{"id":"https://openalex.org/W2062005868","doi":"https://doi.org/10.1109/tip.2013.2244223","title":"Nonseparable Shearlet Transform","display_name":"Nonseparable Shearlet Transform","publication_year":2013,"publication_date":"2013-01-30","ids":{"openalex":"https://openalex.org/W2062005868","doi":"https://doi.org/10.1109/tip.2013.2244223","mag":"2062005868","pmid":"https://pubmed.ncbi.nlm.nih.gov/23372085"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2013.2244223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2013.2244223","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5103166353","display_name":"Wang\u2010Q Lim","orcid":"https://orcid.org/0000-0002-0934-5721"},"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":"Wang-Q Lim","raw_affiliation_strings":["Institute of Mathematics, TU Berlin, Berlin 10623, Germany. lim@math.tu-berlin.de","Inst. of Math., Tech. Univ. Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, TU Berlin, Berlin 10623, Germany. lim@math.tu-berlin.de","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Inst. of Math., Tech. Univ. Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103166353"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":17.3425,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.99277547,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"22","issue":"5","first_page":"2056","last_page":"2065"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9977999925613403,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9977999925613403,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9976000189781189,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9962000250816345,"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":0.9951666593551636},{"id":"https://openalex.org/keywords/digitization","display_name":"Digitization","score":0.5971959233283997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5024948120117188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4778054356575012},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4667024612426758},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4390280544757843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4295289218425751},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4105718731880188},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3483729660511017},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33169853687286377},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.29009193181991577}],"concepts":[{"id":"https://openalex.org/C67795661","wikidata":"https://www.wikidata.org/wiki/Q17018993","display_name":"Shearlet","level":3,"score":0.9951666593551636},{"id":"https://openalex.org/C2779308522","wikidata":"https://www.wikidata.org/wiki/Q843958","display_name":"Digitization","level":2,"score":0.5971959233283997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5024948120117188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4778054356575012},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4667024612426758},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4390280544757843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4295289218425751},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4105718731880188},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3483729660511017},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33169853687286377},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.29009193181991577},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2013.2244223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2013.2244223","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:23372085","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23372085","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1952959721","https://openalex.org/W1985492840","https://openalex.org/W1999905919","https://openalex.org/W2038589876","https://openalex.org/W2069912449","https://openalex.org/W2072476274","https://openalex.org/W2073996439","https://openalex.org/W2097061348","https://openalex.org/W2106002835","https://openalex.org/W2113638462","https://openalex.org/W2115528090","https://openalex.org/W2117853853","https://openalex.org/W2117881455","https://openalex.org/W2138923206","https://openalex.org/W2163009429","https://openalex.org/W2561675875","https://openalex.org/W2911938359","https://openalex.org/W2963254280","https://openalex.org/W6668895831"],"related_works":["https://openalex.org/W2475220750","https://openalex.org/W2016759271","https://openalex.org/W2072476274","https://openalex.org/W2949924583","https://openalex.org/W2018897187","https://openalex.org/W4299617494","https://openalex.org/W1541049108","https://openalex.org/W2145495275","https://openalex.org/W2950003032","https://openalex.org/W1496339867"],"abstract_inverted_index":{"Over":[0],"the":[1,25,34,42,50,58,74,94,115,141],"past":[2],"few":[3],"years,":[4],"various":[5],"representation":[6],"systems":[7],"which":[8,92,109],"sparsely":[9,129],"approximate":[10],"functions":[11],"governed":[12],"by":[13],"anisotropic":[14,131],"features,":[15],"such":[16],"as":[17,126],"edges":[18],"in":[19,148],"images,":[20],"have":[21],"been":[22],"proposed.":[23],"Alongside":[24],"theoretical":[26],"development":[27],"of":[28,33,41,46,52,57,73,97,114,133,143],"these":[29,47],"systems,":[30],"algorithmic":[31],"realizations":[32],"associated":[35,86],"transforms":[36],"are":[37],"provided.":[38],"However,":[39],"one":[40],"most":[43],"common":[44],"shortcomings":[45],"frameworks":[48],"is":[49,103],"lack":[51],"providing":[53],"a":[54,65,70,82,88,106,111],"unified":[55],"treatment":[56],"continuum":[59,75,116],"and":[60,150],"digital":[61,66],"world,":[62],"i.e.,":[63],"allowing":[64],"theory":[67],"to":[68,128],"be":[69],"natural":[71],"digitization":[72,113],"theory.":[76],"In":[77],"this":[78],"paper,":[79],"we":[80],"introduce":[81],"new":[83,145],"shearlet":[84,90,99,146],"transform":[85,119,147],"with":[87],"nonseparable":[89],"generator,":[91],"improves":[93],"directional":[95,118],"selectivity":[96],"previous":[98],"transforms.":[100],"Our":[101],"approach":[102],"based":[104,120],"on":[105,121],"discrete":[107],"framework,":[108],"allows":[110],"faithful":[112],"domain":[117],"compactly":[122],"supported":[123],"shearlets":[124],"introduced":[125],"means":[127],"encode":[130],"singularities":[132],"multivariate":[134],"data.":[135],"We":[136],"show":[137],"numerical":[138],"experiments":[139],"demonstrating":[140],"potential":[142],"our":[144],"2D":[149],"3D":[151],"image":[152],"processing":[153],"applications.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}