{"id":"https://openalex.org/W2245855345","doi":"https://doi.org/10.1109/tsp.2015.2508778","title":"A Fast Hyperplane-Based Minimum-Volume Enclosing Simplex Algorithm for Blind Hyperspectral Unmixing","display_name":"A Fast Hyperplane-Based Minimum-Volume Enclosing Simplex Algorithm for Blind Hyperspectral Unmixing","publication_year":2015,"publication_date":"2015-12-17","ids":{"openalex":"https://openalex.org/W2245855345","doi":"https://doi.org/10.1109/tsp.2015.2508778","mag":"2245855345"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2508778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2508778","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.08917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000566608","display_name":"Chia-Hsiang Lin","orcid":"https://orcid.org/0000-0002-4865-2329"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chia-Hsiang Lin","raw_affiliation_strings":["Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061813280","display_name":"Chong\u2010Yung Chi","orcid":"https://orcid.org/0000-0001-5004-7155"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chong-Yung Chi","raw_affiliation_strings":["Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101619495","display_name":"Yu-Hsiang Wang","orcid":"https://orcid.org/0000-0001-7747-4456"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yu-Hsiang Wang","raw_affiliation_strings":["Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106725197","display_name":"Tsung\u2010Han Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148979","display_name":"MediaTek (Taiwan)","ror":"https://ror.org/05g9jck81","country_code":"TW","type":"company","lineage":["https://openalex.org/I4210148979"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tsung-Han Chan","raw_affiliation_strings":["MediaTek Inc., East Dist., Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"MediaTek Inc., East Dist., Hsinchu, Taiwan","institution_ids":["https://openalex.org/I4210148979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000566608"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":null,"apc_paid":null,"fwci":7.1514,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.97111611,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"64","issue":"8","first_page":"1946","last_page":"1961"},"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":0.996999979019165,"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":0.9886000156402588,"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/simplex","display_name":"Simplex","score":0.7646684050559998},{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.7577551603317261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6947839856147766},{"id":"https://openalex.org/keywords/endmember","display_name":"Endmember","score":0.6776086091995239},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6436852216720581},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6255106925964355},{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.5461181402206421},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5365377068519592},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5222959518432617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4895406663417816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38466763496398926},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3369237780570984},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.2188185155391693},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2178754210472107},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13595658540725708},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09419575333595276}],"concepts":[{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7646684050559998},{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.7577551603317261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6947839856147766},{"id":"https://openalex.org/C58237817","wikidata":"https://www.wikidata.org/wiki/Q5376204","display_name":"Endmember","level":3,"score":0.6776086091995239},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6436852216720581},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6255106925964355},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.5461181402206421},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5365377068519592},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5222959518432617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4895406663417816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38466763496398926},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3369237780570984},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2188185155391693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2178754210472107},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13595658540725708},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09419575333595276}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2015.2508778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2508778","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1510.08917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08917","pdf_url":"https://arxiv.org/pdf/1510.08917","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.08917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08917","pdf_url":"https://arxiv.org/pdf/1510.08917","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[{"score":0.47999998927116394,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G4447985923","display_name":null,"funder_award_id":"MOST 