{"id":"https://openalex.org/W2967221360","doi":"https://doi.org/10.1007/s00500-019-04274-y","title":"Toward recursive spherical harmonics issued bi-filters: Part II: an associated spherical harmonics entropy for optimal modeling","display_name":"Toward recursive spherical harmonics issued bi-filters: Part II: an associated spherical harmonics entropy for optimal modeling","publication_year":2019,"publication_date":"2019-08-13","ids":{"openalex":"https://openalex.org/W2967221360","doi":"https://doi.org/10.1007/s00500-019-04274-y","mag":"2967221360"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-019-04274-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-019-04274-y","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5012749372","display_name":"Malika Jallouli","orcid":"https://orcid.org/0000-0002-1373-763X"},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Malika Jallouli","raw_affiliation_strings":["LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia"],"affiliations":[{"raw_affiliation_string":"LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098522659","display_name":"Wafa Bel Hadj Kh\u00e9lifa","orcid":null},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Wafa Bel\u00a0Hadj\u00a0Kh\u00e9lifa","raw_affiliation_strings":["LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia"],"affiliations":[{"raw_affiliation_string":"LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"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/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]},{"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"]}],"countries":["SA","TN"],"is_corresponding":true,"raw_author_name":"Anouar Ben\u00a0Mabrouk","raw_affiliation_strings":["Department of Mathematics, College of Sciences, University of Tabuk, Tabuk, Kingdom of Saudi Arabia","Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, Street of Assad Ibn Alfourat, University of Kairouan, 3100, Kairouan, Tunisia","Laboratory of Algebra, Number Theory and Nonlinear Analysis UR11ES50, Department of Mathematics, Faculty of Sciences, University of Monastir, 5000, Monastir, Tunisia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, University of Tabuk, Tabuk, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, Street of Assad Ibn Alfourat, University of Kairouan, 3100, Kairouan, Tunisia","institution_ids":["https://openalex.org/I55167344"]},{"raw_affiliation_string":"Laboratory of Algebra, Number Theory and Nonlinear Analysis UR11ES50, 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/A5000463539","display_name":"Mohamed Ali Mahjoub","orcid":"https://orcid.org/0000-0002-8181-4684"},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Mohamed Ali Mahjoub","raw_affiliation_strings":["LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia"],"affiliations":[{"raw_affiliation_string":"LATIS - Laboratory of Advanced Technology and Intelligent Systems, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, Universit\u00e9 de Sousse, 4023, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020210821"],"corresponding_institution_ids":["https://openalex.org/I166928557","https://openalex.org/I55167344","https://openalex.org/I72264486"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8175,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77342354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"7","first_page":"5231","last_page":"5243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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":0.9986000061035156,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9980999827384949,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9699000120162964,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.8808839321136475},{"id":"https://openalex.org/keywords/spin-weighted-spherical-harmonics","display_name":"Spin-weighted spherical harmonics","score":0.677218496799469},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.6227470636367798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5524724721908569},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.49239814281463623},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45837947726249695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4359015226364136},{"id":"https://openalex.org/keywords/zonal-spherical-harmonics","display_name":"Zonal spherical harmonics","score":0.4303194284439087},{"id":"https://openalex.org/keywords/solid-harmonics","display_name":"Solid harmonics","score":0.41091811656951904},{"id":"https://openalex.org/keywords/vector-spherical-harmonics","display_name":"Vector spherical harmonics","score":0.358421266078949},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.31002551317214966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29694509506225586},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.296344131231308},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1424846649169922},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11328813433647156}],"concepts":[{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.8808839321136475},{"id":"https://openalex.org/C20569695","wikidata":"https://www.wikidata.org/wiki/Q7577353","display_name":"Spin-weighted spherical harmonics","level":4,"score":0.677218496799469},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.6227470636367798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5524724721908569},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.49239814281463623},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45837947726249695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4359015226364136},{"id":"https://openalex.org/C39176672","wikidata":"https://www.wikidata.org/wiki/Q8073864","display_name":"Zonal spherical harmonics","level":4,"score":0.4303194284439087},{"id":"https://openalex.org/C199056591","wikidata":"https://www.wikidata.org/wiki/Q7557904","display_name":"Solid harmonics","level":4,"score":0.41091811656951904},{"id":"https://openalex.org/C77237485","wikidata":"https://www.wikidata.org/wiki/Q7917842","display_name":"Vector spherical harmonics","level":3,"score":0.358421266078949},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.31002551317214966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29694509506225586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.296344131231308},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1424846649169922},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11328813433647156},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"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":1,"locations":[{"id":"doi:10.1007/s00500-019-04274-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-019-04274-y","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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":50,"referenced_works":["https://openalex.org/W38725942","https://openalex.org/W88086765","https://openalex.org/W160617901","https://openalex.org/W207520403","https://openalex.org/W1603793597","https://openalex.org/W1938361421","https://openalex.org/W1971837457","https://openalex.org/W1986195633","https://openalex.org/W1986987267","https://openalex.org/W1988079540","https://openalex.org/W1995338809","https://openalex.org/W1995875735","https://openalex.org/W2004915807","https://openalex.org/W2006599158","https://openalex.org/W2009497651","https://openalex.org/W2016645126","https://openalex.org/W2037497826","https://openalex.org/W2042354455","https://openalex.org/W2045589873","https://openalex.org/W2058399510","https://openalex.org/W2061239542","https://openalex.org/W2063574562","https://openalex.org/W2090214304","https://openalex.org/W2098234395","https://openalex.org/W2106111870","https://openalex.org/W2106706488","https://openalex.org/W2123027366","https://openalex.org/W2132032898","https://openalex.org/W2137197875","https://openalex.org/W2137492554","https://openalex.org/W2141767566","https://openalex.org/W2143796243","https://openalex.org/W2147545324","https://openalex.org/W2158231134","https://openalex.org/W2206302789","https://openalex.org/W2340895730","https://openalex.org/W2578241711","https://openalex.org/W2578300101","https://openalex.org/W2598675007","https://openalex.org/W2789817813","https://openalex.org/W2790108014","https://openalex.org/W2898106616","https://openalex.org/W2898237357","https://openalex.org/W2912217407","https://openalex.org/W2937774188","https://openalex.org/W2963604113","https://openalex.org/W3102492354","https://openalex.org/W4200501717","https://openalex.org/W4211156068","https://openalex.org/W4243174823"],"related_works":["https://openalex.org/W2122307093","https://openalex.org/W2611466209","https://openalex.org/W4313065247","https://openalex.org/W4312647289","https://openalex.org/W4243714467","https://openalex.org/W2103011624","https://openalex.org/W2074739555","https://openalex.org/W4312842820","https://openalex.org/W1535035979","https://openalex.org/W380814507"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
