{"id":"https://openalex.org/W3045515812","doi":"https://doi.org/10.1137/20m1344780","title":"Complex-Valued Imaging with Total Variation Regularization: An Application to Full-Waveform Inversion in Visco-acoustic Media","display_name":"Complex-Valued Imaging with Total Variation Regularization: An Application to Full-Waveform Inversion in Visco-acoustic Media","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3045515812","doi":"https://doi.org/10.1137/20m1344780","mag":"3045515812"},"language":"en","primary_location":{"id":"doi:10.1137/20m1344780","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344780","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.15332","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075147171","display_name":"Hossein S. Aghamiry","orcid":"https://orcid.org/0000-0003-1805-1132"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hossein S. Aghamiry","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1805-1132","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028272318","display_name":"Ali Gholami","orcid":"https://orcid.org/0000-0001-8403-1434"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ali Gholami","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079625867","display_name":"S. Operto","orcid":"https://orcid.org/0000-0002-4981-4967"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"St\u00e9phane Operto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075147171"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3044,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.75217599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"1","first_page":"58","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9375,"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"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9375,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.01759999990463257,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11757","display_name":"Seismic Waves and Analysis","score":0.016300000250339508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attenuation","display_name":"Attenuation","score":0.6301513910293579},{"id":"https://openalex.org/keywords/acoustic-wave-equation","display_name":"Acoustic wave equation","score":0.4869133234024048},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.47458553314208984},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4673483967781067},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4657835066318512},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.4629223346710205},{"id":"https://openalex.org/keywords/slowness","display_name":"Slowness","score":0.4517471492290497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4245024025440216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.422201931476593},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.4152190685272217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3855572044849396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33164507150650024},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.23657724261283875},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22305446863174438},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.19438153505325317},{"id":"https://openalex.org/keywords/acoustic-wave","display_name":"Acoustic wave","score":0.19031000137329102}],"concepts":[{"id":"https://openalex.org/C184652730","wikidata":"https://www.wikidata.org/wiki/Q2357982","display_name":"Attenuation","level":2,"score":0.6301513910293579},{"id":"https://openalex.org/C145589544","wikidata":"https://www.wikidata.org/wiki/Q4674723","display_name":"Acoustic wave equation","level":3,"score":0.4869133234024048},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.47458553314208984},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4673483967781067},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4657835066318512},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.4629223346710205},{"id":"https://openalex.org/C11940443","wikidata":"https://www.wikidata.org/wiki/Q16965645","display_name":"Slowness","level":2,"score":0.4517471492290497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4245024025440216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.422201931476593},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.4152190685272217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3855572044849396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33164507150650024},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.23657724261283875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22305446863174438},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.19438153505325317},{"id":"https://openalex.org/C204723758","wikidata":"https://www.wikidata.org/wiki/Q3882459","display_name":"Acoustic wave","level":2,"score":0.19031000137329102},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/20m1344780","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344780","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.15332","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.15332","pdf_url":"https://arxiv.org/pdf/2007.15332","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"},{"id":"pmh:oai:HAL:hal-03112082v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03112082","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2021, 14 (1), pp.58-91. ⟨10.1137/20M1344780⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.15332","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.15332","pdf_url":"https://arxiv.org/pdf/2007.15332","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":[],"awards":[{"id":"https://openalex.org/G6088417850","display_name":null,"funder_award_id":"A0050410596","funder_id":"https://openalex.org/F4320326256","funder_display_name":"Grand \u00c9quipement National De Calcul Intensif"},{"id":"https://openalex.org/G7190083631","display_name":null,"funder_award_id":"27711-1-07","funder_id":"https://openalex.org/F4320322667","funder_display_name":"University of Tehran"}],"funders":[{"id":"https://openalex.org/F4320322667","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40"},{"id":"https://openalex.org/F4320326256","display_name":"Grand \u00c9quipement National De Calcul