{"id":"https://openalex.org/W7143290871","doi":"https://doi.org/10.1007/s10851-026-01288-8","title":"On the Fuzzy Convolution Operator in Image Processing in the Context of Studying Spectral Properties for Fuzzy Bounded Operators","display_name":"On the Fuzzy Convolution Operator in Image Processing in the Context of Studying Spectral Properties for Fuzzy Bounded Operators","publication_year":2026,"publication_date":"2026-03-30","ids":{"openalex":"https://openalex.org/W7143290871","doi":"https://doi.org/10.1007/s10851-026-01288-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-026-01288-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01288-8","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1007/s10851-026-01288-8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063960667","display_name":"Tudor B\u00eenzar","orcid":"https://orcid.org/0000-0002-2274-2975"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tudor B\u00eenzar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035200572","display_name":"Flavius Pater","orcid":"https://orcid.org/0000-0002-0550-6700"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Flavius Pater","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102291082","display_name":"Ciprian David","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ciprian David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063960667"],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.69145946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.2784000039100647,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.2784000039100647,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.23190000653266907,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.18330000340938568,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5740000009536743},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5026000142097473},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.46709999442100525},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4431999921798706},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4212000072002411},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.3968000113964081},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.39590001106262207},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.3684999942779541},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.3483000099658966}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6539000272750854},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5740000009536743},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5026000142097473},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.46709999442100525},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4431999921798706},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4212000072002411},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.3968000113964081},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.39590001106262207},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35429999232292175},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3483000099658966},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.34529998898506165},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.33410000801086426},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.3172000050544739},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.3070000112056732},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.28679999709129333},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.27810001373291016},{"id":"https://openalex.org/C68386474","wikidata":"https://www.wikidata.org/wiki/Q980557","display_name":"Operator norm","level":3,"score":0.2685000002384186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25360000133514404},{"id":"https://openalex.org/C2986395286","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy inference","level":5,"score":0.25200000405311584},{"id":"https://openalex.org/C194980680","wikidata":"https://www.wikidata.org/wiki/Q245450","display_name":"Circular convolution","level":5,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-026-01288-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01288-8","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10851-026-01288-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-026-01288-8","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1414306112","https://openalex.org/W1537910322","https://openalex.org/W1969710704","https://openalex.org/W1970442252","https://openalex.org/W1981724063","https://openalex.org/W1993465023","https://openalex.org/W2003214598","https://openalex.org/W2042419324","https://openalex.org/W2050155921","https://openalex.org/W2793952328","https://openalex.org/W2886634998","https://openalex.org/W2890998062","https://openalex.org/W2919115771","https://openalex.org/W3093477242","https://openalex.org/W3217571060","https://openalex.org/W4211122354","https://openalex.org/W4239308190","https://openalex.org/W4243066586","https://openalex.org/W4393156628","https://openalex.org/W4399988438","https://openalex.org/W4405945984"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"work":[2],"introduces":[3],"a":[4,29,34,41,59,80],"fuzzy":[5,24,30,48,86,101],"version":[6],"of":[7,23,62],"the":[8,21,38,85],"convolution":[9,88],"operator":[10,45,89],"and":[11,47,110],"explores":[12],"how":[13,69,100],"its":[14],"spectral":[15,56],"properties":[16],"extend":[17],"classical":[18],"results":[19,57],"into":[20],"setting":[22],"normed":[25],"spaces.":[26],"By":[27],"adopting":[28],"norm":[31],"that":[32],"satisfies":[33],"Hadz\u0306i\u0107":[35],"type":[36],"condition,":[37],"study":[39],"builds":[40],"bridge":[42],"between":[43],"traditional":[44],"theory":[46],"analysis.":[49],"The":[50],"paper":[51],"not":[52],"only":[53],"generalizes":[54],"known":[55],"in":[58,75,95],"setup":[60],"composed":[61],"just":[63],"metrizable":[64],"spaces":[65],"but":[66],"also":[67],"illustrates":[68],"these":[70],"concepts":[71],"can":[72,104],"be":[73],"applied":[74],"real-world":[76],"problems.":[77],"In":[78],"particular,":[79],"practical":[81],"algorithm":[82],"based":[83],"on":[84],"bounded":[87],"is":[90],"developed":[91],"for":[92],"image":[93],"enhancement":[94],"Contrast-Enhanced":[96],"Ultrasonography":[97],"(CEUS),":[98],"showing":[99],"mathematical":[102],"tools":[103],"contribute":[105],"to":[106],"improving":[107],"medical":[108],"imaging":[109],"interpretation.":[111]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-03-31T00:00:00"}