{"id":"https://openalex.org/W2256634236","doi":"https://doi.org/10.3390/jimaging2010007","title":"Hyperspectral Unmixing from Incomplete and Noisy Data","display_name":"Hyperspectral Unmixing from Incomplete and Noisy Data","publication_year":2016,"publication_date":"2016-02-15","ids":{"openalex":"https://openalex.org/W2256634236","doi":"https://doi.org/10.3390/jimaging2010007","mag":"2256634236"},"language":"en","primary_location":{"id":"doi:10.3390/jimaging2010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/jimaging2010007","pdf_url":"https://www.mdpi.com/2313-433X/2/1/7/pdf?version=1455532637","source":{"id":"https://openalex.org/S2736465063","display_name":"Journal of Imaging","issn_l":"2313-433X","issn":["2313-433X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2313-433X/2/1/7/pdf?version=1455532637","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009031891","display_name":"Martin Montag","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Montag","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany","Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]},{"raw_affiliation_string":"Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002985935","display_name":"Henrike Stephani","orcid":"https://orcid.org/0000-0002-9821-1636"},"institutions":[{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Henrike Stephani","raw_affiliation_strings":["Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009031891"],"corresponding_institution_ids":["https://openalex.org/I153267046","https://openalex.org/I3019415892"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1732},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1732},"fwci":0.9824,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79419036,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":"1","first_page":"7","last_page":"7"},"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9973999857902527,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.9559162855148315},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6104564070701599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.551763117313385},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5040642023086548},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.47058597207069397},{"id":"https://openalex.org/keywords/synthetic-data","display_name":"Synthetic data","score":0.41329097747802734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.348893404006958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33373963832855225}],"concepts":[{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.9559162855148315},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6104564070701599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.551763117313385},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5040642023086548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47058597207069397},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.41329097747802734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.348893404006958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33373963832855225}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/jimaging2010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/jimaging2010007","pdf_url":"https://www.mdpi.com/2313-433X/2/1/7/pdf?version=1455532637","source":{"id":"https://openalex.org/S2736465063","display_name":"Journal of Imaging","issn_l":"2313-433X","issn":["2313-433X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Imaging","raw_type":"journal-article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/246478","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/246478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"}],"best_oa_location":{"id":"doi:10.3390/jimaging2010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/jimaging2010007","pdf_url":"https://www.mdpi.com/2313-433X/2/1/7/pdf?version=1455532637","source":{"id":"https://openalex.org/S2736465063","display_name":"Journal of Imaging","issn_l":"2313-433X","issn":["2313-433X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Imaging","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5313940662","display_name":null,"funder_award_id":"05M2013","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2256634236.pdf","grobid_xml":"https://content.openalex.org/works/W2256634236.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1856374787","https://openalex.org/W1964570608","https://openalex.org/W1981467605","https://openalex.org/W2004260841","https://openalex.org/W2026749468","https://openalex.org/W2028779626","https://openalex.org/W2060384859","https://openalex.org/W2070424424","https://openalex.org/W2092663520","https://openalex.org/W2103559027","https://openalex.org/W2105577622","https://openalex.org/W2125676375","https://openalex.org/W2126219563","https://openalex.org/W2128500193","https://openalex.org/W2132628090","https://openalex.org/W2155697938","https://openalex.org/W2163886442","https://openalex.org/W2165736859","https://openalex.org/W2270352072","https://openalex.org/W2952695380","https://openalex.org/W4233873101","https://openalex.org/W4285719527","https://openalex.org/W4395020453"],"related_works":["https://openalex.org/W2072166414","https://openalex.org/W3209970181","https://openalex.org/W2060875994","https://openalex.org/W3034375524","https://openalex.org/W4230131218","https://openalex.org/W2070598848","https://openalex.org/W2044184146","https://openalex.org/W4313014865","https://openalex.org/W2019190440","https://openalex.org/W2343470940"],"abstract_inverted_index":{"In":[0],"hyperspectral":[1,12,30],"images,":[2],"once":[3],"the":[4,8,21,43,46,56,71,99],"pure":[5,47],"spectra":[6],"of":[7,45,73,83],"materials":[9],"are":[10,52],"known,":[11],"unmixing":[13,31,69],"seeks":[14],"to":[15,70],"find":[16],"their":[17],"relative":[18],"abundances":[19,51],"throughout":[20],"scene.":[22],"We":[23],"present":[24],"a":[25,38,61],"novel":[26],"variational":[27],"model":[28],"for":[29],"from":[32,103],"incomplete":[33,74],"noisy":[34],"data,":[35,75],"which":[36],"combines":[37],"spatial":[39],"regularity":[40],"prior":[41],"with":[42,60,88],"knowledge":[44],"spectra.":[48],"The":[49],"material":[50],"found":[53],"by":[54,76],"minimizing":[55],"resulting":[57],"convex":[58],"functional":[59],"primal":[62],"dual":[63],"algorithm.":[64],"This":[65],"extends":[66],"least":[67],"squares":[68],"case":[72],"using":[77],"total":[78],"variation":[79],"regularization":[80],"and":[81,90],"masking":[82],"unknown":[84],"data.":[85,105],"Numerical":[86],"tests":[87],"artificial":[89],"real-world":[91],"data":[92],"demonstrate":[93],"that":[94],"our":[95],"method":[96],"successfully":[97],"recovers":[98],"true":[100],"mixture":[101],"coefficients":[102],"heavily-corrupted":[104]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}