{"id":"https://openalex.org/W3011234705","doi":"https://doi.org/10.1109/tgrs.2020.2976664","title":"2-D Seismic Data Reconstruction via Truncated Nuclear Norm Regularization","display_name":"2-D Seismic Data Reconstruction via Truncated Nuclear Norm Regularization","publication_year":2020,"publication_date":"2020-03-13","ids":{"openalex":"https://openalex.org/W3011234705","doi":"https://doi.org/10.1109/tgrs.2020.2976664","mag":"3011234705"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2020.2976664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2020.2976664","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"],"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/A5038573652","display_name":"Wanjuan Zhang","orcid":"https://orcid.org/0000-0002-1421-9519"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]},{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanjuan Zhang","raw_affiliation_strings":["School of Computer Science, Central China Normal University, Wuhan, China","School of Mathematics and Physics, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-1421-9519","affiliations":[{"raw_affiliation_string":"School of Computer Science, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089239586","display_name":"Lihua Fu","orcid":"https://orcid.org/0000-0002-3722-8880"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lihua Fu","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-3722-8880","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100437821","display_name":"Meng Zhang","orcid":"https://orcid.org/0000-0003-4124-002X"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhang","raw_affiliation_strings":["School of Computer Science, Central China Normal University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4124-002X","affiliations":[{"raw_affiliation_string":"School of Computer Science, Central China Normal University, Wuhan, China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103090289","display_name":"Wenting Cheng","orcid":"https://orcid.org/0000-0001-6268-2869"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenting Cheng","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9747,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91375079,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"9","first_page":"6336","last_page":"6343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.652442991733551},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6358314752578735},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5446048378944397},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5389536023139954},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.5238618850708008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5062000155448914},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4973807632923126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48138168454170227},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43714454770088196},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43132638931274414},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40531426668167114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35904455184936523},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.15923872590065002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15889796614646912},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13476219773292542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13078230619430542},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.097606360912323},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08648562431335449}],"concepts":[{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.652442991733551},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6358314752578735},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5446048378944397},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5389536023139954},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.5238618850708008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5062000155448914},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4973807632923126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48138168454170227},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43714454770088196},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43132638931274414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40531426668167114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35904455184936523},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.15923872590065002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15889796614646912},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13476219773292542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13078230619430542},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.097606360912323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08648562431335449},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2020.2976664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2020.2976664","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6117261879","display_name":null,"funder_award_id":"CCNU19TS020","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6175424004","display_name":null,"funder_award_id":"B2017597","funder_id":"https://openalex.org/F4320313620","funder_display_name":"Hubei Provincial Department of Education"}],"funders":[{"id":"https://openalex.org/F4320313620","display_name":"Hubei Provincial Department of Education","ror":"https://ror.org/05yaa9j15"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1822012234","https://openalex.org/W1860736741","https://openalex.org/W1969698720","https://openalex.org/W1972568768","https://openalex.org/W1990498189","https://openalex.org/W2021203793","https://openalex.org/W2060204507","https://openalex.org/W2075320893","https://openalex.org/W2079558799","https://openalex.org/W2103972604","https://openalex.org/W2132978155","https://openalex.org/W2133050714","https://openalex.org/W2139536096","https://openalex.org/W2141953966","https://openalex.org/W2145962650","https://openalex.org/W2148193099","https://openalex.org/W2171127359","https://openalex.org/W2189872397","https://openalex.org/W2259014849","https://openalex.org/W2318535147","https://openalex.org/W2321874743","https://openalex.org/W2338019868","https://openalex.org/W2339666411","https://openalex.org/W2462638025","https://openalex.org/W2589711447","https://openalex.org/W2593678390","https://openalex.org/W2620839831","https://openalex.org/W2785328151","https://openalex.org/W2802340267","https://openalex.org/W2890357386","https://openalex.org/W2890883963","https://openalex.org/W2891749414","https://openalex.org/W2901533864","https://openalex.org/W2922221610","https://openalex.org/W2962904925","https://openalex.org/W3102415113","https://openalex.org/W3105798281","https://openalex.org/W4254790052","https://openalex.org/W6703697878"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W4382583540","https://openalex.org/W4094001","https://openalex.org/W4298234822","https://openalex.org/W2782047334","https://openalex.org/W2163255469","https://openalex.org/W1970576574","https://openalex.org/W3017414697","https://openalex.org/W2522507432","https://openalex.org/W605362495"],"abstract_inverted_index":{"Rank-reduction":[0],"(RR)":[1],"methods":[2],"have":[3],"been":[4],"widely":[5],"applied":[6],"for":[7,141],"reconstructing":[8],"seismic":[9,142],"data.":[10],"The":[11,93],"popular":[12],"convex":[13],"relaxation":[14],"formulation":[15],"of":[16,44,56,64,72,115,166],"RR":[17,86],"is":[18,24,49,67,78,112,119,187],"nuclear":[19,95],"norm":[20,96],"minimization":[21],"(NNM),":[22],"which":[23,88,160],"capitalized":[25],"on":[26,147,171,183,192],"its":[27],"convexity.":[28],"Consequently,":[29],"global":[30],"optimization":[31],"can":[32,161],"be":[33],"effectively":[34],"achieved":[35],"with":[36],"NNM":[37,40,77],"method.":[38],"However,":[39],"minimizes":[41,101],"the":[42,54,57,62,65,70,84,90,102,113,120,127,148,164,179,193,199],"summation":[43],"all":[45],"singular":[46,74,108,194],"values":[47,109],"and":[48,117,152,174,198],"therefore":[50],"not":[51,79],"equivalent":[52],"to":[53,69,83,126,157],"minimum":[55],"rank":[58,63,128],"function;":[59],"in":[60,130],"fact,":[61],"matrix":[66,116,204],"equal":[68],"number":[71],"nonzero":[73],"values.":[75],"Thus,":[76],"a":[80,138,155],"good":[81],"approximation":[82],"original":[85],"problem,":[87],"affects":[89],"reconstruction":[91,143,180],"performance.":[92],"truncated":[94],"regularization":[97],"(TNNR)":[98],"method":[99,140],"only":[100],"smallest":[103],"min(m,":[104],"n)":[105],"-":[106],"r":[107,118],"(m,":[110],"n":[111],"size":[114],"rank),":[121],"yielding":[122],"more":[123],"accurate":[124],"approximations":[125],"function":[129],"real":[131,175],"applications.":[132],"In":[133],"this":[134],"article,":[135],"we":[136],"propose":[137],"new":[139],"via":[144],"TNNR":[145],"based":[146,182,191],"texture":[149],"patch":[150],"matrix,":[151],"further":[153],"provide":[154],"strategy":[156],"estimate":[158],"r,":[159],"efficiently":[162],"reduce":[163],"cost":[165],"computation.":[167],"Numerical":[168],"experiments":[169],"performed":[170],"both":[172],"synthetic":[173],"data":[176],"indicate":[177],"that":[178,190],"quality":[181],"our":[184],"proposed":[185],"algorithm":[186,197],"better":[188],"than":[189],"value":[195],"thresholding":[196],"low-rank":[200],"factorization":[201],"model":[202],"(low-rank":[203],"fitting).":[205]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
