{"id":"https://openalex.org/W1992969554","doi":"https://doi.org/10.1109/icip.2013.6738624","title":"Vector mathematical morphological operators based on fuzzy extremum estimation","display_name":"Vector mathematical morphological operators based on fuzzy extremum estimation","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W1992969554","doi":"https://doi.org/10.1109/icip.2013.6738624","mag":"1992969554"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2013.6738624","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2013.6738624","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5046595612","display_name":"Tao Lei","orcid":"https://orcid.org/0000-0001-9639-6043"},"institutions":[{"id":"https://openalex.org/I3133134087","display_name":"Lanzhou Jiaotong University","ror":"https://ror.org/03144pv92","country_code":"CN","type":"education","lineage":["https://openalex.org/I3133134087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Lei","raw_affiliation_strings":["School of Electronic and Information Engineering, Lanzhou Jiao tong University, Lanzhou China, 730070","Sch. of Electron. & Inf. Eng., Lanzhou Jiao tong Univ., Lanzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Lanzhou Jiao tong University, Lanzhou China, 730070","institution_ids":["https://openalex.org/I3133134087"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., Lanzhou Jiao tong Univ., Lanzhou, China","institution_ids":["https://openalex.org/I3133134087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015995416","display_name":"Yangyu Fan","orcid":"https://orcid.org/0000-0003-0689-5418"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangyu Fan","raw_affiliation_strings":["School of Electronics and Information, Northwestern Polytechnical University Xi'an China 710072","Sch. of Electron. & Inf., Northwestern Polytech. Univ., Xian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Northwestern Polytechnical University Xi'an China 710072","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Sch. of Electron. & Inf., Northwestern Polytech. Univ., Xian, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057035633","display_name":"Chenrui Zhang","orcid":"https://orcid.org/0009-0000-2744-1306"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenrui Zhang","raw_affiliation_strings":["School of Electronics and Information, Northwestern Polytechnical University Xi'an China 710072","Sch. of Electron. & Inf., Northwestern Polytech. Univ., Xian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Northwestern Polytechnical University Xi'an China 710072","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Sch. of Electron. & Inf., Northwestern Polytech. Univ., Xian, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100730223","display_name":"Xiaopeng Wang","orcid":"https://orcid.org/0000-0002-4330-2151"},"institutions":[{"id":"https://openalex.org/I3133134087","display_name":"Lanzhou Jiaotong University","ror":"https://ror.org/03144pv92","country_code":"CN","type":"education","lineage":["https://openalex.org/I3133134087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaopeng Wang","raw_affiliation_strings":["School of Electronic and Information Engineering, Lanzhou Jiao tong University, Lanzhou China, 730070","Sch. of Electron. & Inf. Eng., Lanzhou Jiao tong Univ., Lanzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Lanzhou Jiao tong University, Lanzhou China, 730070","institution_ids":["https://openalex.org/I3133134087"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., Lanzhou Jiao tong Univ., Lanzhou, China","institution_ids":["https://openalex.org/I3133134087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3031","last_page":"3034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9796000123023987,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.972100019454956,"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/lexicographical-order","display_name":"Lexicographical order","score":0.8765408992767334},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5968868732452393},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.548871636390686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5043665170669556},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.46892672777175903},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.44630736112594604},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4441155195236206},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44094690680503845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4369913339614868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4310588240623474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3733774423599243},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2822099030017853},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2307218313217163}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8765408992767334},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5968868732452393},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.548871636390686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5043665170669556},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.46892672777175903},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.44630736112594604},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4441155195236206},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44094690680503845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4369913339614868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4310588240623474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3733774423599243},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2822099030017853},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2307218313217163},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2013.6738624","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2013.6738624","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2009213033","https://openalex.org/W2025859578","https://openalex.org/W2028431569","https://openalex.org/W2032777428","https://openalex.org/W2058368049","https://openalex.org/W2074427554","https://openalex.org/W2087575264","https://openalex.org/W2101496652","https://openalex.org/W2109853861","https://openalex.org/W2116145986"],"related_works":["https://openalex.org/W1993634787","https://openalex.org/W3125614403","https://openalex.org/W4400317913","https://openalex.org/W2476923378","https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W3100240142","https://openalex.org/W4225472102","https://openalex.org/W2101496652","https://openalex.org/W3004061698"],"abstract_inverted_index":{"Two":[0],"fundamental":[1],"problems":[2],"in":[3,13],"vector":[4,89,107,115],"extremum":[5,79,108],"estimation":[6,80],"based":[7],"on":[8,41,106],"lexicographical":[9,29,37],"ordering":[10,38],"are":[11,63],"investigated":[12],"this":[14],"paper.":[15],"The":[16],"first":[17,43],"problem":[18],"is":[19,34,83],"the":[20,23,32,36,42,48,56,68,93,100,111],"choice":[21],"of":[22,67,71,114],"optimal":[24],"marginal":[25,61],"components":[26,50,62],"applying":[27],"to":[28,47,88,121],"ordering.":[30,90],"And":[31],"second":[33],"that":[35,99],"only":[39],"depends":[40],"component":[44],"which":[45],"leads":[46],"followed":[49],"taking":[51],"no":[52],"effect.":[53],"To":[54],"solve":[55],"two":[57],"problems,":[58],"three":[59],"novel":[60],"presented":[64,112],"by":[65],"means":[66],"quaternion":[69],"description":[70],"a":[72,76],"color":[73,123],"image.":[74],"Moreover,":[75],"new":[77],"fuzzy":[78],"algorithm":[81],"(FEEA)":[82],"also":[84],"proposed":[85,101],"and":[86,110,125],"applied":[87],"Comparing":[91],"with":[92],"existing":[94],"solutions,":[95],"experimental":[96],"results":[97],"show":[98],"FEEA":[102],"has":[103],"better":[104,127],"effect":[105],"estimation,":[109],"frame":[113],"mathematical":[116],"morphology":[117],"can":[118],"be":[119],"used":[120],"process":[122],"image":[124],"provide":[126],"result.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}