{"id":"https://openalex.org/W2981275418","doi":"https://doi.org/10.1007/s10851-019-00914-y","title":"New Type of Gegenbauer\u2013Hermite Monogenic Polynomials and Associated Clifford Wavelets","display_name":"New Type of Gegenbauer\u2013Hermite Monogenic Polynomials and Associated Clifford Wavelets","publication_year":2019,"publication_date":"2019-10-19","ids":{"openalex":"https://openalex.org/W2981275418","doi":"https://doi.org/10.1007/s10851-019-00914-y","mag":"2981275418"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-019-00914-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-019-00914-y","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sabrine Arfaoui","orcid":"https://orcid.org/0000-0002-2571-1066"},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]},{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA","TN"],"is_corresponding":true,"raw_author_name":"Sabrine Arfaoui","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia","Laboratory of Algebra, Number Theory and Nonlinear Analysis LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, 5000, Monastir, Tunisia"],"raw_orcid":"https://orcid.org/0000-0002-2571-1066","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Laboratory of Algebra, Number Theory and Nonlinear Analysis LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, 5000, Monastir, Tunisia","institution_ids":["https://openalex.org/I166928557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020210821","display_name":"Anouar Ben Mabrouk","orcid":"https://orcid.org/0000-0002-2571-1066"},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]},{"id":"https://openalex.org/I55167344","display_name":"University of Kairouan","ror":"https://ror.org/024mpte60","country_code":"TN","type":"education","lineage":["https://openalex.org/I55167344"]},{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA","TN"],"is_corresponding":false,"raw_author_name":"Anouar Ben\u00a0Mabrouk","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia","Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, University of Kairouan, 3100, Kairouan, Tunisia","Laboratory of Algebra, Number Theory and Nonlinear Analysis LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, 5000, Monastir, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, University of Kairouan, 3100, Kairouan, Tunisia","institution_ids":["https://openalex.org/I55167344"]},{"raw_affiliation_string":"Laboratory of Algebra, Number Theory and Nonlinear Analysis LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, 5000, Monastir, Tunisia","institution_ids":["https://openalex.org/I166928557"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I138938424","display_name":"Universit\u00e0 degli Studi della Tuscia","ror":"https://ror.org/03svwq685","country_code":"IT","type":"education","lineage":["https://openalex.org/I138938424"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carlo Cattani","raw_affiliation_strings":["Engineering School (DEIM), Tuscia University, Viterbo, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering School (DEIM), Tuscia University, Viterbo, Italy","institution_ids":["https://openalex.org/I138938424"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I166928557","https://openalex.org/I72264486"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.6517,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90346951,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"62","issue":"1","first_page":"73","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9681000113487244,"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/wavelet","display_name":"Wavelet","score":0.8128342628479004},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.8018537759780884},{"id":"https://openalex.org/keywords/clifford-analysis","display_name":"Clifford analysis","score":0.6207785606384277},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5694126486778259},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5571919679641724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5194311141967773},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4950332045555115},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4052349627017975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3993021249771118},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3910452723503113},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3774537146091461},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34898221492767334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28047528862953186},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2193593680858612}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8128342628479004},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.8018537759780884},{"id":"https://openalex.org/C177547823","wikidata":"https://www.wikidata.org/wiki/Q5133083","display_name":"Clifford