W2002168069","https://openalex.org/W2008025478","https://openalex.org/W2027301761","https://openalex.org/W2031817405","https://openalex.org/W2034447457","https://openalex.org/W2037981501","https://openalex.org/W2042243302","https://openalex.org/W2044146745","https://openalex.org/W2056217824","https://openalex.org/W2069027079","https://openalex.org/W2072319429","https://openalex.org/W2075638967","https://openalex.org/W2103559027","https://openalex.org/W2127081471","https://openalex.org/W2134331317","https://openalex.org/W2140897995","https://openalex.org/W2166765763","https://openalex.org/W2187430405","https://openalex.org/W2309781783","https://openalex.org/W2399436085","https://openalex.org/W2581436517","https://openalex.org/W2605839519","https://openalex.org/W2903540955","https://openalex.org/W2996152754","https://openalex.org/W2998629321","https://openalex.org/W4231001225"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W3139424580","https://openalex.org/W1986396960","https://openalex.org/W2105227268","https://openalex.org/W4307213029","https://openalex.org/W1989880152","https://openalex.org/W1977275827","https://openalex.org/W58429384"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}