{"id":"https://openalex.org/W2004115810","doi":"https://doi.org/10.1109/tip.2009.2028923","title":"Fast Parallel Approach for 2-D DHT-Based Real-Valued Discrete Gabor Transform","display_name":"Fast Parallel Approach for 2-D DHT-Based Real-Valued Discrete Gabor Transform","publication_year":2009,"publication_date":"2009-08-05","ids":{"openalex":"https://openalex.org/W2004115810","doi":"https://doi.org/10.1109/tip.2009.2028923","mag":"2004115810","pmid":"https://pubmed.ncbi.nlm.nih.gov/19651555"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2009.2028923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2028923","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/A5045622740","display_name":"Tao Liang","orcid":"https://orcid.org/0000-0003-2567-6202"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Tao","raw_affiliation_strings":["MOE Key Laboratory of Intelligent Computing and Signal Processing, School of Computer Science and Technology, Anhui University, Hefei, Anhui 230039, China. taoliang@mail.hf.ah.cn","MOE Key Lab. of Intell. Comput. & Signal Process., Anhui Univ., Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory of Intelligent Computing and Signal Processing, School of Computer Science and Technology, Anhui University, Hefei, Anhui 230039, China. taoliang@mail.hf.ah.cn","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"MOE Key Lab. of Intell. Comput. & Signal Process., Anhui Univ., Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082995815","display_name":"Hon Keung Kwan","orcid":"https://orcid.org/0000-0003-0173-1625"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hon Keung Kwan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Windsor, Windsor, ONT, Canada","Dept. of Electr. & Comput. Eng, Univ. of Windsor, Windsor, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Windsor, Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Windsor, Windsor, ON, Canada","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6165,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84670618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"12","first_page":"2790","last_page":"2796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9934999942779541,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9934999942779541,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9911999702453613,"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":0.982699990272522,"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/gabor-transform","display_name":"Gabor transform","score":0.832087516784668},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6784270405769348},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.6499755382537842},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5669482946395874},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5571004152297974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.520767867565155},{"id":"https://openalex.org/keywords/s-transform","display_name":"S transform","score":0.49142396450042725},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4392305016517639},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4284767508506775},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.38502392172813416},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36562588810920715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34409600496292114},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.30786341428756714},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2966703772544861},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.1610296070575714},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1436539888381958},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.13329720497131348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09788399934768677},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.08356377482414246},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.07353579998016357}],"concepts":[{"id":"https://openalex.org/C173149727","wikidata":"https://www.wikidata.org/wiki/Q996397","display_name":"Gabor transform","level":4,"score":0.832087516784668},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6784270405769348},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.6499755382537842},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5669482946395874},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5571004152297974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.520767867565155},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.49142396450042725},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4392305016517639},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4284767508506775},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.38502392172813416},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36562588810920715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34409600496292114},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.30786341428756714},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2966703772544861},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.1610296070575714},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1436539888381958},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.13329720497131348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09788399934768677},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.08356377482414246},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.07353579998016357},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2009.2028923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2028923","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:19651555","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19651555","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1981538609","https://openalex.org/W1998039857","https://openalex.org/W2001111136","https://openalex.org/W2006724675","https://openalex.org/W2011869890","https://openalex.org/W2021326154","https://openalex.org/W2033570251","https://openalex.org/W2050107559","https://openalex.org/W2084258815","https://openalex.org/W2100676457","https://openalex.org/W2103384342","https://openalex.org/W2124779645","https://openalex.org/W2131553077","https://openalex.org/W2137767360","https://openalex.org/W2141589678","https://openalex.org/W2146928465","https://openalex.org/W2151437980","https://openalex.org/W2152394960","https://openalex.org/W2163123974","https://openalex.org/W2215793125","https://openalex.org/W2317010359","https://openalex.org/W2326423996","https://openalex.org/W2610857016","https://openalex.org/W2973818247","https://openalex.org/W6679739796","https://openalex.org/W6682747227"],"related_works":["https://openalex.org/W2390244057","https://openalex.org/W4206389873","https://openalex.org/W1905998934","https://openalex.org/W1590865552","https://openalex.org/W2165898317","https://openalex.org/W2384007269","https://openalex.org/W2166544541","https://openalex.org/W2025656090","https://openalex.org/W2606578966","https://openalex.org/W2360182727"],"abstract_inverted_index":{"Two-dimensional":[0],"fast":[1,47],"Gabor":[2,22,37],"transform":[3,23,38,43],"algorithms":[4,31],"are":[5],"useful":[6],"for":[7,32,50,87],"real-time":[8],"applications":[9],"due":[10],"to":[11],"the":[12,17,51,54,61,72,81],"high":[13],"computational":[14,58],"complexity":[15,59],"of":[16,53,60,71],"traditional":[18],"2-D":[19,33,74],"complex-valued":[20],"discrete":[21,36],"(CDGT).":[24],"This":[25],"paper":[26],"presents":[27],"two":[28,55],"block":[29],"time-recursive":[30],"DHT-based":[34],"real-valued":[35],"(RDGT)":[39],"and":[40,44,67],"its":[41],"inverse":[42],"develops":[45],"a":[46],"parallel":[48,63,83],"approach":[49,64,84],"implementation":[52],"algorithms.":[56,76],"The":[57,77],"proposed":[62,82],"is":[65,85],"analyzed":[66],"compared":[68],"with":[69],"that":[70,80],"existing":[73],"CDGT":[75],"results":[78],"indicate":[79],"attractive":[86],"real":[88],"time":[89],"image":[90],"processing.":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}