{"id":"https://openalex.org/W2063237083","doi":"https://doi.org/10.1007/s11045-013-0260-5","title":"Image decomposition combining a total variational filter and a Tikhonov quadratic filter","display_name":"Image decomposition combining a total variational filter and a Tikhonov quadratic filter","publication_year":2013,"publication_date":"2013-10-24","ids":{"openalex":"https://openalex.org/W2063237083","doi":"https://doi.org/10.1007/s11045-013-0260-5","mag":"2063237083"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-013-0260-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-013-0260-5","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","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/A5100708038","display_name":"Yan Hao","orcid":"https://orcid.org/0000-0003-2118-2299"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Hao","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, Henan, China","School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China 471023#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, Henan, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China 471023#TAB#","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076093418","display_name":"Jianlou Xu","orcid":"https://orcid.org/0000-0002-8550-6283"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianlou Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, Henan, China","School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China 471023#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, Henan, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China 471023#TAB#","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100773961","display_name":"Jian Bai","orcid":"https://orcid.org/0000-0002-5128-2146"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Bai","raw_affiliation_strings":["School of Sciences, Xidian University, Xi\u2019an, 710071, Shaanxi, China","School of Sciences, Xidian University, Xi'an, China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Xidian University, Xi\u2019an, 710071, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Sciences, Xidian University, Xi'an, China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007105197","display_name":"Yu Han","orcid":"https://orcid.org/0000-0002-0270-287X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Han","raw_affiliation_strings":["College of Mathematic and Computational Science, Shenzhen University, Shenzhen\u00a0, 518060, Guangdong, China","College of Mathematic and Computational Science, Shenzhen University, Shenzhen , China 518060#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematic and Computational Science, Shenzhen University, Shenzhen\u00a0, 518060, Guangdong, China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"College of Mathematic and Computational Science, Shenzhen University, Shenzhen , China 518060#TAB#","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100708038"],"corresponding_institution_ids":["https://openalex.org/I167383011"],"apc_list":null,"apc_paid":null,"fwci":0.5518,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.71223859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"739","last_page":"751"},"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9986000061035156,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.8158151507377625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6481869220733643},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6045993566513062},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.588222861289978},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.5183085799217224},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.4858062267303467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4506228566169739},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4384010434150696},{"id":"https://openalex.org/keywords/variational-method","display_name":"Variational method","score":0.4201311469078064},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37991249561309814},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3352120816707611},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3109074532985687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27117103338241577},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.14588582515716553},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10117119550704956}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.8158151507377625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6481869220733643},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6045993566513062},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.588222861289978},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.5183085799217224},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.4858062267303467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4506228566169739},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4384010434150696},{"id":"https://openalex.org/C64618476","wikidata":"https://www.wikidata.org/wiki/Q164296","display_name":"Variational method","level":2,"score":0.4201311469078064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37991249561309814},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3352120816707611},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3109074532985687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27117103338241577},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.14588582515716553},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10117119550704956},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11045-013-0260-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-013-0260-5","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311345","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28"},{"id":"https://openalex.org/F4320321760","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58"},{"id":"https://openalex.org/F4320323230","display_name":"Xidian University","ror":"https://ror.org/05s92vm98"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W207373900","https://openalex.org/W1488881187","https://openalex.org/W1981885934","https://openalex.org/W1986686415","https://openalex.org/W1999424610","https://openalex.org/W2008076677","https://openalex.org/W2020302676","https://openalex.org/W2020461703","https://openalex.org/W2038563976","https://openalex.org/W2040167422","https://openalex.org/W2045559171","https://openalex.org/W2056041156","https://openalex.org/W2066630786","https://openalex.org/W2092231222","https://openalex.org/W2093109539","https://openalex.org/W2093212899","https://openalex.org/W2096672847","https://openalex.org/W2103559027","https://openalex.org/W2123031198","https://openalex.org/W2123597619","https://openalex.org/W2142058898","https://openalex.org/W2147095925","https://openalex.org/W2154996879","https://openalex.org/W2157011125","https://openalex.org/W2164822588","https://openalex.org/W3106359998"],"related_works":["https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W1854082044","https://openalex.org/W2101513891","https://openalex.org/W4386731488","https://openalex.org/W3169007055","https://openalex.org/W2024156986","https://openalex.org/W2995216836","https://openalex.org/W2027798872","https://openalex.org/W4385817362"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
