{"id":"https://openalex.org/W2026203301","doi":"https://doi.org/10.1109/tgrs.2013.2259177","title":"Comparison of Nonnegative Eigenvalue Decompositions With and Without Reflection Symmetry Assumptions","display_name":"Comparison of Nonnegative Eigenvalue Decompositions With and Without Reflection Symmetry Assumptions","publication_year":2013,"publication_date":"2013-07-15","ids":{"openalex":"https://openalex.org/W2026203301","doi":"https://doi.org/10.1109/tgrs.2013.2259177","mag":"2026203301"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2013.2259177","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5010203885","display_name":"Chunle Wang","orcid":"https://orcid.org/0009-0004-2612-3364"},"institutions":[],"countries":["CN"],"is_corresponding":false,"raw_author_name":"None Chunle Wang","raw_affiliation_strings":["Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041569726","display_name":"Weidong Yu","orcid":"https://orcid.org/0000-0002-7803-6084"},"institutions":[],"countries":["CN"],"is_corresponding":false,"raw_author_name":"None Weidong Yu","raw_affiliation_strings":["Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032677320","display_name":"Robert Wang","orcid":"https://orcid.org/0000-0002-9850-7015"},"institutions":[],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Robert Wang","raw_affiliation_strings":["Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015892398","display_name":"Yunkai Deng","orcid":"https://orcid.org/0000-0003-2765-2976"},"institutions":[],"countries":["CN"],"is_corresponding":false,"raw_author_name":"None Yunkai Deng","raw_affiliation_strings":["Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113932996","display_name":"Fengjun Zhao","orcid":null},"institutions":[],"countries":["CN"],"is_corresponding":false,"raw_author_name":"None Fengjun Zhao","raw_affiliation_strings":["Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Space Microwave Remote Sensing Syst., Inst. of Electron., Beijing, China","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.239,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":13,"citation_normalized_percentile":{"value":0.812655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"52","issue":"4","first_page":"2278","last_page":"2287"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":1.0,"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":1.0,"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":0.9984,"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/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.9973,"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/reflection-symmetry","display_name":"Reflection symmetry","score":0.8898928},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection","score":0.6560011},{"id":"https://openalex.org/keywords/s-matrix-theory","display_name":"S-matrix theory","score":0.49734738},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4711465}],"concepts":[{"id":"https://openalex.org/C133978748","wikidata":"https://www.wikidata.org/wiki/Q15955882","display_name":"Reflection symmetry","level":2,"score":0.8898928},{"id":"https://openalex.org/C87360688","wikidata":"https://www.wikidata.org/wiki/Q740686","display_name":"Synthetic aperture radar","level":2,"score":0.77976024},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.66440636},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.6560011},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5667336},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.5527295},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5376097},{"id":"https://openalex.org/C2776275307","wikidata":"https://www.wikidata.org/wiki/Q649466","display_name":"S-matrix theory","level":3,"score":0.49734738},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49680284},{"id":"https://openalex.org/C28493345","wikidata":"https://www.wikidata.org/wiki/Q899381","display_name":"Polarimetry","level":3,"score":0.48392445},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4711465},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4493938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4090917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31701335},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.31075445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2634728},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.24050224},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2101562},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1653491},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0935393},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2013.2259177","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W1484290300","https://openalex.org/W1488375860","https://openalex.org/W1538058927","https://openalex.org/W1579744964","https://openalex.org/W1974024703","https://openalex.org/W1974380178","https://openalex.org/W1985194020","https://openalex.org/W1986603680","https://openalex.org/W2005509492","https://openalex.org/W2044781968","https://openalex.org/W2057621897","https://openalex.org/W2067947697","https://openalex.org/W2078985447","https://openalex.org/W2115226769","https://openalex.org/W2116319373","https://openalex.org/W2116520955","https://openalex.org/W2121039887","https://openalex.org/W2126895410","https://openalex.org/W2131035246","https://openalex.org/W2133989913","https://openalex.org/W2134053010","https://openalex.org/W2139824394","https://openalex.org/W2141424348","https://openalex.org/W2142134428","https://openalex.org/W2142810222","https://openalex.org/W2148397037","https://openalex.org/W2156759776","https://openalex.org/W2164296623","https://openalex.org/W2170481611","https://openalex.org/W3036543524","https://openalex.org/W391578156","https://openalex.org/W4237764598"],"related_works":["https://openalex.org/W813633021","https://openalex.org/W4287208482","https://openalex.org/W2548342391","https://openalex.org/W2289858865","https://openalex.org/W2199513852","https://openalex.org/W2150953077","https://openalex.org/W2112519774","https://openalex.org/W2110126483","https://openalex.org/W2050564697","https://openalex.org/W2026203301"],"abstract_inverted_index":{"Nonnegative":[0],"eigenvalue":[1],"decomposition":[2,65],"(NNED),":[3],"which":[4],"insists":[5],"and":[6,70,75],"guarantees":[7],"that":[8],"each":[9],"decomposed":[10],"scattering":[11,56],"component":[12],"corresponds":[13],"to":[14,48],"a":[15],"physically":[16],"realizable":[17],"scatterer,":[18],"is":[19,31,46],"powerful":[20],"for":[21,52],"polarimetric":[22,85],"synthetic":[23],"aperture":[24],"radar":[25],"(SAR)":[26],"images":[27],"analysis.":[28],"Previous":[29],"NNED":[30,51,68],"mainly":[32],"illustrated":[33],"under":[34],"the":[35,42,50,53,61,64,78,83,89],"reflection":[36,72],"symmetric":[37],"condition.":[38],"In":[39],"this":[40],"paper,":[41],"coherency":[43],"matrix":[44],"approach":[45],"derived":[47],"implement":[49],"nonreflection":[54],"symmetry":[55,73],"case.":[57],"We":[58],"explicitly":[59],"show":[60],"diversifications":[62],"of":[63],"results":[66],"between":[67,80],"with":[69],"without":[71],"assumptions,":[74],"quantitatively":[76],"analyze":[77],"differences":[79],"them":[81],"using":[82],"E-SAR":[84],"data":[86],"acquired":[87],"over":[88],"Oberpfaffenhofen":[90],"area":[91],"in":[92],"Germany.":[93]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2026203301","counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-01-16T04:25:21.483949","created_date":"2016-06-24"}