104-2221-E-007-069- MY3","funder_id":"https://openalex.org/F4320322108","funder_display_name":"Ministry of Science and Technology"},{"id":"https://openalex.org/G851105344","display_name":null,"funder_award_id":"NSC 102-2221-E-007-035-MY2","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"}],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320322108","display_name":"Ministry of Science and Technology","ror":"https://ror.org/032e49973"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W846821018","https://openalex.org/W1571401318","https://openalex.org/W1582058549","https://openalex.org/W1603505684","https://openalex.org/W1608180792","https://openalex.org/W1964570608","https://openalex.org/W1970099214","https://openalex.org/W1976615758","https://openalex.org/W1987700241","https://openalex.org/W2005818237","https://openalex.org/W2012749606","https://openalex.org/W2026302893","https://openalex.org/W2035541108","https://openalex.org/W2037328426","https://openalex.org/W2050041778","https://openalex.org/W2060629443","https://openalex.org/W2063790512","https://openalex.org/W2069231830","https://openalex.org/W2070424424","https://openalex.org/W2078296814","https://openalex.org/W2081555128","https://openalex.org/W2086888000","https://openalex.org/W2087263574","https://openalex.org/W2092363223","https://openalex.org/W2095343758","https://openalex.org/W2098295833","https://openalex.org/W2101837437","https://openalex.org/W2105617746","https://openalex.org/W2109006918","https://openalex.org/W2109533493","https://openalex.org/W2113753426","https://openalex.org/W2114486983","https://openalex.org/W2115163184","https://openalex.org/W2118943995","https://openalex.org/W2122880092","https://openalex.org/W2122976738","https://openalex.org/W2127062304","https://openalex.org/W2134328014","https://openalex.org/W2136981272","https://openalex.org/W2137009054","https://openalex.org/W2146148434","https://openalex.org/W2156458885","https://openalex.org/W2157321686","https://openalex.org/W2163886442","https://openalex.org/W2165755981","https://openalex.org/W2169924573","https://openalex.org/W2170078675","https://openalex.org/W2185164352","https://openalex.org/W2295820431","https://openalex.org/W2296319761","https://openalex.org/W2545029332","https://openalex.org/W2798857148","https://openalex.org/W2964257934","https://openalex.org/W2998399533","https://openalex.org/W3122463936","https://openalex.org/W4233760599","https://openalex.org/W4234707536","https://openalex.org/W4246406438","https://openalex.org/W4250589301","https://openalex.org/W4256135625","https://openalex.org/W6623562790","https://openalex.org/W6634825034"],"related_works":["https://openalex.org/W2609138370","https://openalex.org/W1553242510","https://openalex.org/W2416971058","https://openalex.org/W3149883346","https://openalex.org/W2117544941","https://openalex.org/W2119886624","https://openalex.org/W2139141917","https://openalex.org/W2113095280","https://openalex.org/W2903418755","https://openalex.org/W2185826091"],"abstract_inverted_index":{"Hyperspectral":[0],"unmixing":[1],"(HU)":[2],"is":[3,139],"a":[4,99,104,119],"crucial":[5],"signal":[6],"processing":[7],"procedure":[8],"to":[9,159,191],"identify":[10],"the":[11,36,40,43,48,66,128,133,162,167],"underlying":[12],"materials":[13],"(or":[14,20],"endmembers)":[15],"and":[16,55,60,185,205],"their":[17],"corresponding":[18],"proportions":[19],"abundances)":[21],"from":[22,79,141],"an":[23,149],"observed":[24],"hyperspectral":[25],"scene.":[26],"A":[27],"well-known":[28],"blind":[29,121],"HU":[30,122],"criterion,":[31],"advocated":[32],"by":[33,97,113],"Craig":[34],"during":[35],"early":[37],"1990s,":[38],"considers":[39],"vertices":[41,109,138],"of":[42,47,68,75,107,127,136],"minimum-volume":[44],"enclosing":[45],"simplex":[46,81,94,106,135],"data":[49,145,170,187],"cloud":[50],"as":[51],"good":[52],"endmember":[53,150],"estimates,":[54],"it":[56],"has":[57],"been":[58],"empirically":[59],"theoretically":[61],"found":[62],"effective":[63],"even":[64],"in":[65,84,201],"scenario":[67],"no":[69],"pure":[70],"pixels.":[71],"However,":[72],"such":[73],"kinds":[74],"algorithms":[76,200],"may":[77],"suffer":[78],"heavy":[80],"volume":[82,95],"computations":[83],"numerical":[85,160],"optimization,":[86,161],"etc.":[87],"In":[88],"this":[89],"paper,":[90],"without":[91],"involving":[92],"any":[93],"computations,":[96,176],"exploiting":[98],"convex":[100],"geometry":[101],"fact":[102],"that":[103],"simplest":[105],"N":[108,114,129,137],"can":[110],"be":[111],"defined":[112],"associated":[115,131],"hyperplanes,":[116],"we":[117],"propose":[118],"fast":[120],"algorithm,":[123],"for":[124,153,166,178],"which":[125],"each":[126],"hyperplanes":[130],"with":[132,148],"Craig's":[134],"constructed":[140],"N-1":[142],"affinely":[143],"independent":[144],"pixels,":[146],"together":[147],"identifiability":[151],"analysis":[152],"its":[154,179,193],"performance":[155],"support.":[156],"Without":[157],"resorting":[158],"devised":[163],"algorithm":[164],"searches":[165],"N(N-1)":[168],"active":[169],"pixels":[171],"via":[172],"simple":[173],"linear":[174],"algebraic":[175],"accounting":[177],"computational":[180,203],"efficiency.":[181],"Monte":[182],"Carlo":[183],"simulations":[184],"real":[186],"experiments":[188],"are":[189],"provided":[190],"demonstrate":[192],"superior":[194],"efficacy":[195],"over":[196],"some":[197],"benchmark":[198],"Craig-criterion-based":[199],"both":[202],"efficiency":[204],"estimation":[206],"accuracy.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
