{"id":"https://openalex.org/W2117881455","doi":"https://doi.org/10.1109/tip.2010.2041410","title":"The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames","display_name":"The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames","publication_year":2010,"publication_date":"2010-01-29","ids":{"openalex":"https://openalex.org/W2117881455","doi":"https://doi.org/10.1109/tip.2010.2041410","mag":"2117881455","pmid":"https://pubmed.ncbi.nlm.nih.gov/20106737"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2010.2041410","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2010.2041410","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/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Wang-Q Lim","raw_affiliation_strings":["Institue of Mathematics, University of Osnabrueck, Osnabrueck, 49080 Germany. wlim@mathematik.uni-osnabrueck.de","Inst. of Math., Univ. of Osnabrueck, Osnabruck, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institue of Mathematics, University of Osnabrueck, Osnabrueck, 49080 Germany. wlim@mathematik.uni-osnabrueck.de","institution_ids":["https://openalex.org/I170658231"]},{"raw_affiliation_string":"Inst. of Math., Univ. of Osnabrueck, Osnabruck, Germany","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103166353"],"corresponding_institution_ids":["https://openalex.org/I170658231"],"apc_list":null,"apc_paid":null,"fwci":19.6769,"has_fulltext":false,"cited_by_count":426,"citation_normalized_percentile":{"value":0.99553888,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"19","issue":"5","first_page":"1166","last_page":"1180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9987000226974487,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9937999844551086,"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":0.9456636309623718},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.576664924621582},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5585066676139832},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5130511522293091},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5095067620277405},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5067933201789856},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.49548423290252686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.487557590007782},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.4797419309616089},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4692544639110565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4582826495170593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44762274622917175},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44564592838287354},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.36840105056762695}],"concepts":[{"id":"https://openalex.org/C67795661","wikidata":"https://www.wikidata.org/wiki/Q17018993","display_name":"Shearlet","level":3,"score":0.9456636309623718},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.576664924621582},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5585066676139832},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5130511522293091},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5095067620277405},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5067933201789856},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.49548423290252686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.487557590007782},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.4797419309616089},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4692544639110565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4582826495170593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44762274622917175},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44564592838287354},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.36840105056762695},{"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},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2010.2041410","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2010.2041410","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:20106737","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20106737","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":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W59771946","https://openalex.org/W1663998522","https://openalex.org/W1986067162","https://openalex.org/W2018332268","https://openalex.org/W2069912449","https://openalex.org/W2072476274","https://openalex.org/W2073996439","https://openalex.org/W2081014272","https://openalex.org/W2096613063","https://openalex.org/W2098914003","https://openalex.org/W2106002835","https://openalex.org/W2115755118","https://openalex.org/W2117853853","https://openalex.org/W2127788404","https://openalex.org/W2137155471","https://openalex.org/W2138923206","https://openalex.org/W2145263492","https://openalex.org/W2151693816","https://openalex.org/W2154507364","https://openalex.org/W2169244200","https://openalex.org/W2951629847","https://openalex.org/W3005363104","https://openalex.org/W3146519432","https://openalex.org/W6637100260"],"related_works":["https://openalex.org/W2085792030","https://openalex.org/W1977642227","https://openalex.org/W1588899229","https://openalex.org/W2172291505","https://openalex.org/W2023142747","https://openalex.org/W4303380","https://openalex.org/W2962880471","https://openalex.org/W2063036707","https://openalex.org/W2037009764","https://openalex.org/W2501033992"],"abstract_inverted_index":{"It":[0],"is":[1,15,60,107],"now":[2],"widely":[3],"acknowledged":[4],"that":[5,54],"analyzing":[6],"the":[7,12,41,55,58,63,74,77,92,95,101,110,116,125],"intrinsic":[8],"geometrical":[9],"features":[10],"of":[11,57,76,104],"underlying":[13],"image":[14,21,30,80,86,114],"essential":[16],"in":[17,62,79,113,124],"many":[18],"applications":[19],"including":[20],"processing.":[22],"In":[23,36,85],"order":[24],"to":[25,109],"achieve":[26],"this,":[27],"several":[28],"directional":[29,50],"representation":[31,51],"schemes":[32],"have":[33],"been":[34],"proposed.":[35],"this":[37],"paper,":[38],"we":[39],"develop":[40],"discrete":[42,64,96],"shearlet":[43],"transform":[44,59,98],"(DST)":[45],"which":[46],"provides":[47],"efficient":[48],"multiscale":[49],"and":[52,82],"show":[53],"implementation":[56],"built":[61],"framework":[65],"based":[66],"on":[67],"a":[68],"multiresolution":[69],"analysis":[70],"(MRA).":[71],"We":[72],"assess":[73],"performance":[75],"DST":[78,93,117],"denoising":[81],"approximation":[83,89],"applications.":[84],"approximations,":[87],"our":[88,105],"scheme":[90,106],"using":[91],"outperforms":[94],"wavelet":[97],"(DWT)":[99],"while":[100],"computational":[102],"cost":[103],"comparable":[108],"DWT.":[111],"Also,":[112],"denoising,":[115],"compares":[118],"favorably":[119],"with":[120],"other":[121],"existing":[122],"transforms":[123],"literature.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":45},{"year":2018,"cited_by_count":48},{"year":2017,"cited_by_count":47},{"year":2016,"cited_by_count":38},{"year":2015,"cited_by_count":46},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":18},{"year":2012,"cited_by_count":24}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}