{"id":"https://openalex.org/W3084334185","doi":"https://doi.org/10.3390/a13090226","title":"Spatially Adaptive Regularization in Image Segmentation","display_name":"Spatially Adaptive Regularization in Image Segmentation","publication_year":2020,"publication_date":"2020-09-08","ids":{"openalex":"https://openalex.org/W3084334185","doi":"https://doi.org/10.3390/a13090226","mag":"3084334185"},"language":"en","primary_location":{"id":"pmh:oai:mdpi.com:/1999-4893/13/9/226/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a13090226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 13; Issue 9; Pages: 226","raw_type":"Text"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dx.doi.org/10.3390/a13090226","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038576832","display_name":"Laura Antonelli","orcid":"https://orcid.org/0000-0002-4031-099X"},"institutions":[{"id":"https://openalex.org/I3005160176","display_name":"Institute for High Performance Computing and Networking","ror":"https://ror.org/04r5fge26","country_code":"IT","type":"facility","lineage":["https://openalex.org/I3005160176","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Laura Antonelli; Valentina De Simone; Daniela di Serafino","raw_affiliation_strings":["Institute for High Performance Computing and Networking (ICAR), Italian National Research Council\r\n(CNR), via P. Castellino 111, I-80131 Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for High Performance Computing and Networking (ICAR), Italian National Research Council\r\n(CNR), via P. Castellino 111, I-80131 Naples, Italy","institution_ids":["https://openalex.org/I3005160176","https://openalex.org/I4210155236"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038576832"],"corresponding_institution_ids":["https://openalex.org/I3005160176","https://openalex.org/I4210155236"],"apc_list":null,"apc_paid":null,"fwci":0.8831,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.76737401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.987500011920929,"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/T12422","display_name":"Radiomics and Machine Learning in Medical Imaging","score":0.9455000162124634,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7369725704193115},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6927741169929504},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.6609992384910583},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.6259957551956177},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.6226130723953247},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5696581602096558},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5662773847579956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5316107273101807},{"id":"https://openalex.org/keywords/image-texture","display_name":"Image texture","score":0.4899100661277771},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.4786157011985779},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4692922532558441},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.46254488825798035},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4561268091201782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44630852341651917},{"id":"https://openalex.org/keywords/segmentation-based-object-categorization","display_name":"Segmentation-based object categorization","score":0.4448462128639221},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4147944450378418},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3625955581665039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2583619952201843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07721829414367676}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7369725704193115},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6927741169929504},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6609992384910583},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.6259957551956177},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.6226130723953247},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5696581602096558},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5662773847579956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5316107273101807},{"id":"https://openalex.org/C63099799","wikidata":"https://www.wikidata.org/wiki/Q17147001","display_name":"Image texture","level":4,"score":0.4899100661277771},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.4786157011985779},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4692922532558441},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.46254488825798035},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4561268091201782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44630852341651917},{"id":"https://openalex.org/C25694479","wikidata":"https://www.wikidata.org/wiki/Q7446278","display_name":"Segmentation-based object categorization","level":5,"score":0.4448462128639221},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4147944450378418},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3625955581665039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2583619952201843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07721829414367676}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:mdpi.com:/1999-4893/13/9/226/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a13090226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 13; Issue 9; Pages: 226","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:mdpi.com:/1999-4893/13/9/226/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a13090226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 13; Issue 9; Pages: 226","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1452724831","https://openalex.org/W1481810735","https://openalex.org/W1973734200","https://openalex.org/W1992597617","https://openalex.org/W2006843870","https://openalex.org/W2011181254","https://openalex.org/W2033468335","https://openalex.org/W2038495454","https://openalex.org/W2042604173","https://openalex.org/W2101789519","https://openalex.org/W2110158442","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2123597619","https://openalex.org/W2135095945","https://openalex.org/W2137404025","https://openalex.org/W2142058898","https://openalex.org/W2142224912","https://openalex.org/W2164278908","https://openalex.org/W2199808279","https://openalex.org/W2344001031","https://openalex.org/W2739680746","https://openalex.org/W2747420942","https://openalex.org/W2770233088","https://openalex.org/W2798123701","https://openalex.org/W2804860796","https://openalex.org/W2912327653","https://openalex.org/W2913535645","https://openalex.org/W2963316436","https://openalex.org/W2970190889","https://openalex.org/W3023166275","https://openalex.org/W3023463767","https://openalex.org/W3098389804","https://openalex.org/W4244393449","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2204605857","https://openalex.org/W3196005494","https://openalex.org/W2355370993","https://openalex.org/W2093085045","https://openalex.org/W2170380303","https://openalex.org/W1996489018","https://openalex.org/W2069318476","https://openalex.org/W2184524617","https://openalex.org/W2115198604","https://openalex.org/W2131637713"],"abstract_inverted_index":{"We":[0,19,88],"present":[1],"a":[2,44,72],"total-variation-regularized":[3],"image":[4,17,74],"segmentation":[5,75],"model":[6,67,76,92],"that":[7,77],"uses":[8],"local":[9],"regularization":[10,53],"parameters":[11],"to":[12],"take":[13],"into":[14],"account":[15],"spatial":[16,61],"information.":[18],"propose":[20],"some":[21],"techniques":[22],"for":[23],"defining":[24],"those":[25],"parameters,":[26],"based":[27],"on":[28,36,43],"the":[29,33,37,48,90,105],"cartoon-texture":[30],"decomposition":[31],"of":[32,50,107],"given":[34],"image,":[35],"mean":[38],"and":[39,42,59,85],"median":[40],"filters,":[41],"thresholding":[45],"technique,":[46],"with":[47],"aim":[49],"preventing":[51],"excessive":[52],"in":[54,63],"piecewise-constant":[55],"or":[56],"smooth":[57],"regions":[58],"preserving":[60],"features":[62],"nonsmooth":[64],"regions.":[65],"Our":[66],"is":[68],"obtained":[69],"by":[70,80,93],"modifying":[71],"well-known":[73],"was":[78],"developed":[79],"T.":[81],"Chan,":[82],"S.":[83],"Esedo\u1e21lu,":[84],"M.":[86],"Nikolova.":[87],"solve":[89],"modified":[91],"an":[94],"alternating":[95],"minimization":[96],"method":[97],"using":[98],"split":[99],"Bregman":[100],"iterations.":[101],"Numerical":[102],"experiments":[103],"show":[104],"effectiveness":[106],"our":[108],"approach.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}