{"id":"https://openalex.org/W2016228846","doi":"https://doi.org/10.1007/s10915-014-9863-8","title":"Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising","display_name":"Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising","publication_year":2014,"publication_date":"2014-05-06","ids":{"openalex":"https://openalex.org/W2016228846","doi":"https://doi.org/10.1007/s10915-014-9863-8","mag":"2016228846"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-014-9863-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9863-8","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/A5062202097","display_name":"Michael Hinterm\u00fcller","orcid":"https://orcid.org/0000-0001-9471-2479"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Hinterm\u00fcller","raw_affiliation_strings":["Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany","Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099\u00a0, Berlin, Germany","Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Berlin, Germany 10099#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099\u00a0, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, Berlin, Germany 10099#TAB#","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038986573","display_name":"Andreas Langer","orcid":"https://orcid.org/0000-0001-7684-8364"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]},{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Andreas Langer","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010 , Graz, Austria","Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010\u00a0, Graz, Austria","Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010 , Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010\u00a0, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]},{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I15766117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038986573"],"corresponding_institution_ids":["https://openalex.org/I15766117","https://openalex.org/I4092182"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.6756,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.90744295,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"2","first_page":"456","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9984999895095825,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9939000010490417,"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/mathematics","display_name":"Mathematics","score":0.772997260093689},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.6924604177474976},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.691408634185791},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6409379243850708},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6181390881538391},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5724396705627441},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5681544542312622},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5617671012878418},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.5517135858535767},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5287259221076965},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5212650895118713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4881077706813812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45557916164398193},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4340360462665558},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.41071635484695435},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3332703113555908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.188603013753891},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17046189308166504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0801081657409668},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07892656326293945},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.06769639253616333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.772997260093689},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.6924604177474976},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.691408634185791},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6409379243850708},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6181390881538391},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5724396705627441},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5681544542312622},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5617671012878418},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.5517135858535767},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5287259221076965},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5212650895118713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4881077706813812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45557916164398193},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4340360462665558},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.41071635484695435},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3332703113555908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.188603013753891},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17046189308166504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0801081657409668},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07892656326293945},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.06769639253616333},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-014-9863-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9863-8","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"},{"id":"pmh:oai:unipub.uni-graz.at:145347","is_oa":false,"landing_page_url":"http://unipub.uni-graz.at/doi/10.1007/s10915-014-9863-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400359","display_name":"Unipub UB Graz (Universit\u00e4t Graz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15766117","host_organization_name":"University of Graz","host_organization_lineage":["https://openalex.org/I15766117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W40037269","https://openalex.org/W1120847856","https://openalex.org/W1480714962","https://openalex.org/W1489458628","https://openalex.org/W1496099826","https://openalex.org/W1579559187","https://openalex.org/W1579781026","https://openalex.org/W1593038947","https://openalex.org/W1669104078","https://openalex.org/W1895520453","https://openalex.org/W1970342212","https://openalex.org/W1981168601","https://openalex.org/W1984213606","https://openalex.org/W1984648213","https://openalex.org/W1985588167","https://openalex.org/W1986753844","https://openalex.org/W1986850130","https://openalex.org/W2003413173","https://openalex.org/W2005089986","https://openalex.org/W2006262045","https://openalex.org/W2011181254","https://openalex.org/W2031312034","https://openalex.org/W2039050532","https://openalex.org/W2039939700","https://openalex.org/W2042248875","https://openalex.org/W2052440373","https://openalex.org/W2052972089","https://openalex.org/W2060945009","https://openalex.org/W2062653475","https://openalex.org/W2067736594","https://openalex.org/W2087647082","https://openalex.org/W2091494211","https://openalex.org/W2096448861","https://openalex.org/W2103559027","https://openalex.org/W2104126767","https://openalex.org/W2109377842","https://openalex.org/W2129922730","https://openalex.org/W2144275666","https://openalex.org/W2145003640","https://openalex.org/W2154302251","https://openalex.org/W2156648982","https://openalex.org/W2167732364","https://openalex.org/W2320596590","https://openalex.org/W2523352299","https://openalex.org/W2595348797","https://openalex.org/W2798817241","https://openalex.org/W2955478785","https://openalex.org/W3092559593","https://openalex.org/W4249667877","https://openalex.org/W4302436815"],"related_works":["https://openalex.org/W2889253769","https://openalex.org/W3010678772","https://openalex.org/W2944624955","https://openalex.org/W2053223715","https://openalex.org/W2612397051","https://openalex.org/W1490451209","https://openalex.org/W2586189899","https://openalex.org/W2895947835","https://openalex.org/W2018702098","https://openalex.org/W2086706962"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}