{"id":"https://openalex.org/W4315705992","doi":"https://doi.org/10.1007/s10851-023-01157-8","title":"Discrete Morse Functions and Watersheds","display_name":"Discrete Morse Functions and Watersheds","publication_year":2023,"publication_date":"2023-08-10","ids":{"openalex":"https://openalex.org/W4315705992","doi":"https://doi.org/10.1007/s10851-023-01157-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-023-01157-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-023-01157-8","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03928064v3/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084597676","display_name":"Gilles Bertrand","orcid":"https://orcid.org/0009-0004-7294-7081"},"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/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/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Bertrand","raw_affiliation_strings":["LIGM, Univ Gustave Eiffel and CNRS, F-77454, Marne-la-Vall\u00e9e, France","LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 Gustave Eiffel, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM, Univ Gustave Eiffel and CNRS, F-77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 Gustave Eiffel, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I4210154111"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050575266","display_name":"Nicolas Boutry","orcid":"https://orcid.org/0000-0001-6278-4638"},"institutions":[{"id":"https://openalex.org/I4210126302","display_name":"Syst\u00e8mes d'Elevage M\u00e9diterran\u00e9ens et Tropicaux - Laboratoire de Recherche 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"]},{"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":"Nicolas Boutry","raw_affiliation_strings":["Research and Development Laboratory (LRDE), EPITA Research Laboratory, EPITA, F-94270, Le Kremlin-Bic\u00eatre, France","LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Development Laboratory (LRDE), EPITA Research Laboratory, EPITA, F-94270, Le Kremlin-Bic\u00eatre, France","institution_ids":["https://openalex.org/I4210138808"]},{"raw_affiliation_string":"LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052368829","display_name":"Laurent Najman","orcid":"https://orcid.org/0000-0002-6190-0235"},"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/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/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Najman","raw_affiliation_strings":["LIGM, Univ Gustave Eiffel and CNRS, F-77454, Marne-la-Vall\u00e9e, France","LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 Gustave Eiffel, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM, Univ Gustave Eiffel and CNRS, F-77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 Gustave Eiffel, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052368829"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518","https://openalex.org/I4210154111"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.2872,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53530832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"65","issue":"5","first_page":"787","last_page":"801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.998199999332428,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.9362518787384033},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.7547727227210999},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6765937805175781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6346848011016846},{"id":"https://openalex.org/keywords/watershed","display_name":"Watershed","score":0.624508261680603},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.6157785058021545},{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.5702950954437256},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4603421986103058},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4545336365699768},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4258365333080292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3970896899700165},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.347078800201416},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3046203553676605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21310436725616455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20578768849372864},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08886140584945679},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08510127663612366}],"concepts":[{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.9362518787384033},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.7547727227210999},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6765937805175781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6346848011016846},{"id":"https://openalex.org/C150547873","wikidata":"https://www.wikidata.org/wiki/Q947851","display_name":"Watershed","level":2,"score":0.624508261680603},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.6157785058021545},{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.5702950954437256},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4603421986103058},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4545336365699768},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4258365333080292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3970896899700165},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.347078800201416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3046203553676605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21310436725616455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20578768849372864},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08886140584945679},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08510127663612366},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-023-01157-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-023-01157-8","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03928064v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03928064","pdf_url":"https://hal.science/hal-03928064v3/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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, 2023, 65, pp.787--801. ⟨10.1007/s10851-023-01157-8⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03928064v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03928064","pdf_url":"https://hal.science/hal-03928064v3/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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, 2023, 65, pp.787--801. ⟨10.1007/s10851-023-01157-8⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.7400000095367432,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315705992.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W114349273","https://openalex.org/W642169424","https://openalex.org/W1481353708","https://openalex.org/W1517688968","https://openalex.org/W1535866048","https://openalex.org/W1600748172","https://openalex.org/W1977010014","https://openalex.org/W1978331308","https://openalex.org/W1997709480","https://openalex.org/W2021939349","https://openalex.org/W2059977925","https://openalex.org/W2064020260","https://openalex.org/W2065328491","https://openalex.org/W2066167065","https://openalex.org/W2086262162","https://openalex.org/W2090769791","https://openalex.org/W2110158442","https://openalex.org/W2111140634","https://openalex.org/W2124260943","https://openalex.org/W2126174977","https://openalex.org/W2128000934","https://openalex.org/W2128356031","https://openalex.org/W2143983457","https://openalex.org/W2159329531","https://openalex.org/W2407611583","https://openalex.org/W2621212586","https://openalex.org/W2794458047","https://openalex.org/W2909255296","https://openalex.org/W2921970995","https://openalex.org/W2979903601","https://openalex.org/W4205413975","https://openalex.org/W4210428078","https://openalex.org/W4231916799","https://openalex.org/W4233690291","https://openalex.org/W4247118940","https://openalex.org/W4282830269","https://openalex.org/W4302305539"],"related_works":["https://openalex.org/W1595332435","https://openalex.org/W2185671344","https://openalex.org/W4389768470","https://openalex.org/W1976948755","https://openalex.org/W4308897745","https://openalex.org/W2106662121","https://openalex.org/W2182193748","https://openalex.org/W4391621586","https://openalex.org/W2324556229","https://openalex.org/W4288093746"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}