{"id":"https://openalex.org/W2103049372","doi":"https://doi.org/10.1109/icip.2008.4712226","title":"A PDE formulation for viscous morphological operators with extensions to intensity-adaptive operators","display_name":"A PDE formulation for viscous morphological operators with extensions to intensity-adaptive operators","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2103049372","doi":"https://doi.org/10.1109/icip.2008.4712226","mag":"2103049372"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2008.4712226","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2008.4712226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1109/ICIP.2008.4712226","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106182541","display_name":"Petros Maragos","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Petros Maragos","raw_affiliation_strings":["Sch. of E.C.E., Nat. Tech. Univ. of Athens, Athens"],"affiliations":[{"raw_affiliation_string":"Sch. of E.C.E., Nat. Tech. Univ. of Athens, Athens","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086652287","display_name":"Corinne Vachier","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":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Corinne Vachier","raw_affiliation_strings":["CNRS, PRES UniverSud, Cachan"],"affiliations":[{"raw_affiliation_string":"CNRS, PRES UniverSud, Cachan","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106182541"],"corresponding_institution_ids":["https://openalex.org/I200777214"],"apc_list":null,"apc_paid":null,"fwci":4.2565,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.94510822,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2200","last_page":"2203"},"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":0.9965999722480774,"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":0.9890000224113464,"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/partial-differential-equation","display_name":"Partial differential equation","score":0.7239121794700623},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6009348630905151},{"id":"https://openalex.org/keywords/intensity","display_name":"Intensity (physics)","score":0.5439039468765259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4996604919433594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44083383679389954},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4380333721637726},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.41384610533714294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3717004060745239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35552072525024414},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.18802836537361145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17580050230026245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09879827499389648},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06876233220100403}],"concepts":[{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.7239121794700623},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6009348630905151},{"id":"https://openalex.org/C93038891","wikidata":"https://www.wikidata.org/wiki/Q1061524","display_name":"Intensity (physics)","level":2,"score":0.5439039468765259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4996604919433594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44083383679389954},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4380333721637726},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.41384610533714294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3717004060745239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35552072525024414},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.18802836537361145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17580050230026245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09879827499389648},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06876233220100403},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icip.2008.4712226","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2008.4712226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Image Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.414.6467","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.414.6467","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cvsp.cs.ntua.gr/publications/confr/MaragosVachier_PDEFormulationViscousMorphologicalOperatorsToIntensityAdaptiveOps_ICIP08.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/32118","is_oa":true,"landing_page_url":"http://doi.org/10.1109/ICIP.2008.4712226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"Proceedings - International Conference on Image Processing, ICIP","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/32118","is_oa":true,"landing_page_url":"http://doi.org/10.1109/ICIP.2008.4712226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"Proceedings - International Conference on Image Processing, ICIP","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W157119263","https://openalex.org/W186191329","https://openalex.org/W1541272344","https://openalex.org/W1565961108","https://openalex.org/W1656511695","https://openalex.org/W1955488519","https://openalex.org/W1963679837","https://openalex.org/W1966083290","https://openalex.org/W1990389783","https://openalex.org/W1991113069","https://openalex.org/W2012872284","https://openalex.org/W2024840089","https://openalex.org/W2028431569","https://openalex.org/W2065164181","https://openalex.org/W2131303371","https://openalex.org/W2132934990","https://openalex.org/W2164741953","https://openalex.org/W2769043187","https://openalex.org/W2913336137","https://openalex.org/W4251431888","https://openalex.org/W6775351766"],"related_works":["https://openalex.org/W4379231730","https://openalex.org/W2031481447","https://openalex.org/W4389858081","https://openalex.org/W2501551404","https://openalex.org/W4385583601","https://openalex.org/W2154204858","https://openalex.org/W4298131179","https://openalex.org/W2113201962","https://openalex.org/W3209622820","https://openalex.org/W2118964038"],"abstract_inverted_index":{"Viscous":[0],"morphological":[1,30],"operators":[2,31,67,84],"have":[3],"shown":[4],"very":[5],"good":[6],"performance":[7],"in":[8],"regularizing":[9],"various":[10],"image":[11],"analysis":[12],"tasks":[13],"such":[14,85],"as":[15,32,86],"detection":[16],"of":[17,28,34,40,72,76,100],"intensity-varying":[18],"boundaries":[19],"and":[20,57,89,98],"segmentation.":[21],"This":[22],"paper":[23],"presents":[24],"a":[25],"novel":[26],"formulation":[27],"viscous":[29,60,66,90],"solutions":[33],"nonlinear":[35],"partial":[36],"differential":[37,112],"equations":[38],"(PDEs)":[39],"the":[41,59,65,70,101],"hyperbolic":[42],"type":[43],"with":[44],"level-varying":[45,74],"speed.":[46],"Efficient":[47],"numerical":[48],"algorithms":[49],"are":[50,80],"also":[51,63],"developed":[52],"to":[53],"solve":[54],"these":[55],"PDEs":[56],"generate":[58],"operations.":[61],"It":[62],"generalizes":[64],"by":[68],"studying":[69],"class":[71],"intensity":[73,81],"operators,":[75],"which":[77],"special":[78],"cases":[79],"adaptive":[82],"connected":[83],"volume":[87],"openings":[88],"reconstruction":[91],"filters.":[92],"We":[93],"present":[94],"both":[95],"theoretical":[96],"aspects":[97],"applications":[99],"above":[102],"ideas.":[103],"Index":[104],"Terms":[105],"\u2014":[106],"Morphological":[107],"operations,":[108],"Adaptive":[109],"filters,":[110],"Partial":[111],"equations.":[113],"1.":[114]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
