{"id":"https://openalex.org/W2482988490","doi":"https://doi.org/10.1109/tgrs.2016.2584144","title":"On the Use of the $l_{2}$-Norm for Texture Analysis of Polarimetric SAR Data","display_name":"On the Use of the $l_{2}$-Norm for Texture Analysis of Polarimetric SAR Data","publication_year":2016,"publication_date":"2016-07-26","ids":{"openalex":"https://openalex.org/W2482988490","doi":"https://doi.org/10.1109/tgrs.2016.2584144","mag":"2482988490"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2016.2584144","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2016.2584144","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2117/97432","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033542967","display_name":"Xinping Deng","orcid":"https://orcid.org/0000-0003-3060-6022"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Xinping Deng","raw_affiliation_strings":["Department of Remote Sensing Laboratory, Signal Theory and Communications, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Remote Sensing Laboratory, Signal Theory and Communications, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103228763","display_name":"Carlos L\u00f3pez-Mart\u00ednez","orcid":"https://orcid.org/0000-0002-1366-9446"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Lopez-Martinez","raw_affiliation_strings":["Department of Remote Sensing Laboratory, Signal Theory and Communications, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Remote Sensing Laboratory, Signal Theory and Communications, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033542967"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":11.0443,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.98141013,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"54","issue":"11","first_page":"6385","last_page":"6398"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9854000210762024,"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/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.9778000116348267,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6051844358444214},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5336490273475647},{"id":"https://openalex.org/keywords/synthetic-aperture-radar","display_name":"Synthetic aperture radar","score":0.5328719019889832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5168634057044983},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4746466279029846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37205684185028076},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3448188900947571},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3206949830055237},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.320051908493042}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6051844358444214},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5336490273475647},{"id":"https://openalex.org/C87360688","wikidata":"https://www.wikidata.org/wiki/Q740686","display_name":"Synthetic aperture radar","level":2,"score":0.5328719019889832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5168634057044983},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4746466279029846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37205684185028076},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3448188900947571},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3206949830055237},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.320051908493042},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tgrs.2016.2584144","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2016.2584144","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"},{"id":"pmh:oai:dnet:upcommonspor::cffc91df9e5ad2723377ed304d920c5d","is_oa":false,"landing_page_url":"http://hdl.handle.net/2117/97432","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/97432","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/97432","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/97432","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/97432","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320318240","display_name":"European Space Agency","ror":"https://ror.org/03wd9za21"},{"id":"https://openalex.org/F4320321602","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt","ror":"https://ror.org/04bwf3e34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W605692607","https://openalex.org/W1421632428","https://openalex.org/W1916495590","https://openalex.org/W1972485395","https://openalex.org/W1978407375","https://openalex.org/W1980869687","https://openalex.org/W1984295062","https://openalex.org/W1984614739","https://openalex.org/W1985194020","https://openalex.org/W1996176293","https://openalex.org/W2016130389","https://openalex.org/W2033903783","https://openalex.org/W2036223121","https://openalex.org/W2037095848","https://openalex.org/W2066441824","https://openalex.org/W2074319623","https://openalex.org/W2081946181","https://openalex.org/W2086623418","https://openalex.org/W2093258516","https://openalex.org/W2094842984","https://openalex.org/W2100000920","https://openalex.org/W2102332171","https://openalex.org/W2103286460","https://openalex.org/W2125015779","https://openalex.org/W2126413832","https://openalex.org/W2127193590","https://openalex.org/W2134343800","https://openalex.org/W2134984950","https://openalex.org/W2139261503","https://openalex.org/W2143353454","https://openalex.org/W2144615653","https://openalex.org/W2145882662","https://openalex.org/W2150967358","https://openalex.org/W2151983721","https://openalex.org/W2158347164","https://openalex.org/W2164296623","https://openalex.org/W2164453045","https://openalex.org/W2198439621","https://openalex.org/W2260189556","https://openalex.org/W2313039720","https://openalex.org/W2321514239","https://openalex.org/W2326392936","https://openalex.org/W2331238412","https://openalex.org/W2496260494","https://openalex.org/W2663902641","https://openalex.org/W3143341298","https://openalex.org/W4237764598","https://openalex.org/W4243583496","https://openalex.org/W4285719527","https://openalex.org/W4299490515","https://openalex.org/W6687567419","https://openalex.org/W6692528640","https://openalex.org/W6739831244"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4366700029","https://openalex.org/W3175363083","https://openalex.org/W4285230481","https://openalex.org/W4245953108","https://openalex.org/W2236763869","https://openalex.org/W2023659367","https://openalex.org/W4293568347","https://openalex.org/W2097626286","https://openalex.org/W2808230936"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,6,15,31,40,48,52,56,59,62,73,78,88,92,123,129,143],"use":[4,124],"of":[5,14,23,39,47,61,72,80,91,125],"l":[7,63,93,130],"<sub":[8,64,94,131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,65,95,132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[10,66,96,133],"-norm,":[11,97],"or":[12],"Span,":[13],"scattering":[16],"vectors":[17],"is":[18,68],"suggested":[19],"for":[20],"texture":[21,82],"analysis":[22,38],"polarimetric":[24,41],"synthetic":[25],"aperture":[26],"radar":[27],"(SAR)":[28],"data,":[29],"with":[30,107,140],"benefits":[32],"that":[33,122],"we":[34],"need":[35],"neither":[36],"an":[37],"channels":[42],"separately":[43],"nor":[44],"a":[45],"filtering":[46],"data":[49,120],"to":[50,142],"analyze":[51],"statistics.":[53],"Based":[54],"on":[55,114,128],"product":[57],"model,":[58],"distribution":[60],"-norm":[67,134],"studied.":[69],"Closed":[70],"expressions":[71],"probability":[74],"density":[75],"functions":[76],"under":[77],"assumptions":[79],"several":[81,138],"distributions":[83],"are":[84,104],"provided.":[85],"To":[86],"utilize":[87],"statistical":[89],"properties":[90],"quantities":[98],"including":[99],"normalized":[100,144],"moments":[101,146],"and":[102,110,117,147],"log-cumulants":[103],"derived,":[105],"along":[106],"corresponding":[108],"estimators":[109],"estimation":[111],"variances.":[112],"Results":[113],"both":[115],"simulated":[116],"real":[118],"SAR":[119],"show":[121],"statistics":[126],"based":[127],"brings":[135],"advantages":[136],"in":[137],"aspects":[139],"respect":[141],"intensity":[145],"matrix":[148],"variate":[149],"log-cumulants.":[150]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}