{"id":"https://openalex.org/W2050929571","doi":"https://doi.org/10.1016/s0165-1684(01)00060-3","title":"The approximation of a morphological opening and closing in the presence of noise","display_name":"The approximation of a morphological opening and closing in the presence of noise","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2050929571","doi":"https://doi.org/10.1016/s0165-1684(01)00060-3","mag":"2050929571"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-1684(01)00060-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(01)00060-3","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},"type":"article","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/A5021229459","display_name":"Johan Van Horebeek","orcid":null},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Johan Van Horebeek","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato, Gto Mexico","Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato Gto., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato, Gto Mexico","institution_ids":["https://openalex.org/I124618812"]},{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato Gto., Mexico","institution_ids":["https://openalex.org/I124618812"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060313316","display_name":"Ernesto Tapia-Rodriguez","orcid":null},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ernesto Tapia-Rodriguez","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato, Gto Mexico","Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato Gto., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato, Gto Mexico","institution_ids":["https://openalex.org/I124618812"]},{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Apartado Postal 402, 36000 Guanajuato Gto., Mexico","institution_ids":["https://openalex.org/I124618812"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021229459"],"corresponding_institution_ids":["https://openalex.org/I124618812"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":null,"fwci":0.7154,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76613075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"81","issue":"9","first_page":"1991","last_page":"1995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9988999962806702,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9988999962806702,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9912999868392944,"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/closing","display_name":"Closing (real estate)","score":0.8945209980010986},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.639859139919281},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5620452761650085},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.548309326171875},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5349302291870117},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.48249101638793945},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.47583842277526855},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.44965294003486633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4350265860557556},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4257376790046692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.423766553401947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3185878396034241},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3076920807361603},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24141865968704224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17482110857963562},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.15763843059539795},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06212398409843445}],"concepts":[{"id":"https://openalex.org/C2778775528","wikidata":"https://www.wikidata.org/wiki/Q5135432","display_name":"Closing (real estate)","level":2,"score":0.8945209980010986},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.639859139919281},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5620452761650085},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.548309326171875},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5349302291870117},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.48249101638793945},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.47583842277526855},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.44965294003486633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4350265860557556},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4257376790046692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.423766553401947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3185878396034241},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3076920807361603},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24141865968704224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17482110857963562},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.15763843059539795},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06212398409843445},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0165-1684(01)00060-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(01)00060-3","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.200.2466","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.200.2466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://page.mi.fu-berlin.de/~tapia/papers/V1BFOGG8.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W149890774","https://openalex.org/W433234986","https://openalex.org/W651832393","https://openalex.org/W1531459049","https://openalex.org/W1590218343","https://openalex.org/W1601760457","https://openalex.org/W2029791157","https://openalex.org/W2089275883","https://openalex.org/W2104793605","https://openalex.org/W2164741953","https://openalex.org/W6615042847"],"related_works":["https://openalex.org/W2517007886","https://openalex.org/W2355406920","https://openalex.org/W2058740282","https://openalex.org/W2158414164","https://openalex.org/W2594476094","https://openalex.org/W2375111338","https://openalex.org/W2220864757","https://openalex.org/W2352304637","https://openalex.org/W2131169870","https://openalex.org/W3014136459"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
