{"id":"https://openalex.org/W2059977925","doi":"https://doi.org/10.1007/s10851-014-0498-z","title":"Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension","display_name":"Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension","publication_year":2014,"publication_date":"2014-02-07","ids":{"openalex":"https://openalex.org/W2059977925","doi":"https://doi.org/10.1007/s10851-014-0498-z","mag":"2059977925"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-014-0498-z","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00871498/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060281976","display_name":"Jean Cousty","orcid":"https://orcid.org/0000-0002-2163-9714"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"funder","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"funder","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Cousty","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#","institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084597676","display_name":"Gilles Bertrand","orcid":"https://orcid.org/0009-0004-7294-7081"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"funder","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"funder","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Bertrand","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#","institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056488908","display_name":"Michel Couprie","orcid":"https://orcid.org/0000-0003-1728-636X"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"funder","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"funder","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Couprie","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#","institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I204730241"]}]},{"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/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"funder","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"funder","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Najman","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, A3SI ESIEE, Noisy-le-Grand Cedex, France#TAB#","institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I204730241"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.414,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":20,"citation_normalized_percentile":{"value":0.882437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"50","issue":"3","first_page":"261","last_page":"285"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997,"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":0.9997,"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":0.9882,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9725,"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":[],"concepts":[{"id":"https://openalex.org/C150547873","wikidata":"https://www.wikidata.org/wiki/Q947851","display_name":"Watershed","level":2,"score":0.8144721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.74329925},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6047735},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.583112},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46744737},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4653545},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3653623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17119738},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09968531}],"mesh":[],"locations_count":7,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-014-0498-z","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00871498","pdf_url":"https://hal.science/hal-00871498/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00871498v2/document","pdf_url":"https://hal.science/hal-00871498v2/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.406.2082","pdf_url":"http://hal.inria.fr/docs/00/87/14/98/PDF/SimplicialWatershed.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00871498v2/file/SimplicialWatershed.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-00871498v2/file/SimplicialWatershed.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00871498v2/file/SimplicialWatershed.pdf","pdf_url":"https://hal.science/hal-00871498v2/file/SimplicialWatershed.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00871498v2/document","pdf_url":"https://hal.archives-ouvertes.fr/hal-00871498v2/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.science/hal-00871498","pdf_url":"https://hal.science/hal-00871498/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Life on land","id":"https://metadata.un.org/sdg/15","score":0.62}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":56,"referenced_works":["https://openalex.org/W105291018","https://openalex.org/W1481353708","https://openalex.org/W1494302930","https://openalex.org/W1552904969","https://openalex.org/W1557956199","https://openalex.org/W1567994149","https://openalex.org/W1586525326","https://openalex.org/W1631092227","https://openalex.org/W1652775531","https://openalex.org/W175588445","https://openalex.org/W1776137320","https://openalex.org/W1839740337","https://openalex.org/W1925697890","https://openalex.org/W1973883000","https://openalex.org/W1974655611","https://openalex.org/W1977010014","https://openalex.org/W1977257110","https://openalex.org/W1978496755","https://openalex.org/W1985576672","https://openalex.org/W1989409369","https://openalex.org/W1991663161","https://openalex.org/W1991863948","https://openalex.org/W1995215698","https://openalex.org/W1997709480","https://openalex.org/W2023808821","https://openalex.org/W2039081484","https://openalex.org/W2070236622","https://openalex.org/W2086262162","https://openalex.org/W2086860590","https://openalex.org/W2091578155","https://openalex.org/W2099300414","https://openalex.org/W2101853828","https://openalex.org/W2106874266","https://openalex.org/W2109040335","https://openalex.org/W2111140634","https://openalex.org/W2116707521","https://openalex.org/W2123340627","https://openalex.org/W2124260943","https://openalex.org/W2128000934","https://openalex.org/W2131262506","https://openalex.org/W2134313450","https://openalex.org/W2136732951","https://openalex.org/W2146019744","https://openalex.org/W2159329531","https://openalex.org/W2164741953","https://openalex.org/W2484464261","https://openalex.org/W2499066376","https://openalex.org/W2596702261","https://openalex.org/W2752885492","https://openalex.org/W29661792","https://openalex.org/W3039194946","https://openalex.org/W3099248470","https://openalex.org/W3123440550","https://openalex.org/W3145128584","https://openalex.org/W4230982142","https://openalex.org/W631910574"],"related_works":["https://openalex.org/W4387955966","https://openalex.org/W2493062119","https://openalex.org/W2364060089","https://openalex.org/W2343332128","https://openalex.org/W2144571534","https://openalex.org/W214080024","https://openalex.org/W2045564889","https://openalex.org/W1992288292","https://openalex.org/W1980614686","https://openalex.org/W1134571055"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2059977925","counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-04-08T18:52:43.294540","created_date":"2016-06-24"}