{"id":"https://openalex.org/W2143590748","doi":"https://doi.org/10.1109/igarss.2007.4423284","title":"The use of multidimensional copulas to describe amplitude distribution of polarimetric SAR data","display_name":"The use of multidimensional copulas to describe amplitude distribution of polarimetric SAR data","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2143590748","doi":"https://doi.org/10.1109/igarss.2007.4423284","mag":"2143590748"},"language":"en","primary_location":{"id":"doi:10.1109/igarss.2007.4423284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2007.4423284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Geoscience and Remote Sensing Symposium","raw_type":"proceedings-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/A5101721555","display_name":"Gr\u00e9goire Mercier","orcid":"https://orcid.org/0000-0002-0619-9503"},"institutions":[{"id":"https://openalex.org/I180375564","display_name":"\u00c9cole nationale d'ing\u00e9nieurs de Brest","ror":"https://ror.org/02ypw0a72","country_code":"FR","type":"education","lineage":["https://openalex.org/I180375564"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210148559","display_name":"\u00c9cole nationale sup\u00e9rieure de techniques avanc\u00e9es Bretagne","ror":"https://ror.org/059n54003","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4210148559"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Gregoire Mercier","raw_affiliation_strings":["GET / ENST Bretagne / dpt. ITI, CNRS UMR 2872 TAMCIC/TIME Technopole Brest-Iroise, Brest, France","CNRS UMR 2872 TAMCIC / TIME, Brest"],"affiliations":[{"raw_affiliation_string":"GET / ENST Bretagne / dpt. ITI, CNRS UMR 2872 TAMCIC/TIME Technopole Brest-Iroise, Brest, France","institution_ids":["https://openalex.org/I180375564","https://openalex.org/I1294671590","https://openalex.org/I4210148559"]},{"raw_affiliation_string":"CNRS UMR 2872 TAMCIC / TIME, Brest","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059614163","display_name":"Lynda Bouchemakh","orcid":"https://orcid.org/0000-0001-5342-135X"},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]},{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ","FR"],"is_corresponding":false,"raw_author_name":"Lynda Bouchemakh","raw_affiliation_strings":["Laboratory Traitement dImages et Rayonnement Facult\u00e8 dElectronique et dInformatique, Universit\u00e9 des Sciences et Technologie Houari Boumediene, Algiers, Algeria","Lab. Traitement d\u00bfImages et Rayonnement, Facult\u00e9 d\u00bfElectronique et d\u00bfInformatique, Universit\u00e9 des Sciences et Technologie, Houari Boumediene (USTHB), BP32 EL Alia, Bab Ezzouar, 16111, Alger, Algerie, France"],"affiliations":[{"raw_affiliation_string":"Laboratory Traitement dImages et Rayonnement Facult\u00e8 dElectronique et dInformatique, Universit\u00e9 des Sciences et Technologie Houari Boumediene, Algiers, Algeria","institution_ids":["https://openalex.org/I157169809"]},{"raw_affiliation_string":"Lab. Traitement d\u00bfImages et Rayonnement, Facult\u00e9 d\u00bfElectronique et d\u00bfInformatique, Universit\u00e9 des Sciences et Technologie, Houari Boumediene (USTHB), BP32 EL Alia, Bab Ezzouar, 16111, Alger, Algerie, France","institution_ids":["https://openalex.org/I4210161954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019837937","display_name":"Youcef Smara","orcid":"https://orcid.org/0000-0003-3762-1719"},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]},{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ","FR"],"is_corresponding":false,"raw_author_name":"Youcef Smara","raw_affiliation_strings":["Laboratory Traitement dImages et Rayonnement Facult\u00e8 dElectronique et dInformatique, Universit\u00e9 des Sciences et Technologie Houari Boumediene, Algiers, Algeria","Lab. Traitement d\u00bfImages et Rayonnement, Facult\u00e9 d\u00bfElectronique et d\u00bfInformatique, Universit\u00e9 des Sciences et Technologie, Houari Boumediene (USTHB), BP32 EL Alia, Bab Ezzouar, 16111, Alger, Algerie, France"],"affiliations":[{"raw_affiliation_string":"Laboratory Traitement dImages et Rayonnement Facult\u00e8 dElectronique et dInformatique, Universit\u00e9 des Sciences et Technologie Houari Boumediene, Algiers, Algeria","institution_ids":["https://openalex.org/I157169809"]},{"raw_affiliation_string":"Lab. Traitement d\u00bfImages et Rayonnement, Facult\u00e9 d\u00bfElectronique et d\u00bfInformatique, Universit\u00e9 des Sciences et Technologie, Houari Boumediene (USTHB), BP32 EL Alia, Bab Ezzouar, 16111, Alger, Algerie, France","institution_ids":["https://openalex.org/I4210161954"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101721555"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I4210148559"],"apc_list":null,"apc_paid":null,"fwci":5.3929,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95310174,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"73","issue":null,"first_page":"2236","last_page":"2239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9617999792098999,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/wishart-distribution","display_name":"Wishart distribution","score":0.8940475583076477},{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.8318060040473938},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5342347621917725},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.5307759046554565},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.4962382912635803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48849380016326904},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.47658416628837585},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.45692750811576843},{"id":"https://openalex.org/keywords/classifier","display_name":"Classifier (UML)","score":0.4325960874557495},{"id":"https://openalex.org/keywords/generalized-gamma-distribution","display_name":"Generalized gamma distribution","score":0.4288766086101532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4020254611968994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.361648291349411},{"id":"https://openalex.org/keywords/gamma-distribution","display_name":"Gamma