{"id":"https://openalex.org/W4283363325","doi":"https://doi.org/10.1137/22m148598x","title":"Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification","display_name":"Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification","publication_year":2023,"publication_date":"2023-03-03","ids":{"openalex":"https://openalex.org/W4283363325","doi":"https://doi.org/10.1137/22m148598x"},"language":"en","primary_location":{"id":"doi:10.1137/22m148598x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m148598x","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03631338v3/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054964999","display_name":"Imad El Bouchairi","orcid":null},"institutions":[{"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Imad El Bouchairi","raw_affiliation_strings":["Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I98702875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068967480","display_name":"Abderrahim Elmoataz","orcid":"https://orcid.org/0000-0001-7762-5269"},"institutions":[{"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abderrahim Elmoataz","raw_affiliation_strings":["Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I98702875"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008136365","display_name":"Jalal Fadili","orcid":"https://orcid.org/0000-0002-8165-7578"},"institutions":[{"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jalal Fadili","raw_affiliation_strings":["Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9, ENSICAEN, UNICAEN, CNRS, GREYC, 14000 Caen, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I98702875"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3827,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75555085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"1","first_page":"368","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9661999940872192,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9301000237464905,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/curvature","display_name":"Curvature","score":0.6922747492790222},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.5798858404159546},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5405335426330566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5068896412849426},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.5065854787826538},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5035943388938904},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4468817412853241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4119129776954651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4055889844894409},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34973984956741333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28824105858802795},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17664259672164917}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6922747492790222},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.5798858404159546},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5405335426330566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5068896412849426},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.5065854787826538},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5035943388938904},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4468817412853241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4119129776954651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4055889844894409},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34973984956741333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28824105858802795},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17664259672164917}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m148598x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m148598x","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-03631338v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03631338","pdf_url":"https://hal.science/hal-03631338v3/document","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":"SIAM Journal on Imaging Sciences, In press, 16 (1), &#x27E8;10.1137/22M148598X&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03631338v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03631338","pdf_url":"https://hal.science/hal-03631338v3/document","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":"SIAM Journal on Imaging Sciences, In press, 16 (1), &#x27E8;10.1137/22M148598X&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6345984032","display_name":null,"funder_award_id":"ANR-17-665 CE38-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G961001253","display_name":"A Multiscale and Multimodal Strategy of documentation of Tangible CH objects: acquisition, processing, study and diffusion","funder_award_id":"ANR-17-CE38-0004","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283363325.pdf","grobid_xml":"https://content.openalex.org/works/W4283363325.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W202688680","https://openalex.org/W1540378308","https://openalex.org/W1826824261","https://openalex.org/W1980555478","https://openalex.org/W2008795550","https://openalex.org/W2012152801","https://openalex.org/W2018102588","https://openalex.org/W2029685868","https://openalex.org/W2029705983","https://openalex.org/W2064570349","https://openalex.org/W2077562249","https://openalex.org/W2087770851","https://openalex.org/W2103559027","https://openalex.org/W2110563224","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2121947440","https://openalex.org/W2125531986","https://openalex.org/W2126922884","https://openalex.org/W2132914434","https://openalex.org/W2146259088","https://openalex.org/W2165734775","https://openalex.org/W2185903700","https://openalex.org/W2491089320","https://openalex.org/W2942987075","https://openalex.org/W3003977327","https://openalex.org/W3094824774","https://openalex.org/W3102973976","https://openalex.org/W3103734994","https://openalex.org/W4234674466","https://openalex.org/W4246047487","https://openalex.org/W4285057617"],"related_works":["https://openalex.org/W2161845662","https://openalex.org/W2788820315","https://openalex.org/W3026000488","https://openalex.org/W2901426655","https://openalex.org/W2951203321","https://openalex.org/W2565066972","https://openalex.org/W3100731123","https://openalex.org/W2161010955","https://openalex.org/W3169064754","https://openalex.org/W4385277122"],"abstract_inverted_index":{"Abstract.":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,27,52,65,119],"revisit":[5],"the":[6,40,49,94,97,106,121],"notion":[7,41,95],"of":[8,42,70,96,123],"perimeter":[9],"on":[10,45,73,83,101],"graphs,":[11],"introduced":[12],"in":[13,126],"El":[14],"Chakik,":[15],"Elmoataz,":[16],"and":[17,26,33,79,92,133],"Desquesnes":[18],"[":[19],"Signal":[20],"Process.,":[21],"105":[22],"(2014),":[23],"pp.":[24],"449\u2013463],":[25],"extend":[28,39],"it":[29],"to":[30,48,90],"so-called":[31],"inner":[32],"outer":[34],"perimeters.":[35,63],"We":[36],"will":[37],"also":[38],"total":[43,56],"variation":[44],"graphs.":[46],"Thanks":[47],"co-area":[50],"formula,":[51],"show":[53],"that":[54,75],"discrete":[55],"variations":[57],"can":[58,112],"be":[59,113],"expressed":[60],"through":[61],"these":[62,124],"Then,":[64],"propose":[66],"a":[67],"novel":[68],"class":[69],"curvature":[71,82,99],"operators":[72],"graphs":[74,102],"unifies":[76],"both":[77],"local":[78],"nonlocal":[80],"mean":[81,98,109],"an":[84],"Euclidean":[85],"domain.":[86],"This":[87],"leads":[88],"us":[89],"translate":[91],"adapt":[93],"flow":[100],"as":[103,105,115],"well":[104],"level":[107],"set":[108],"curvature,":[110],"which":[111],"seen":[114],"approximate":[116],"schemes.":[117],"Finally,":[118],"exemplify":[120],"usefulness":[122],"methods":[125],"image":[127],"processing,":[128,132],"3D":[129],"point":[130],"cloud":[131],"high":[134],"dimensional":[135],"data":[136],"classification.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
