{"id":"https://openalex.org/W4206488009","doi":"https://doi.org/10.1109/tgrs.2022.3141790","title":"Scattering Purity and Complexity in Radar Polarimetry","display_name":"Scattering Purity and Complexity in Radar Polarimetry","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4206488009","doi":"https://doi.org/10.1109/tgrs.2022.3141790"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2022.3141790","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2022.3141790","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Scattering_Purity_and_Complexity_in_Radar_Polarimetry/18515519","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057547054","display_name":"Avik Bhattacharya","orcid":"https://orcid.org/0000-0001-6720-6108"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Avik Bhattacharya","raw_affiliation_strings":["Microwave Remote Sensing Laboratory, Center of Studies in Resources Engineering, IIT Bombay, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0001-6720-6108","affiliations":[{"raw_affiliation_string":"Microwave Remote Sensing Laboratory, Center of Studies in Resources Engineering, IIT Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026103583","display_name":"Subhadip Dey","orcid":"https://orcid.org/0000-0002-4979-0192"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subhadip Dey","raw_affiliation_strings":["Microwave Remote Sensing Laboratory, Center of Studies in Resources Engineering, IIT Bombay, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0002-4979-0192","affiliations":[{"raw_affiliation_string":"Microwave Remote Sensing Laboratory, Center of Studies in Resources Engineering, IIT Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055912992","display_name":"Alejandro C. Frery","orcid":"https://orcid.org/0000-0002-8002-5341"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["CN","NZ"],"is_corresponding":false,"raw_author_name":"Alejandro C. Frery","raw_affiliation_strings":["School of Mathematics and Statistics, Victoria University of Wellington, Wellington, New Zealand","Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-8002-5341","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Victoria University of Wellington, Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.2684,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.96637562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"60","issue":null,"first_page":"1","last_page":"14"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9966999888420105,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/hermitian-matrix","display_name":"Hermitian matrix","score":0.6646955013275146},{"id":"https://openalex.org/keywords/polarimetry","display_name":"Polarimetry","score":0.6574297547340393},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.572485625743866},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5530796051025391},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.49003517627716064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48185408115386963},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.47719988226890564},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3392215371131897},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32284384965896606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27088987827301025},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23898354172706604},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17068704962730408},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13901570439338684}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6646955013275146},{"id":"https://openalex.org/C28493345","wikidata":"https://www.wikidata.org/wiki/Q899381","display_name":"Polarimetry","level":3,"score":0.6574297547340393},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.572485625743866},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5530796051025391},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.49003517627716064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48185408115386963},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.47719988226890564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3392215371131897},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32284384965896606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27088987827301025},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23898354172706604},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17068704962730408},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13901570439338684},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tgrs.2022.3141790","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2022.3141790","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:figshare.com:article/18515519","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Scattering_Purity_and_Complexity_in_Radar_Polarimetry/18515519","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.25455/wgtn.18515519","is_oa":true,"landing_page_url":"https://doi.org/10.25455/wgtn.18515519","pdf_url":null,"source":{"id":"https://openalex.org/S7407051402","display_name":"Victoria University of