{"id":"https://openalex.org/W2795823403","doi":"https://doi.org/10.1137/17m1122906","title":"A Joint Segmentation/Registration Model Based on a Nonlocal Characterization of Weighted Total Variation and Nonlocal Shape Descriptors","display_name":"A Joint Segmentation/Registration Model Based on a Nonlocal Characterization of Weighted Total Variation and Nonlocal Shape Descriptors","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2795823403","doi":"https://doi.org/10.1137/17m1122906","mag":"2795823403"},"language":"en","primary_location":{"id":"doi:10.1137/17m1122906","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122906","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5044481058","display_name":"No\u00e9mie Debroux","orcid":"https://orcid.org/0000-0002-5329-5485"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4392021175","display_name":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen","ror":"https://ror.org/009rwsd77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210105918","https://openalex.org/I4392021175","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"No\u00e9mie Debroux","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I4210155549","https://openalex.org/I62396329","https://openalex.org/I4392021175"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018848158","display_name":"Carole Le Guyader","orcid":"https://orcid.org/0000-0003-2192-6630"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4392021175","display_name":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen","ror":"https://ror.org/009rwsd77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210105918","https://openalex.org/I4392021175","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Carole Le Guyader","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I4210155549","https://openalex.org/I62396329","https://openalex.org/I4392021175"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.936,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.80077059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"957","last_page":"990"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10491","display_name":"Enhanced Oil Recovery Techniques","score":0.9557999968528748,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9502999782562256,"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/segmentation","display_name":"Segmentation","score":0.7111061811447144},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5883732438087463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5522925853729248},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.477615088224411},{"id":"https://openalex.org/keywords/image-registration","display_name":"Image registration","score":0.4716842770576477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4664821922779083},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.45157331228256226},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4504859149456024},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.44399380683898926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41462916135787964},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4015592336654663},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3746803402900696},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.25997644662857056},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25193479657173157},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2349575161933899},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19581997394561768},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14248329401016235}],"concepts":[{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.7111061811447144},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5883732438087463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5522925853729248},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.477615088224411},{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.4716842770576477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4664821922779083},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.45157331228256226},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4504859149456024},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.44399380683898926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41462916135787964},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4015592336654663},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3746803402900696},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25997644662857056},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25193479657173157},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2349575161933899},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19581997394561768},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14248329401016235},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1122906","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122906","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01944735v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01944735","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2018, 11 (2), pp.957-990. ⟨10.1137/17m1122906⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G3956351096","display_name":null,"funder_award_id":"M2NUM","funder_id":"https://openalex.org/F4320321778","funder_display_name":"Conseil R\u00e9gional de Haute Normandie"},{"id":"https://openalex.org/G612745526","display_name":null,"funder_award_id":"HN0002137","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320321778","display_name":"Conseil R\u00e9gional de Haute Normandie","ror":"https://ror.org/03w805n83"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W202688680","https://openalex.org/W1533758240","https://openalex.org/W1692193044","https://openalex.org/W1969333017","https://openalex.org/W1983050445","https://openalex.org/W1987869189","https://openalex.org/W1990804363","https://openalex.org/W2019161608","https://openalex.org/W2020327980","https://openalex.org/W2033378759","https://openalex.org/W2037316890","https://openalex.org/W2038495454","https://openalex.org/W2060945009","https://openalex.org/W2065646479","https://openalex.org/W2068130602","https://openalex.org/W2073728234","https://openalex.org/W2077079080","https://openalex.org/W2077843699","https://openalex.org/W2080179319","https://openalex.org/W2080849219","https://openalex.org/W2084677589","https://openalex.org/W2086926544","https://openalex.org/W2096619076","https://openalex.org/W2098900561","https://openalex.org/W2103559027","https://openalex.org/W2114487471","https://openalex.org/W2115167851","https://openalex.org/W2129759040","https://openalex.org/W2130257210","https://openalex.org/W2133003941","https://openalex.org/W2141383192","https://openalex.org/W2144129994","https://openalex.org/W2155598194","https://openalex.org/W2159152281","https://openalex.org/W2170167891","https://openalex.org/W2314369619","https://openalex.org/W2565467562","https://openalex.org/W2571726372","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3032419129","https://openalex.org/W4280618034","https://openalex.org/W2765325264","https://openalex.org/W3012177792","https://openalex.org/W2992443586","https://openalex.org/W2625550447"],"abstract_inverted_index":{"Segmentation":[0],"and":[1,73,85,101,125,138,153,164,174,203],"registration":[2,25],"are":[3,107],"cornerstone":[4],"steps":[5],"of":[6,17,27,31,41,104,111,120,131,190],"many":[7],"imaging":[8],"situations:":[9],"while":[10],"segmentation":[11,116],"aims":[12],"to":[13],"identify":[14],"relevant":[15],"constituents":[16],"an":[18,32],"image":[19,33],"for":[20],"visualization":[21],"or":[22],"quantitative":[23],"analysis,":[24],"consists":[26],"mapping":[28],"salient":[29],"features":[30],"onto":[34],"the":[35,91,99,105,115,191,197],"corresponding":[36],"ones":[37],"in":[38,59,135,157,167],"another.":[39],"Instead":[40],"treating":[42],"these":[43,64],"tasks":[44],"linearly":[45],"one":[46],"after":[47],"another,":[48],"so":[49],"without":[50],"correlating":[51],"them,":[52],"we":[53],"propose":[54],"a":[55,60],"unified":[56,143],"variational":[57],"model,":[58],"hyperelasticity":[61],"setting,":[62],"processing":[63],"two":[65],"operations":[66],"simultaneously.":[67],"The":[68],"dissimilarity":[69],"measure":[70],"relates":[71],"local":[72],"global":[74],"(or":[75],"region-based)":[76],"information,":[77],"since":[78],"it":[79,186],"relies":[80],"on":[81,149,161,196],"weighted":[82,121,150],"total":[83,151],"variation":[84,152],"nonlocal":[86,118,154,201],"shape":[87,155],"descriptors":[88],"inspired":[89],"by":[90],"piecewise":[92],"constant":[93],"Mumford--Shah":[94],"model.":[95],"Theoretical":[96],"results":[97],"emphasizing":[98],"mathematical":[100],"practical":[102],"soundness":[103],"model":[106,147],"provided,":[108],"including":[109],"existence":[110],"minimizers,":[112],"connection":[113],"with":[114,206],"step,":[117],"characterization":[119],"seminorms,":[122],"asymptotic":[123],"results,":[124],"$\\Gamma$-convergence":[126],"properties.":[127],"A":[128],"preliminary":[129],"version":[130],"this":[132],"work":[133],"appeared":[134],"[N.":[136],"Debroux":[137],"C.":[139],"Le":[140],"Guyader,":[141],"\u201cA":[142],"hyperelastic":[144],"joint":[145],"segmentation/registration":[146],"based":[148],"descriptors,\u201d":[156],"Sixth":[158],"International":[159],"Conference":[160],"Scale":[162],"Space":[163],"Variational":[165],"Methods":[166],"Computer":[168],"Vision,":[169],"F.":[170],"Lauze,":[171],"Y.":[172],"Dong,":[173],"A.":[175],"B.":[176],"Dahl,":[177],"eds.,":[178],"Springer":[179],"International,":[180],"Cham,":[181],"2017,":[182],"pp.":[183],"614--625],":[184],"but":[185],"contains":[187],"neither":[188],"proofs":[189],"proposed":[192],"material":[193],"nor":[194],"details":[195],"numerical":[198],"treatment":[199],"(developed":[200],"algorithm":[202],"extensive":[204],"comparisons":[205],"related":[207],"works).":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}