{"id":"https://openalex.org/W3005764959","doi":"https://doi.org/10.1109/access.2020.2973192","title":"A Novel Circular Flexible Multiscale Geometric Analysis Method","display_name":"A Novel Circular Flexible Multiscale Geometric Analysis Method","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3005764959","doi":"https://doi.org/10.1109/access.2020.2973192","mag":"3005764959"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2973192","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973192","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08993783.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08993783.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080213032","display_name":"Zhengzhi Lu","orcid":"https://orcid.org/0000-0001-7392-6320"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengzhi Lu","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-7392-6320","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058570015","display_name":"Yongqing Yang","orcid":"https://orcid.org/0000-0003-2414-2719"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoan Yang","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-2414-2719","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089183792","display_name":"Junjie Yang","orcid":"https://orcid.org/0000-0002-1240-6417"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Yang","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-1240-6417","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100370091","display_name":"Yuhao Wang","orcid":"https://orcid.org/0000-0001-8400-2676"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhao Wang","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-8400-2676","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080213032"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16114216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"31295","last_page":"31305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9987999796867371,"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":0.9961000084877014,"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/translation","display_name":"Translation (biology)","score":0.5718609094619751},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5693628191947937},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5025360584259033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48668891191482544},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4635331928730011},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45943328738212585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43632131814956665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3784887194633484},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33688390254974365}],"concepts":[{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.5718609094619751},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5693628191947937},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5025360584259033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48668891191482544},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4635331928730011},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45943328738212585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43632131814956665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3784887194633484},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33688390254974365},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2973192","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973192","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08993783.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b0bd9a6da4ba4e2bb72bce4b39ec2b95","is_oa":true,"landing_page_url":"https://doaj.org/article/b0bd9a6da4ba4e2bb72bce4b39ec2b95","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 31295-31305 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2973192","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973192","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08993783.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3377867632","display_name":null,"funder_award_id":"61673314","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4457116140","display_name":null,"funder_award_id":"2018YFB1700104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6321821844","display_name":null,"funder_award_id":"61573273","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7215646736","display_name":null,"funder_award_id":"2018YFB1700104","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3005764959.pdf","grobid_xml":"https://content.openalex.org/works/W3005764959.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1979887666","https://openalex.org/W1982195338","https://openalex.org/W1995925927","https://openalex.org/W2000340289","https://openalex.org/W2019677587","https://openalex.org/W2034957081","https://openalex.org/W2043595713","https://openalex.org/W2060040417","https://openalex.org/W2060237834","https://openalex.org/W2069263872","https://openalex.org/W2097061348","https://openalex.org/W2106002835","https://openalex.org/W2109812093","https://openalex.org/W2111815479","https://openalex.org/W2114910241","https://openalex.org/W2115799737","https://openalex.org/W2117853853","https://openalex.org/W2132680427","https://openalex.org/W2135978336","https://openalex.org/W2144506334","https://openalex.org/W2170903937","https://openalex.org/W2262171180","https://openalex.org/W2293936600","https://openalex.org/W2572859442","https://openalex.org/W2608316337","https://openalex.org/W2615908833","https://openalex.org/W2784071846","https://openalex.org/W2807910487","https://openalex.org/W2940661641","https://openalex.org/W2954941265","https://openalex.org/W2963050152","https://openalex.org/W2976702876"],"related_works":["https://openalex.org/W1655720158","https://openalex.org/W2369361542","https://openalex.org/W647759170","https://openalex.org/W2366854666","https://openalex.org/W2492925340","https://openalex.org/W2595523213","https://openalex.org/W2006176066","https://openalex.org/W1499828956","https://openalex.org/W103088352","https://openalex.org/W2900275675"],"abstract_inverted_index":{"Image":[0],"representation":[1,13,48],"is":[2,15,79],"an":[3],"essential":[4],"problem":[5],"in":[6,67,135,156,180,186,205,218],"image":[7,12,219],"processing.":[8],"The":[9,194],"most":[10],"effective":[11],"method":[14,25,78,88,120,203],"multiscale":[16,96,118],"geometric":[17],"analysis":[18],"(MGA).":[19],"However,":[20],"the":[21,31,35,39,46,50,52,68,86,107,112,116,127,136,150,160,202],"current":[22],"representative":[23],"MGA":[24,77,170,225],"has":[26],"some":[27],"shortcomings,":[28],"such":[29],"as":[30],"fixed":[32,132],"division":[33,114],"of":[34,49,54,115,196],"scale":[36,182],"spectrum":[37],"and":[38,57,102,178,183,190],"direction":[40,151],"spectrum,":[41],"which":[42,98,153,172],"cannot":[43],"achieve":[44,64],"well":[45,217],"sparsest":[47],"image;":[51],"lack":[53],"rotation":[55,103],"invariance":[56,59,101,104],"translation":[58,100,174],"make":[60],"it":[61],"impossible":[62],"to":[63,81,91,106,126,148,166,222],"better":[65,187],"results":[66,195],"application.":[69],"In":[70],"this":[71,83,206],"paper,":[72],"a":[73,93,168,211],"new":[74,117,140,169],"circular":[75,94,108],"flexible":[76,95],"proposed":[80,147,204],"solve":[82],"problem.":[84],"First,":[85],"McClellan":[87],"was":[89],"used":[90],"design":[92],"decomposition,":[97],"had":[99,154],"due":[105],"spectral":[109,113],"shape.":[110],"Moreover,":[111],"decomposition":[119],"could":[121],"be":[122],"flexibly":[123],"changed":[124],"according":[125],"image,":[128],"rather":[129],"than":[130],"being":[131],"at":[133],"\u03c0/2":[134],"traditional":[137],"manner.":[138],"Second,":[139],"linear":[141],"phase":[142],"directional":[143],"filter":[144],"banks":[145],"were":[146,164],"divide":[149],"flexibly,":[152],"selectivity":[155],"any":[157],"direction.":[158],"Finally,":[159],"two":[161],"steps":[162],"above":[163],"combined":[165],"construct":[167],"method,":[171],"maintained":[173],"invariance,":[175],"low":[176],"redundancy,":[177],"flexibility":[179],"both":[181],"direction,":[184],"resulting":[185],"frequency":[188],"localization":[189],"more":[191],"sparse":[192],"representation.":[193],"our":[197],"denoising":[198,220],"experiment":[199],"show":[200],"that":[201],"paper":[207],"not":[208],"only":[209],"achieves":[210],"perfect":[212],"reconstruction,":[213],"but":[214],"also":[215],"performs":[216],"compared":[221],"other":[223],"state-of-the-art":[224],"methods.":[226]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