Wellington","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/18515519","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Scattering_Purity_and_Complexity_in_Radar_Polarimetry/18515519","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W634311682","https://openalex.org/W1484290300","https://openalex.org/W1538058927","https://openalex.org/W1623066622","https://openalex.org/W1964472831","https://openalex.org/W1969031754","https://openalex.org/W1987683484","https://openalex.org/W1990413623","https://openalex.org/W2003323862","https://openalex.org/W2031471651","https://openalex.org/W2038222372","https://openalex.org/W2043626722","https://openalex.org/W2049197221","https://openalex.org/W2051986600","https://openalex.org/W2056005514","https://openalex.org/W2059583178","https://openalex.org/W2062206520","https://openalex.org/W2073564762","https://openalex.org/W2078985447","https://openalex.org/W2083378218","https://openalex.org/W2097272115","https://openalex.org/W2113267109","https://openalex.org/W2123774638","https://openalex.org/W2124319519","https://openalex.org/W2133989913","https://openalex.org/W2136420149","https://openalex.org/W2150059023","https://openalex.org/W2154830216","https://openalex.org/W2163805313","https://openalex.org/W2170210105","https://openalex.org/W2488646725","https://openalex.org/W2505057335","https://openalex.org/W2762511780","https://openalex.org/W2791200330","https://openalex.org/W2955098767","https://openalex.org/W2998676051","https://openalex.org/W3046875372","https://openalex.org/W3048844510","https://openalex.org/W3080309540","https://openalex.org/W3101426737","https://openalex.org/W3150871672","https://openalex.org/W3162003722","https://openalex.org/W4237764598","https://openalex.org/W4241214195"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W2887325221","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W3099445031","https://openalex.org/W2184550115","https://openalex.org/W4289828965","https://openalex.org/W2391028436","https://openalex.org/W4213061425"],"abstract_inverted_index":{"The":[0,123,269],"generalized":[1],"degree":[2],"of":[3,24,37,59,64,96,108,147,174,193,229,240,248,262,272],"polarimetric":[4,78,124,140],"purity":[5,39,80,126,220],"is":[6,19,275],"a":[7,65,77,172,226],"vital":[8],"descriptor":[9],"widely":[10],"studied":[11],"and":[12,50,81,115,170,182,212,221],"interpreted":[13],"for":[14,100,265],"electromagnetic":[15],"wave":[16],"characterization.":[17,268],"It":[18],"invariant":[20],"under":[21],"the":[22,25,42,60,94,97,129,134,139,145,153,159,191,207,219,222,232,238,241,245,260,273],"rotation":[23],"reference":[26],"frame.":[27],"In":[28,137],"this":[29,38,73],"work,":[30],"we":[31,89,157,178,235],"first":[32],"propose":[33,76],"an":[34],"alternate":[35],"expression":[36,74],"measure":[40],"using":[41],"mean":[43],"<inline-formula":[44,53,109,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[45,54,110,117,279],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[46,55,111,118],"<tex-math":[47,56,112,119],"notation=\"LaTeX\">$(m)$":[48],"</tex-math></inline-formula>":[49,58,114,121],"standard":[51],"deviation":[52],"notation=\"LaTeX\">$(s)$":[57],"real":[61],"positive":[62,67,102],"eigenvalues":[63],"Hermitian":[66,101],"semidefinite":[68],"matrix.":[69],"We":[70,201,214],"then":[71],"use":[72,90],"to":[75,189],"scattering":[79,82,125,141,169],"complexity":[83,142,223],"measure.":[84],"To":[85],"obtain":[86],"these":[87,194,263],"expressions,":[88],"certain":[91],"inequalities":[92],"on":[93],"bounds":[95],"condition":[98],"number":[99],"definite":[103],"matrices":[104],"defined":[105],"in":[106,133,152,218,231],"terms":[107],"notation=\"LaTeX\">$m$":[113],"notation=\"LaTeX\">$s$":[120],".":[122],"parameter":[127,143],"characterizes":[128],"overall":[130],"polarization":[131],"structure":[132],"scattered":[135,154],"wave.":[136,155],"contrast,":[138],"describes":[144],"mixture":[146,173,228],"orthogonal":[148],"polarized":[149],"pure":[150],"components":[151],"First,":[156],"demonstrate":[158],"two":[160,165,242],"proposed":[161],"measures":[162,195,243,264],"by":[163,252],"analyzing":[164],"cases:":[166],"1)":[167],"multiple":[168],"2)":[171],"canonical":[175],"targets.":[176],"Then,":[177],"utilize":[179],"full-polarimetric":[180,254],"C-":[181],"L-band":[183],"synthetic":[184],"aperture":[185],"radar":[186],"(SAR)":[187],"data":[188],"describe":[190],"variation":[192,239],"over":[196,206,225,244],"various":[197],"land":[198],"cover":[199],"classes.":[200],"compare":[202],"their":[203],"spatial":[204],"variations":[205],"ocean":[208],"surface,":[209],"built-up":[210],"areas,":[211],"vegetation.":[213],"observe":[215],"notable":[216],"contrasts":[217],"parameters":[224],"diverse":[227],"targets":[230],"scene.":[233],"Finally,":[234],"critically":[236],"interpret":[237],"temporal":[246],"scene":[247],"rice":[249],"crop":[250],"acquired":[251],"C-band":[253],"SAR":[255],"data.":[256],"These":[257],"analyses":[258],"affirm":[259],"importance":[261],"explicit":[266],"target":[267],"open-source":[270],"version":[271],"code":[274],"available":[276],"at":[277],"<uri":[278],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">https://github.com/Subho07/scattering-purity-</uri>":[280],"and-complexity":[281]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
