{"id":"https://openalex.org/W2296203018","doi":"https://doi.org/10.1007/978-3-319-18720-4_48","title":"Self-duality and Digital Topology: Links Between the Morphological Tree of Shapes and Well-Composed Gray-Level Images","display_name":"Self-duality and Digital Topology: Links Between the Morphological Tree of Shapes and Well-Composed Gray-Level Images","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2296203018","doi":"https://doi.org/10.1007/978-3-319-18720-4_48","mag":"2296203018"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-18720-4_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18720-4_48","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5068813606","display_name":"Thierry G\u00e9raud","orcid":"https://orcid.org/0000-0002-0380-7948"},"institutions":[{"id":"https://openalex.org/I4210126302","display_name":"Laboratoire de Recherches sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302","https://openalex.org/I4210146830"]},{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Thierry G\u00e9raud","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), Paris, France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059793245","display_name":"Edwin Carlinet","orcid":"https://orcid.org/0000-0001-5737-5266"},"institutions":[{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210126302","display_name":"Laboratoire de Recherches sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302","https://openalex.org/I4210146830"]},{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I12187552","display_name":"UniLaSalle Amiens (ESIEE-Amiens)","ror":"https://ror.org/03r13py57","country_code":"FR","type":"education","lineage":["https://openalex.org/I12187552"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edwin Carlinet","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), Paris, France","LIGM, \u00c9quipe A3SI, ESIEE, Universit\u00e9 Paris-Est, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), Paris, France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]},{"raw_affiliation_string":"LIGM, \u00c9quipe A3SI, ESIEE, Universit\u00e9 Paris-Est, Paris, France","institution_ids":["https://openalex.org/I12187552","https://openalex.org/I2800365227","https://openalex.org/I4210152518","https://openalex.org/I4210154111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025961858","display_name":"S\u00e9bastien Crozet","orcid":"https://orcid.org/0000-0002-6011-1701"},"institutions":[{"id":"https://openalex.org/I4210126302","display_name":"Laboratoire de Recherches sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302","https://openalex.org/I4210146830"]},{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Crozet","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), Paris, France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5068813606"],"corresponding_institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8869,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88052399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"573","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9970999956130981,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9865999817848206,"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/digital-topology","display_name":"Digital topology","score":0.6495184898376465},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.6477220058441162},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6348371505737305},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6158748865127563},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.584558367729187},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5425671935081482},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5158873796463013},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.511177122592926},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.49395185708999634},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4562642574310303},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.43523192405700684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4015415906906128},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29388952255249023},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2834126949310303},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2282455563545227},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2164938747882843},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.1792776882648468},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1652151346206665},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.1433500349521637},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.09018361568450928},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.059413373470306396}],"concepts":[{"id":"https://openalex.org/C557022819","wikidata":"https://www.wikidata.org/wiki/Q5276205","display_name":"Digital topology","level":5,"score":0.6495184898376465},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.6477220058441162},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6348371505737305},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6158748865127563},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.584558367729187},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5425671935081482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5158873796463013},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.511177122592926},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.49395185708999634},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4562642574310303},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.43523192405700684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4015415906906128},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29388952255249023},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2834126949310303},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2282455563545227},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2164938747882843},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.1792776882648468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1652151346206665},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.1433500349521637},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.09018361568450928},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.059413373470306396},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-18720-4_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18720-4_48","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01476218v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01476218","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":"12th International Symposium on Mathematical Morphology (ISMM, May 2017, Reykjavik, Iceland. pp.573 - 584, ⟨10.1007/978-3-319-18720-4_48⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W138525918","https://openalex.org/W200963588","https://openalex.org/W406199516","https://openalex.org/W1489042383","https://openalex.org/W1491850195","https://openalex.org/W1539437305","https://openalex.org/W1556668337","https://openalex.org/W1982319337","https://openalex.org/W1995215698","https://openalex.org/W2002789811","https://openalex.org/W2014830777","https://openalex.org/W2036198597","https://openalex.org/W2059903402","https://openalex.org/W2077086634","https://openalex.org/W2078221657","https://openalex.org/W2101716776","https://openalex.org/W2131878101","https://openalex.org/W2157691228","https://openalex.org/W2159353534","https://openalex.org/W2561675875","https://openalex.org/W2915008565"],"related_works":["https://openalex.org/W2357143406","https://openalex.org/W3122644328","https://openalex.org/W2348567115","https://openalex.org/W2164080590","https://openalex.org/W1019837216","https://openalex.org/W2009424630","https://openalex.org/W4212786251","https://openalex.org/W2057144288","https://openalex.org/W2963937989","https://openalex.org/W2296203018"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}