{"id":"https://openalex.org/W1605636162","doi":"https://doi.org/10.1007/978-3-642-02256-2_28","title":"Locally Adaptive Total Variation Regularization","display_name":"Locally Adaptive Total Variation Regularization","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1605636162","doi":"https://doi.org/10.1007/978-3-642-02256-2_28","mag":"1605636162"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02256-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02256-2_28","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5039736052","display_name":"Markus Grasmair","orcid":"https://orcid.org/0000-0002-6116-5584"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Markus Grasmair","raw_affiliation_strings":["Department of Mathematics, University of Innsbruck, Technikerstr.\u00a021a, A-6020, Innsbruck, Austria","Department of Mathematics, University of Innsbruck, Innsbruck, Austria A-6020#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Innsbruck, Technikerstr.\u00a021a, A-6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]},{"raw_affiliation_string":"Department of Mathematics, University of Innsbruck, Innsbruck, Austria A-6020#TAB#","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039736052"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.6557,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.96214976,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"331","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973000288009644,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/total-variation-denoising","display_name":"Total variation denoising","score":0.8493951559066772},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.8488573431968689},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.744137167930603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5923101305961609},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.5866410136222839},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5335721373558044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5208504796028137},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4732283353805542},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4624633193016052},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.4268266558647156},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.41625338792800903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3179844319820404},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2924344539642334},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.16941404342651367},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.16638892889022827},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.10296064615249634},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.059825628995895386}],"concepts":[{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.8493951559066772},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.8488573431968689},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.744137167930603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5923101305961609},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.5866410136222839},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5335721373558044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5208504796028137},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4732283353805542},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4624633193016052},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.4268266558647156},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.41625338792800903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3179844319820404},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2924344539642334},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.16941404342651367},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.16638892889022827},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.10296064615249634},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.059825628995895386},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","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:10.1007/978-3-642-02256-2_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02256-2_28","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W40037269","https://openalex.org/W1256797459","https://openalex.org/W1544177383","https://openalex.org/W1570089119","https://openalex.org/W1653619892","https://openalex.org/W1922505179","https://openalex.org/W1993247264","https://openalex.org/W2005089986","https://openalex.org/W2017848200","https://openalex.org/W2022585151","https://openalex.org/W2023206259","https://openalex.org/W2039939700","https://openalex.org/W2049701826","https://openalex.org/W2075858322","https://openalex.org/W2098109295","https://openalex.org/W2103559027","https://openalex.org/W2134731189","https://openalex.org/W2144275666","https://openalex.org/W2152920451","https://openalex.org/W2162894628","https://openalex.org/W2182274314","https://openalex.org/W2795407492"],"related_works":["https://openalex.org/W2588406281","https://openalex.org/W2366023887","https://openalex.org/W2889253769","https://openalex.org/W2344001031","https://openalex.org/W1989857057","https://openalex.org/W3110578843","https://openalex.org/W2944624955","https://openalex.org/W2388364587","https://openalex.org/W1605636162","https://openalex.org/W2062975788"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}