{"id":"https://openalex.org/W1507554030","doi":"https://doi.org/10.1145/2740960","title":"ShearLab 3D","display_name":"ShearLab 3D","publication_year":2016,"publication_date":"2016-01-29","ids":{"openalex":"https://openalex.org/W1507554030","doi":"https://doi.org/10.1145/2740960","mag":"1507554030"},"language":"en","primary_location":{"id":"doi:10.1145/2740960","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2740960","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1402.5670","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gitta Kutyniok","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gitta Kutyniok","raw_affiliation_strings":["Technische Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wang-Q Lim","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wang-Q Lim","raw_affiliation_strings":["Technische Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":null,"display_name":"Rafael Reisenhofer","orcid":null},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rafael Reisenhofer","raw_affiliation_strings":["Universit\u00e4t Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":10.3051,"has_fulltext":false,"cited_by_count":153,"citation_normalized_percentile":{"value":0.98833877,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"42","issue":"1","first_page":"1","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.30300000309944153,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.30300000309944153,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.10019999742507935,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.05559999868273735,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/shearlet","display_name":"Shearlet","score":0.9746999740600586},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6977999806404114},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5533000230789185},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5504999756813049},{"id":"https://openalex.org/keywords/scripting-language","display_name":"Scripting language","score":0.527400016784668},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4625000059604645},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.3971000015735626},{"id":"https://openalex.org/keywords/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.3790000081062317}],"concepts":[{"id":"https://openalex.org/C67795661","wikidata":"https://www.wikidata.org/wiki/Q17018993","display_name":"Shearlet","level":3,"score":0.9746999740600586},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6977999806404114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.677299976348877},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5533000230789185},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5504999756813049},{"id":"https://openalex.org/C61423126","wikidata":"https://www.wikidata.org/wiki/Q187432","display_name":"Scripting language","level":2,"score":0.527400016784668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4828999936580658},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4625000059604645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4580000042915344},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41620001196861267},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.36329999566078186},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3598000109195709},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.30309998989105225},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2906000018119812},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2818000018596649},{"id":"https://openalex.org/C207850805","wikidata":"https://www.wikidata.org/wiki/Q269608","display_name":"Reverse engineering","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C131720326","wikidata":"https://www.wikidata.org/wiki/Q5196075","display_name":"Curvelet","level":4,"score":0.2678000032901764},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.2572000026702881}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2740960","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2740960","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1402.5670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.5670","pdf_url":"https://arxiv.org/pdf/1402.5670","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:fraunhofer.de:N-404168","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-404168.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (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":"Fraunhofer HHI","raw_type":"article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/244787","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/244787","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":"pmh:oai:arXiv.org:1402.5670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.5670","pdf_url":"https://arxiv.org/pdf/1402.5670","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/G8965197529","display_name":null,"funder_award_id":"SPP-1324 KU 1446/13","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320323688","display_name":"Einstein Stiftung Berlin","ror":"https://ror.org/03s0fv852"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1952959721","https://openalex.org/W1965221572","https://openalex.org/W1977642227","https://openalex.org/W1985492840","https://openalex.org/W2010236565","https://openalex.org/W2015976733","https://openalex.org/W2018361157","https://openalex.org/W2030620341","https://openalex.org/W2036726483","https://openalex.org/W2040779030","https://openalex.org/W2062005868","https://openalex.org/W2066462711","https://openalex.org/W2069912449","https://openalex.org/W2072476274","https://openalex.org/W2096672847","https://openalex.org/W2097061348","https://openalex.org/W2106002835","https://openalex.org/W2107790757","https://openalex.org/W2113638462","https://openalex.org/W2115528090","https://openalex.org/W2117853853","https://openalex.org/W2117881455","https://openalex.org/W2120041316","https://openalex.org/W2138923206","https://openalex.org/W2139816106","https://openalex.org/W2154996879","https://openalex.org/W2163009429","https://openalex.org/W2170011084","https://openalex.org/W2911938359","https://openalex.org/W2962880471","https://openalex.org/W2963254280","https://openalex.org/W3005363104","https://openalex.org/W4247341659"],"related_works":[],"abstract_inverted_index":{"Wavelets":[0],"and":[1,10,34,69,89,108,136,141],"their":[2,45,113],"associated":[3,71,115],"transforms":[4],"are":[5,28,48,168],"highly":[6],"efficient":[7],"when":[8],"approximating":[9,33],"analyzing":[11,37],"one-dimensional":[12],"signals.":[13],"However,":[14],"multivariate":[15],"signals":[16],"such":[17,154],"as":[18,155],"images":[19],"or":[20,158],"videos":[21],"typically":[22],"exhibit":[23],"curvilinear":[24],"singularities,":[25],"which":[26,57],"wavelets":[27],"provably":[29],"deficient":[30],"in":[31,36,38,134],"sparsely":[32],"also":[35],"the":[39,54,106,123,145,161],"sense":[40],"of,":[41],"for":[42,99],"instance,":[43],"detecting":[44],"direction.":[46],"Shearlets":[47],"a":[49,66,79,100],"directional":[50],"representation":[51],"system":[52],"extending":[53],"wavelet":[55],"framework,":[56],"overcomes":[58],"those":[59],"deficiencies.":[60],"Similar":[61],"to":[62],"wavelets,":[63],"shearlets":[64],"allow":[65],"faithful":[67,102],"implementation":[68],"fast":[70],"transforms.":[72],"In":[73,160],"this":[74],"article,":[75],"we":[76],"will":[77,129],"introduce":[78],"comprehensive":[80],"carefully":[81],"documented":[82],"software":[83],"package":[84,95],"coined":[85],"ShearLab":[86,148],"3D":[87,109,137,149],"(www.ShearLab.org)":[88],"discuss":[90],"its":[91],"algorithmic":[92,103],"details.":[93],"This":[94],"provides":[96],"MATLAB":[97],"code":[98],"novel":[101],"realization":[104],"of":[105,125,147,163],"2D":[107,135],"shearlet":[110,120],"transform":[111],"(and":[112],"inverses)":[114],"with":[116,150],"compactly":[117],"supported":[118],"universal":[119],"systems":[121],"incorporating":[122],"option":[124],"using":[126],"CUDA.":[127],"We":[128],"present":[130],"extensive":[131],"numerical":[132],"experiments":[133],"concerning":[138],"denoising,":[139],"inpainting,":[140],"feature":[142],"extraction,":[143],"comparing":[144],"performance":[146],"similar":[151],"transform-based":[152],"algorithms":[153],"curvelets,":[156],"contourlets,":[157],"surfacelets.":[159],"spirit":[162],"reproducible":[164],"research,":[165],"all":[166],"scripts":[167],"accessible":[169],"on":[170],"www.ShearLab.org.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-06-24T00:00:00"}