analysis","level":3,"score":0.6207785606384277},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5694126486778259},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5571919679641724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5194311141967773},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4950332045555115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4052349627017975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3993021249771118},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3910452723503113},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3774537146091461},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34898221492767334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28047528862953186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2193593680858612},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-019-00914-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-019-00914-y","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":124,"referenced_works":["https://openalex.org/W87549149","https://openalex.org/W91833744","https://openalex.org/W132043211","https://openalex.org/W142363983","https://openalex.org/W645922050","https://openalex.org/W1246572632","https://openalex.org/W1512111774","https://openalex.org/W1526598619","https://openalex.org/W1526837621","https://openalex.org/W1551222088","https://openalex.org/W1579300862","https://openalex.org/W1600180963","https://openalex.org/W1601830473","https://openalex.org/W1621419977","https://openalex.org/W1636283845","https://openalex.org/W1672270666","https://openalex.org/W1970186335","https://openalex.org/W1970220379","https://openalex.org/W1973011350","https://openalex.org/W1974413997","https://openalex.org/W1975304761","https://openalex.org/W1976712197","https://openalex.org/W1980418485","https://openalex.org/W1986195633","https://openalex.org/W1988374952","https://openalex.org/W1990320503","https://openalex.org/W2000805234","https://openalex.org/W2005412877","https://openalex.org/W2008091176","https://openalex.org/W2009672398","https://openalex.org/W2010339367","https://openalex.org/W2010477796","https://openalex.org/W2012076877","https://openalex.org/W2012743034","https://openalex.org/W2018862527","https://openalex.org/W2019613980","https://openalex.org/W2020524426","https://openalex.org/W2025458350","https://openalex.org/W2028202099","https://openalex.org/W2030575263","https://openalex.org/W2033303751","https://openalex.org/W2037848640","https://openalex.org/W2039821819","https://openalex.org/W2051609286","https://openalex.org/W2059993298","https://openalex.org/W2063303072","https://openalex.org/W2064011816","https://openalex.org/W2065050220","https://openalex.org/W2065163316","https://openalex.org/W2071537189","https://openalex.org/W2072084087","https://openalex.org/W2073398407","https://openalex.org/W2075828801","https://openalex.org/W2077994308","https://openalex.org/W2079605566","https://openalex.org/W2080556518","https://openalex.org/W2080575124","https://openalex.org/W2087175561","https://openalex.org/W2089045047","https://openalex.org/W2090988766","https://openalex.org/W2090994919","https://openalex.org/W2096056457","https://openalex.org/W2096117420","https://openalex.org/W2099928373","https://openalex.org/W2101750704","https://openalex.org/W2105326322","https://openalex.org/W2105902929","https://openalex.org/W2110538096","https://openalex.org/W2112852295","https://openalex.org/W2114988298","https://openalex.org/W2115840790","https://openalex.org/W2122380698","https://openalex.org/W2126608037","https://openalex.org/W2129623049","https://openalex.org/W2132439726","https://openalex.org/W2133486681","https://openalex.org/W2134429331","https://openalex.org/W2135269154","https://openalex.org/W2137151717","https://openalex.org/W2143084510","https://openalex.org/W2148284840","https://openalex.org/W2153180326","https://openalex.org/W2161911785","https://openalex.org/W2162200767","https://openalex.org/W2165139566","https://openalex.org/W2190221683","https://openalex.org/W2227913379","https://openalex.org/W2285261643","https://openalex.org/W2285269575","https://openalex.org/W2302751505","https://openalex.org/W2326262373","https://openalex.org/W2332894437","https://openalex.org/W2339602636","https://openalex.org/W2473526392","https://openalex.org/W2481653444","https://openalex.org/W2485227435","https://openalex.org/W2485539825","https://openalex.org/W2503127310","https://openalex.org/W2505186773","https://openalex.org/W2517583674","https://openalex.org/W2546239211","https://openalex.org/W2592871976","https://openalex.org/W2605740794","https://openalex.org/W2609926614","https://openalex.org/W2762395947","https://openalex.org/W2775544063","https://openalex.org/W2775662898","https://openalex.org/W2778863463","https://openalex.org/W2791643277","https://openalex.org/W2795916487","https://openalex.org/W2806387139","https://openalex.org/W2810059785","https://openalex.org/W2964220273","https://openalex.org/W3102588048","https://openalex.org/W3102635765","https://openalex.org/W3124419015","https://openalex.org/W3135535600","https://openalex.org/W3140343268","https://openalex.org/W4237994936","https://openalex.org/W4241918139","https://openalex.org/W4242660797","https://openalex.org/W4285719527","https://openalex.org/W6602657927","https://openalex.org/W6603982171"],"related_works":["https://openalex.org/W4383100562","https://openalex.org/W175020571","https://openalex.org/W2010571903","https://openalex.org/W1965919058","https://openalex.org/W2382174632","https://openalex.org/W1697362253","https://openalex.org/W1525949129","https://openalex.org/W2076442606","https://openalex.org/W2053286403","https://openalex.org/W2091195407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
