{"id":"https://openalex.org/W1976615758","doi":"https://doi.org/10.1109/whispers.2009.5289072","title":"A variable splitting augmented Lagrangian approach to linear spectral unmixing","display_name":"A variable splitting augmented Lagrangian approach to linear spectral unmixing","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1976615758","doi":"https://doi.org/10.1109/whispers.2009.5289072","mag":"1976615758"},"language":"en","primary_location":{"id":"doi:10.1109/whispers.2009.5289072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/whispers.2009.5289072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 First Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0904.4635","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017508063","display_name":"Jos\u00e9 M. Bioucas\u2010Dias","orcid":"https://orcid.org/0000-0002-0166-5149"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"J.M. Bioucas-Dias","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4210120471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017508063"],"corresponding_institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4210120471"],"apc_list":null,"apc_paid":null,"fwci":32.8065,"has_fulltext":false,"cited_by_count":461,"citation_normalized_percentile":{"value":0.99976128,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T13890","display_name":"Remote Sensing and Land Use","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9933000206947327,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.6763389706611633},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6203644871711731},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6033940315246582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41983866691589355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3713790774345398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3510703146457672},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3160368800163269},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11351215839385986}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.6763389706611633},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6203644871711731},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6033940315246582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41983866691589355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3713790774345398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3510703146457672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3160368800163269},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11351215839385986}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/whispers.2009.5289072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/whispers.2009.5289072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 First Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:0904.4635","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0904.4635","pdf_url":"https://arxiv.org/pdf/0904.4635","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.315.5176","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.315.5176","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0904.4635v1.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0904.4635","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0904.4635","pdf_url":"https://arxiv.org/pdf/0904.4635","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1555549210","https://openalex.org/W1850000976","https://openalex.org/W2003752781","https://openalex.org/W2006262045","https://openalex.org/W2019249717","https://openalex.org/W2050041778","https://openalex.org/W2056598988","https://openalex.org/W2058532290","https://openalex.org/W2070424424","https://openalex.org/W2098295833","https://openalex.org/W2101837437","https://openalex.org/W2102159812","https://openalex.org/W2107222994","https://openalex.org/W2118943995","https://openalex.org/W2119886624","https://openalex.org/W2140501674","https://openalex.org/W2142058898","https://openalex.org/W2143500192","https://openalex.org/W2146148434","https://openalex.org/W2156458885","https://openalex.org/W2157321686","https://openalex.org/W6633261909","https://openalex.org/W6638973705"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2919324478","https://openalex.org/W2051487156","https://openalex.org/W2130120519","https://openalex.org/W2058578573","https://openalex.org/W2012871340","https://openalex.org/W2315802443","https://openalex.org/W2767923834","https://openalex.org/W2376104286","https://openalex.org/W2082353735"],"abstract_inverted_index":{"This":[0,40],"paper":[1],"presents":[2],"a":[3,42,82],"new":[4],"linear":[5,27],"hyperspectral":[6,26,38],"unmixing":[7,28],"method":[8],"of":[9,66,84,103,111],"the":[10,32,37,50,53,57,63,67,101,104],"minimum":[11,33],"volume":[12,34],"class,":[13],"termed":[14],"simplex":[15,35],"identification":[16],"via":[17],"split":[18],"augmented":[19,85],"Lagrangian":[20,86],"(SISAL).":[21],"Following":[22],"Craig's":[23],"seminal":[24],"ideas,":[25],"amounts":[29],"to":[30,60,62],"finding":[31],"containing":[36],"vectors.":[39],"is":[41,79,91,113],"nonconvex":[43],"optimization":[44],"problem":[45,78],"with":[46,115],"convex":[47,64],"constraints.":[48,75],"In":[49],"proposed":[51],"approach,":[52],"positivity":[54],"constraints,":[55],"forcing":[56],"spectral":[58],"vectors":[59],"belong":[61],"hull":[65],"end":[68],"member":[69],"signatures,":[70],"are":[71],"replaced":[72],"by":[73,81],"soft":[74],"The":[76,88,109],"obtained":[77],"solved":[80],"sequence":[83],"optimizations.":[87],"resulting":[89],"algorithm":[90],"very":[92],"fast":[93],"and":[94],"able":[95],"so":[96],"solve":[97],"problems":[98],"far":[99],"beyond":[100],"reach":[102],"current":[105],"state-of-the":[106],"art":[107],"algorithms.":[108],"effectiveness":[110],"SISAL":[112],"illustrated":[114],"simulated":[116],"data.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":36},{"year":2020,"cited_by_count":44},{"year":2019,"cited_by_count":39},{"year":2018,"cited_by_count":44},{"year":2017,"cited_by_count":38},{"year":2016,"cited_by_count":42},{"year":2015,"cited_by_count":33},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":29}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2020-11-23T00:00:00"}