{"id":"https://openalex.org/W4391281742","doi":"https://doi.org/10.1142/s0219691324500048","title":"Discrete linear canonical shearlet transform","display_name":"Discrete linear canonical shearlet transform","publication_year":2024,"publication_date":"2024-01-27","ids":{"openalex":"https://openalex.org/W4391281742","doi":"https://doi.org/10.1142/s0219691324500048"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691324500048","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0219691324500048","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5043592928","display_name":"Younis Ahmad Bhat","orcid":"https://orcid.org/0000-0003-4570-6907"},"institutions":[{"id":"https://openalex.org/I8778637","display_name":"National Institute of Technology Srinagar","ror":"https://ror.org/03sfwvw54","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152752","https://openalex.org/I8778637"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Younis A. Bhat","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar 190006, Jammu and Kashmir, India"],"raw_orcid":"https://orcid.org/0000-0003-4570-6907","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar 190006, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I8778637"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043000049","display_name":"Neyaz A. Sheikh","orcid":"https://orcid.org/0000-0001-7557-1404"},"institutions":[{"id":"https://openalex.org/I8778637","display_name":"National Institute of Technology Srinagar","ror":"https://ror.org/03sfwvw54","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152752","https://openalex.org/I8778637"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. A. Sheikh","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar 190006, Jammu and Kashmir, India"],"raw_orcid":"https://orcid.org/0000-0001-7557-1404","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar 190006, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I8778637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8778637"],"apc_list":null,"apc_paid":null,"fwci":1.5797,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.77049253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.998199999332428,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/lower-critical-solution-temperature","display_name":"Lower critical solution temperature","score":0.6014701128005981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5996882319450378},{"id":"https://openalex.org/keywords/shearlet","display_name":"Shearlet","score":0.5227706432342529},{"id":"https://openalex.org/keywords/parsevals-theorem","display_name":"Parseval's theorem","score":0.5155634880065918},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.4957205057144165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4029850959777832},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37988173961639404},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.333773136138916},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.31218403577804565},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26455408334732056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.264312744140625},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.19745728373527527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13050740957260132},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.10404461622238159}],"concepts":[{"id":"https://openalex.org/C188109995","wikidata":"https://www.wikidata.org/wiki/Q1645085","display_name":"Lower critical solution temperature","level":4,"score":0.6014701128005981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5996882319450378},{"id":"https://openalex.org/C67795661","wikidata":"https://www.wikidata.org/wiki/Q17018993","display_name":"Shearlet","level":3,"score":0.5227706432342529},{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.5155634880065918},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.4957205057144165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4029850959777832},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37988173961639404},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.333773136138916},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.31218403577804565},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26455408334732056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.264312744140625},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.19745728373527527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13050740957260132},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.10404461622238159},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.0},{"id":"https://openalex.org/C15920480","wikidata":"https://www.wikidata.org/wiki/Q421281","display_name":"Copolymer","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691324500048","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0219691324500048","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1481518529","https://openalex.org/W1990805796","https://openalex.org/W2020165608","https://openalex.org/W2029487796","https://openalex.org/W2033499985","https://openalex.org/W2044516693","https://openalex.org/W2073996439","https://openalex.org/W2101972378","https://openalex.org/W2110063971","https://openalex.org/W2134694367","https://openalex.org/W2162504972","https://openalex.org/W2341286225","https://openalex.org/W2567235724","https://openalex.org/W2782073131","https://openalex.org/W2986519987","https://openalex.org/W3204636293","https://openalex.org/W4285009541","https://openalex.org/W4285387080"],"related_works":["https://openalex.org/W2040779030","https://openalex.org/W2247417225","https://openalex.org/W2111947172","https://openalex.org/W2990703816","https://openalex.org/W1550984629","https://openalex.org/W2014172718","https://openalex.org/W4300834855","https://openalex.org/W2950171180","https://openalex.org/W2137155471","https://openalex.org/W2059877382"],"abstract_inverted_index":{"In":[0,59],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"the":[5,11,21,24,32,38,41,53,56,62,66,68,76,89,97,104,112,116],"continuous":[6,63],"and":[7,26,37,52,85],"discrete":[8,73,79,105,117],"version":[9,64,74,80],"of":[10,23,55,65,75,88],"linear":[12,33],"canonical":[13,34],"shearlet":[14],"transform":[15,35,90],"(LCST).":[16],"The":[17,119],"authors":[18,69],"begin":[19],"with":[20,122],"definition":[22],"LCST":[25],"then":[27],"establish":[28],"a":[29,72,100,123],"relationship":[30],"between":[31],"(LCT)":[36],"LCST.":[39,77,118],"Next,":[40],"paper":[42,98,120],"derives":[43],"several":[44],"basic":[45],"properties":[46],"like":[47],"Parseval\u2019s":[48],"Formula,":[49],"inversion":[50],"formula,":[51],"characterization":[54],"transform\u2019s":[57],"range.":[58],"addition":[60],"to":[61],"transform,":[67],"also":[70],"present":[71],"This":[78],"allows":[81],"for":[82,103,115],"practical":[83],"implementation":[84],"efficient":[86],"computation":[87],"in":[91,110],"digital":[92],"signal":[93],"processing":[94],"systems.":[95],"Lastly,":[96],"establishes":[99],"frame":[101],"condition":[102],"LCST,":[106],"which":[107],"thereby":[108],"helps":[109],"establishing":[111],"reconstruction":[113],"formula":[114],"ends":[121],"conclusion.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}