{"id":"https://openalex.org/W1488881187","doi":"https://doi.org/10.1023/a:1025384832106","title":"Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing","display_name":"Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing","publication_year":2003,"publication_date":"2003-09-19","ids":{"openalex":"https://openalex.org/W1488881187","doi":"https://doi.org/10.1023/a:1025384832106","mag":"1488881187"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025384832106","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025384832106","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5064779505","display_name":"Luminita A. Vese","orcid":"https://orcid.org/0000-0003-3002-9982"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Luminita A. Vese","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California, 90095-1555","Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095-1555. lvese@math.ucla.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California, 90095-1555","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095-1555. lvese@math.ucla.edu","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanley J. Osher","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California, 90095-1555","Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095-1555. sjo@math.ucla.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California, 90095-1555","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095-1555. sjo@math.ucla.edu","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064779505"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":29.0993,"has_fulltext":false,"cited_by_count":651,"citation_normalized_percentile":{"value":0.99824076,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"19","issue":"1-3","first_page":"553","last_page":"572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9965000152587891,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9965000152587891,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9825999736785889,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9794999957084656,"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/mathematics","display_name":"Mathematics","score":0.865397572517395},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.7818942070007324},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5885794758796692},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5222952365875244},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4943845272064209},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4495469629764557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4252905249595642},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.41425931453704834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3779192864894867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34296876192092896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3368472456932068},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1656985878944397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08992308378219604}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.865397572517395},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.7818942070007324},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5885794758796692},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5222952365875244},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4943845272064209},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4495469629764557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4252905249595642},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.41425931453704834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3779192864894867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34296876192092896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3368472456932068},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1656985878944397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08992308378219604},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025384832106","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025384832106","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W152228862","https://openalex.org/W207373900","https://openalex.org/W610243581","https://openalex.org/W1499458212","https://openalex.org/W1560436264","https://openalex.org/W1580269359","https://openalex.org/W1593038947","https://openalex.org/W1602798041","https://openalex.org/W1984213606","https://openalex.org/W1998683784","https://openalex.org/W2008419427","https://openalex.org/W2012118748","https://openalex.org/W2017848200","https://openalex.org/W2020198739","https://openalex.org/W2039939700","https://openalex.org/W2065164181","https://openalex.org/W2095241361","https://openalex.org/W2103559027","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2126174118","https://openalex.org/W2127731450","https://openalex.org/W2130604180","https://openalex.org/W2136868517","https://openalex.org/W2150134853","https://openalex.org/W2150920547","https://openalex.org/W2162630772","https://openalex.org/W2914396913","https://openalex.org/W6636105502"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W2350325755","https://openalex.org/W2356614471","https://openalex.org/W2389758888","https://openalex.org/W2028421615","https://openalex.org/W1485170658","https://openalex.org/W2057115809"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":27},{"year":2017,"cited_by_count":28},{"year":2016,"cited_by_count":35},{"year":2015,"cited_by_count":40},{"year":2014,"cited_by_count":39},{"year":2013,"cited_by_count":39},{"year":2012,"cited_by_count":32}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2016-06-24T00:00:00"}