{"id":"https://openalex.org/W4214948769","doi":"https://doi.org/10.1109/lsp.2022.3155307","title":"Proximal Based Strategies for Solving Discrete Mumford-Shah With Ambrosio-Tortorelli Penalization on Edges","display_name":"Proximal Based Strategies for Solving Discrete Mumford-Shah With Ambrosio-Tortorelli Penalization on Edges","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4214948769","doi":"https://doi.org/10.1109/lsp.2022.3155307"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2022.3155307","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2022.3155307","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03381093","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025135963","display_name":"Hoang Trieu Vy Le","orcid":"https://orcid.org/0000-0002-8916-8138"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hoang Trieu Vy Le","raw_affiliation_strings":["Ens de Lyon, CNRS, Laboratoire de Physique, Univ Lyon, Lyon, France"],"raw_orcid":"https://orcid.org/0000-0002-8916-8138","affiliations":[{"raw_affiliation_string":"Ens de Lyon, CNRS, Laboratoire de Physique, Univ Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210096929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057313579","display_name":"Marion Foare","orcid":"https://orcid.org/0000-0002-5404-950X"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marion Foare","raw_affiliation_strings":["Ens de Lyon, CNRS, INRIA, LIP, Univ Lyon, France"],"raw_orcid":"https://orcid.org/0000-0002-5404-950X","affiliations":[{"raw_affiliation_string":"Ens de Lyon, CNRS, INRIA, LIP, Univ Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074166239","display_name":"Nelly Pustelnik","orcid":"https://orcid.org/0000-0001-7310-1927"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nelly Pustelnik","raw_affiliation_strings":["Ens de Lyon, CNRS, Laboratoire de Physique, Univ Lyon, Lyon, France"],"raw_orcid":"https://orcid.org/0000-0001-7310-1927","affiliations":[{"raw_affiliation_string":"Ens de Lyon, CNRS, Laboratoire de Physique, Univ Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210096929"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9789,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66421442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"29","issue":null,"first_page":"952","last_page":"956"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9991999864578247,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7552939653396606},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6988644003868103},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5386663675308228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4939571022987366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45789629220962524},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.4516226649284363},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.449209988117218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44661372900009155},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.376672625541687},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3750890791416168},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3637526035308838},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2689163088798523}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7552939653396606},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6988644003868103},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5386663675308228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4939571022987366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45789629220962524},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.4516226649284363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.449209988117218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44661372900009155},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.376672625541687},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3750890791416168},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3637526035308838},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2689163088798523},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2022.3155307","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2022.3155307","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03381093v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03381093","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, 2022, ⟨10.1109/lsp.2022.3155307⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03381093v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03381093","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, 2022, ⟨10.1109/lsp.2022.3155307⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7300000190734863,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G7438514334","display_name":"Multiscale estimation and Interface detection","funder_award_id":"ANR-19-CE48-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W197263087","https://openalex.org/W1640336024","https://openalex.org/W1841853452","https://openalex.org/W1946620893","https://openalex.org/W1967362871","https://openalex.org/W2000594266","https://openalex.org/W2020999234","https://openalex.org/W2021535288","https://openalex.org/W2027982384","https://openalex.org/W2079235685","https://openalex.org/W2079991308","https://openalex.org/W2103559027","https://openalex.org/W2114487471","https://openalex.org/W2123711313","https://openalex.org/W2129732816","https://openalex.org/W2130184048","https://openalex.org/W2155280009","https://openalex.org/W2159793005","https://openalex.org/W2610158106","https://openalex.org/W2806853070","https://openalex.org/W2993140656","https://openalex.org/W3011844840","https://openalex.org/W3039927614","https://openalex.org/W3096735328","https://openalex.org/W3106343576","https://openalex.org/W4229650096","https://openalex.org/W4244769743","https://openalex.org/W4246047487"],"related_works":["https://openalex.org/W2357322570","https://openalex.org/W90581812","https://openalex.org/W2997591215","https://openalex.org/W2227541280","https://openalex.org/W2038232617","https://openalex.org/W2974904990","https://openalex.org/W2029783634","https://openalex.org/W2072705653","https://openalex.org/W2365681766","https://openalex.org/W2393963626"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,42],"dedicated":[3],"to":[4,46,58],"joint":[5],"image":[6],"restoration":[7],"and":[8,26],"contour":[9],"detection":[10],"considering":[11],"the":[12,34,48],"Ambrosio-Tortorelli":[13],"functional.":[14],"Two":[15],"proximal":[16],"alternating":[17],"minimization":[18],"schemes":[19,53],"with":[20],"convergence":[21],"guarantees":[22],"are":[23],"provided,":[24],"PALM-AT":[25],"SL-PAM-AT,":[27],"as":[28,30,54,56],"well":[29,55],"closed-form":[31],"expressions":[32],"of":[33,50],"involved":[35],"proximity":[36],"operators.":[37],"A":[38],"thorough":[39],"numerical":[40,52],"study":[41],"conducted":[43],"in":[44],"order":[45],"evaluate":[47],"performance":[49],"both":[51],"comparisons":[57],"state-of-the-art":[59],"Mumford-Shah":[60],"strategies.":[61]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}