distribution","score":0.33748024702072144},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32123708724975586},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.25589659810066223},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2113053798675537},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.19269093871116638},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.16930460929870605},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1497367024421692},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.09912729263305664}],"concepts":[{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.8940475583076477},{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.8318060040473938},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5342347621917725},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5307759046554565},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.4962382912635803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48849380016326904},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47658416628837585},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.45692750811576843},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.4325960874557495},{"id":"https://openalex.org/C42337464","wikidata":"https://www.wikidata.org/wiki/Q5532478","display_name":"Generalized gamma distribution","level":3,"score":0.4288766086101532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4020254611968994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.361648291349411},{"id":"https://openalex.org/C149717495","wikidata":"https://www.wikidata.org/wiki/Q117806","display_name":"Gamma distribution","level":2,"score":0.33748024702072144},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32123708724975586},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.25589659810066223},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2113053798675537},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.19269093871116638},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.16930460929870605},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1497367024421692},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.09912729263305664},{"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:10.1109/igarss.2007.4423284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/igarss.2007.4423284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Geoscience and Remote Sensing Symposium","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1970102934","https://openalex.org/W1985409483","https://openalex.org/W1995945562","https://openalex.org/W2019011597","https://openalex.org/W2042020446","https://openalex.org/W2056003895","https://openalex.org/W2074319623","https://openalex.org/W2078985447","https://openalex.org/W2101690226","https://openalex.org/W2107897351","https://openalex.org/W2113730940","https://openalex.org/W2116082099","https://openalex.org/W2119436275","https://openalex.org/W2120611194","https://openalex.org/W2131523739","https://openalex.org/W2135239423","https://openalex.org/W2142587760","https://openalex.org/W2145696962","https://openalex.org/W2161357997","https://openalex.org/W2798180542","https://openalex.org/W4240146822","https://openalex.org/W4241861175","https://openalex.org/W6676836572","https://openalex.org/W6679762708"],"related_works":["https://openalex.org/W4229773611","https://openalex.org/W4256284424","https://openalex.org/W2971192015","https://openalex.org/W4233558325","https://openalex.org/W2078788949","https://openalex.org/W2136304774","https://openalex.org/W1974104128","https://openalex.org/W4247488749","https://openalex.org/W2021894721","https://openalex.org/W2549653571"],"abstract_inverted_index":{"The":[0,22,45,86,165,186],"paper":[1,166],"focuses":[2,168],"on":[3,26,169,176,191,226],"a":[4,57,121,156,235,245],"flexible":[5,75,123],"model":[6,23,72,93,161,171],"of":[7,18,69,103,126,131,139,146,212],"multidimensional":[8,109,183],"probability":[9],"density":[10],"function":[11],"(pdf)":[12],"dedicated":[13],"to":[14,52,56,95,114,120,149,180],"describe":[15],"amplitude":[16],"distribution":[17],"polarimetric":[19,35],"SAR":[20],"data.":[21],"is":[24,51,73,94,197],"based":[25],"the":[27,32,41,71,77,91,97,101,104,129,143,170,177,195,201,213,217],"copula":[28,49,92,190],"theory":[29,50],"for":[30,154,189],"characterizing":[31],"dependency":[33,196],"between":[34,200,205,219],"channels":[36],"(HH,":[37],"VV,":[38],"HV/VH":[39],"or":[40,119],"target":[42],"vector":[43],"components).":[44],"benefit":[46,88],"in":[47,89,193],"using":[48,90],"extend":[53],"correlation":[54],"concept":[55,99],"wider":[58],"dependence":[59,98,184],"one,":[60],"which":[61,194],"may":[62,83,111,162,209],"not":[63,198,210],"be":[64,112,150,163,211,232,242],"linear.":[65],"From":[66],"this":[67,108],"point":[68],"view,":[70],"more":[74,122,174],"than":[76],"classical":[78,115],"Wishart":[79],"distribution.":[80],"But":[81],"it":[82],"include":[84],"it.":[85],"other":[87],"separate":[96],"from":[100],"shape":[102],"marginal":[105],"pdfs.":[106],"Hence,":[107],"characterization":[110],"linked":[113],"1D":[116,160],"gamma":[117],"pdf,":[118],"Pearson":[124],"system":[125,145],"distributions.":[127],"In":[128],"case":[130],"high":[132],"resolution":[133],"data,":[134],"pdf":[135],"shapes":[136],"are":[137,224],"becoming":[138],"heavy":[140],"tailed":[141],"and":[142,173,207,221,228],"Fisher":[144],"distributions":[147],"seems":[148],"an":[151],"interesting":[152],"alternative":[153],"such":[155,182],"model.":[157],"Any":[158],"parametric":[159],"used.":[164],"mainly":[167],"itself":[172],"precisely":[175],"technique":[178],"required":[179],"construct":[181],"function.":[185],"difficulties":[187],"arise":[188],"3D":[192],"homogeneous":[199],"components":[202],"(the":[203],"link":[204],"HH":[206,220],"VV":[208],"same":[214],"behavior":[215],"as":[216],"one":[218],"HV).":[222],"Illustrations":[223],"given":[225],"classification":[227],"despeckling.":[229],"Classification":[230],"will":[231,241],"performed":[233],"by":[234,244],"stochastic":[236],"estimation":[237],"maximisation":[238],"(SEM).":[239],"Despeckling":[240],"achieved":[243],"maximum":[246],"A":[247],"posteriori":[248],"technique.":[249]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