Intensif","ror":"https://ror.org/0010d1q40"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W419135879","https://openalex.org/W1931250572","https://openalex.org/W1965970230","https://openalex.org/W1969811075","https://openalex.org/W1974164873","https://openalex.org/W1977341879","https://openalex.org/W2003017040","https://openalex.org/W2007715285","https://openalex.org/W2009552164","https://openalex.org/W2029460515","https://openalex.org/W2030161963","https://openalex.org/W2036036302","https://openalex.org/W2041883052","https://openalex.org/W2045642993","https://openalex.org/W2048742402","https://openalex.org/W2066376353","https://openalex.org/W2076716582","https://openalex.org/W2079299474","https://openalex.org/W2085728813","https://openalex.org/W2087670913","https://openalex.org/W2100245965","https://openalex.org/W2101675075","https://openalex.org/W2103559027","https://openalex.org/W2108113382","https://openalex.org/W2109535977","https://openalex.org/W2120704348","https://openalex.org/W2123031198","https://openalex.org/W2125916088","https://openalex.org/W2131273481","https://openalex.org/W2136247928","https://openalex.org/W2142058898","https://openalex.org/W2146544693","https://openalex.org/W2150240527","https://openalex.org/W2155107551","https://openalex.org/W2161747251","https://openalex.org/W2166525224","https://openalex.org/W2276487180","https://openalex.org/W2331422999","https://openalex.org/W2407256316","https://openalex.org/W2423620120","https://openalex.org/W2792318359","https://openalex.org/W2792590898","https://openalex.org/W2910066891","https://openalex.org/W2940893963","https://openalex.org/W2944935760","https://openalex.org/W2952590710","https://openalex.org/W2980759829","https://openalex.org/W2997680148","https://openalex.org/W3098092317","https://openalex.org/W3106359998","https://openalex.org/W3124556672","https://openalex.org/W4289784446","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W3103461978","https://openalex.org/W2356299150","https://openalex.org/W2144966994","https://openalex.org/W2003964906","https://openalex.org/W4378230892","https://openalex.org/W2371416779","https://openalex.org/W2368577797","https://openalex.org/W629372277","https://openalex.org/W2184977437","https://openalex.org/W2328089678"],"abstract_inverted_index":{"Full-waveform":[0],"inversion":[1,365],"(FWI)":[2],"is":[3,44,84,89,148,175,283],"a":[4,18,74,104,121,170,224,239,323,384],"nonlinear":[5,128],"PDE":[6],"constrained":[7],"optimization":[8,88,196],"problem":[9,197],"which":[10,147,174],"seeks":[11],"to":[12,28,36,65,150,169,178,227,250,299,377],"estimate":[13],"the":[14,38,48,56,87,93,98,127,139,143,160,164,179,182,195,199,211,218,229,235,243,252,260,263,280,287,291,303,330,344,347,352,360,364,367,370,378],"constitutive":[15],"parameters":[16],"of":[17,41,163,185,206,213,217,247,254,262,302,346,363,369],"medium":[19],"by":[20,51,96,202,233],"fitting":[21],"waveforms.":[22],"Among":[23],"these":[24,190],"parameters,":[25],"attenuation":[26,108,136,161,318,375,379],"needs":[27],"be":[29],"taken":[30],"into":[31],"account":[32,69],"in":[33,47,55,82,92,198,208],"viscous":[34],"media":[35],"exploit":[37],"full":[39],"potential":[40],"FWI.":[42],"Attenuation":[43],"easily":[45],"implemented":[46],"frequency":[49,106,215],"domain":[50,95,201],"using":[52,334],"complex-valued":[53],"velocities":[54,62,305],"time-harmonic":[57],"wave":[58,236],"equation.":[59],"These":[60],"complex":[61,75,140,200,219,288,304,332],"are":[63,277,297,320],"frequency-dependent":[64,76],"guarantee":[66],"causality":[67],"and":[68,107,142,274,307,311,317,349,374],"for":[70,382],"dispersion.":[71],"Since":[72],"estimating":[73],"velocity":[77,100,141,316,333,373],"at":[78,103,325],"each":[79,326],"grid":[80],"point":[81],"space":[83,232],"not":[85,157],"realistic,":[86],"generally":[90],"performed":[91],"real":[94,114,117,145,186,314],"processing":[97,203,234],"phase":[99,315,350,372],"(or":[101,109],"slowness)":[102],"reference":[105],"quality":[110],"factor)":[111],"as":[112,126,238],"separate":[113,294],"parameters.":[115,187],"This":[116],"parametrization":[118],"requires":[119],"an":[120],"priori":[122],"empirical":[123,336],"relation":[124],"(such":[125],"Kolsky--Futterman":[129],"(KF)":[130],"or":[131],"standard":[132],"linear":[133],"solid":[134],"(SLS)":[135],"models)":[137],"between":[138,181],"two":[144,183],"quantities,":[146],"prone":[149],"generate":[151],"modeling":[152],"errors":[153],"if":[154],"it":[155,167],"does":[156],"represent":[158],"accurately":[159],"behavior":[162],"medium.":[165],"Moreover,":[166,221,356],"leads":[168],"multivariate":[171],"inverse":[172],"problem,":[173],"ill-posed":[176],"due":[177],"cross-talk":[180],"classes":[184],"To":[188,258],"alleviate":[189],"issues,":[191],"we":[192,222],"solve":[193],"directly":[194,285],"narrow":[204],"bands":[205],"frequencies":[207],"sequence":[209],"under":[210],"assumption":[212],"bandwise":[214],"dependence":[216],"velocities.":[220,289],"use":[223],"relaxation":[225],"method":[226,246],"extend":[228],"FWI":[230],"search":[231],"equation":[237],"weak":[240],"constraint":[241],"with":[242],"alternating":[244],"direction":[245],"multipliers":[248],"(ADMM)":[249],"mitigate":[251,259],"risk":[253],"spurious":[255],"local":[256],"minima.":[257],"ill-posedness":[261],"inversion,":[264],"three":[265],"total":[266],"variation":[267],"(TV)":[268],"regularization":[269,282,345],"schemes":[270],"based":[271],"upon":[272],"ADMM":[273],"proximity":[275],"algorithms":[276],"presented.":[278],"In":[279,290],"first,":[281],"applied":[284],"on":[286],"other":[292],"two,":[293],"TV":[295],"regularizations":[296],"tailored":[298],"different":[300],"attributes":[301],"(real":[306],"imaginary":[308],"parts,":[309],"magnitude":[310],"phase).":[312],"The":[313,338],"factor":[319,376],"then":[321],"reconstructed":[322],"posteriori":[324,385],"spatial":[327],"position":[328],"from":[329],"estimated":[331],"arbitrary":[335],"relation.":[337],"numerical":[339],"results":[340],"first":[341],"show":[342,358],"that":[343,359],"amplitude":[348],"provides":[351],"most":[353],"reliable":[354],"results.":[355],"they":[357],"band-by-band":[361],"design":[362],"limits":[366],"sensitivity":[368],"recovered":[371],"model":[380],"used":[381],"their":[383],"extraction.":[386]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-08-03T00:00:00"}