{"id":"https://openalex.org/W4414394068","doi":"https://doi.org/10.1142/s0219691325500328","title":"A novel weighted fractional order variable exponent total variation model and its algorithm","display_name":"A novel weighted fractional order variable exponent total variation model and its algorithm","publication_year":2025,"publication_date":"2025-09-22","ids":{"openalex":"https://openalex.org/W4414394068","doi":"https://doi.org/10.1142/s0219691325500328"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691325500328","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691325500328","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/A5101496580","display_name":"Ting Xie","orcid":"https://orcid.org/0000-0003-0297-8320"},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting Xie","raw_affiliation_strings":["Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-0297-8320","affiliations":[{"raw_affiliation_string":"Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, P. R. China","institution_ids":["https://openalex.org/I50632499"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wei Xia","orcid":"https://orcid.org/0009-0006-4136-4291"},"institutions":[{"id":"https://openalex.org/I168337820","display_name":"Chongqing University of Science and Technology","ror":"https://ror.org/03n3v6d52","country_code":"CN","type":"education","lineage":["https://openalex.org/I168337820"]},{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Xia","raw_affiliation_strings":["School of Mathematical Science, Chongqing University of Technology, Chongqing 400054, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-4136-4291","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Chongqing University of Technology, Chongqing 400054, P. R. China","institution_ids":["https://openalex.org/I168337820","https://openalex.org/I50632499"]}]},{"author_position":"last","author":{"id":null,"display_name":"Wangzhe Zhang","orcid":"https://orcid.org/0009-0008-7240-2726"},"institutions":[{"id":"https://openalex.org/I168337820","display_name":"Chongqing University of Science and Technology","ror":"https://ror.org/03n3v6d52","country_code":"CN","type":"education","lineage":["https://openalex.org/I168337820"]},{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wangzhe Zhang","raw_affiliation_strings":["School of Mathematical Science, Chongqing University of Technology, Chongqing 400054, P. R. China"],"raw_orcid":"https://orcid.org/0009-0008-7240-2726","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Chongqing University of Technology, Chongqing 400054, P. R. China","institution_ids":["https://openalex.org/I168337820","https://openalex.org/I50632499"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24159467,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9592999815940857,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6789000034332275},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6783999800682068},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5687999725341797},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5462999939918518},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4925999939441681},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4871000051498413},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46860000491142273},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.42800000309944153},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.40709999203681946}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7443000078201294},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6789000034332275},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6783999800682068},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6148999929428101},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5687999725341797},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5462999939918518},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4925999939441681},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4871000051498413},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46860000491142273},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.42800000309944153},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4153999984264374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41350001096725464},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.40709999203681946},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3328999876976013},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C70136482","wikidata":"https://www.wikidata.org/wiki/Q13583781","display_name":"A-weighting","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.2750000059604645},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2651999890804291}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691325500328","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691325500328","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":[{"id":"https://openalex.org/G369530946","display_name":null,"funder_award_id":"CSTB2023NSCQ-MSX0319","funder_id":"https://openalex.org/F4320321550","funder_display_name":"Chongqing Science and Technology Commission"},{"id":"https://openalex.org/G4054634059","display_name":null,"funder_award_id":"CSTB2024NSCQ-LZX0093","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"}],"funders":[{"id":"https://openalex.org/F4320321550","display_name":"Chongqing Science and Technology Commission","ror":"https://ror.org/05w9erc61"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1964570608","https://openalex.org/W2010326997","https://openalex.org/W2011474167","https://openalex.org/W2018237299","https://openalex.org/W2045706051","https://openalex.org/W2048322459","https://openalex.org/W2052178414","https://openalex.org/W2056370875","https://openalex.org/W2099244020","https://openalex.org/W2103559027","https://openalex.org/W2112009428","https://openalex.org/W2122752532","https://openalex.org/W2150134853","https://openalex.org/W2151958211","https://openalex.org/W2153663612","https://openalex.org/W2155267467","https://openalex.org/W2912697496","https://openalex.org/W2972158684","https://openalex.org/W3047011367","https://openalex.org/W3157840204","https://openalex.org/W4296340300","https://openalex.org/W4319990253","https://openalex.org/W4383106898","https://openalex.org/W4385617679","https://openalex.org/W4399560827","https://openalex.org/W4407385621","https://openalex.org/W4409313527","https://openalex.org/W4410198682","https://openalex.org/W4410578102","https://openalex.org/W4413467784"],"related_works":[],"abstract_inverted_index":{"A":[0],"novel":[1],"weighted":[2],"total":[3],"variation":[4],"model":[5],"incorporating":[6],"a":[7,75],"fractional":[8],"order":[9],"variable":[10],"exponent":[11],"is":[12,40,68],"proposed,":[13],"designed":[14],"to":[15,45,50,81],"achieve":[16],"adaptive":[17,37],"smoothing":[18],"in":[19],"key":[20],"image":[21],"regions":[22],"while":[23],"effectively":[24],"preserving":[25],"edge":[26],"information.":[27],"Based":[28],"on":[29,88],"the":[30,33,64,71,94],"properties":[31],"of":[32],"log-exp":[34],"function,":[35],"an":[36],"weighting":[38],"function":[39],"introduced,":[41],"assigning":[42],"lower":[43],"weights":[44,49],"edges":[46],"and":[47,58,103],"higher":[48],"smooth":[51],"areas,":[52],"thus":[53],"enhancing":[54],"structural":[55],"detail":[56],"retention":[57],"noise":[59],"suppression.":[60],"Through":[61],"variational":[62],"analysis,":[63],"corresponding":[65],"Euler\u2013Lagrange":[66],"equation":[67],"derived,":[69],"transforming":[70],"optimization":[72],"problem":[73],"into":[74],"gradient":[76],"descent":[77],"flow":[78],"formulation":[79],"amenable":[80],"efficient":[82],"numerical":[83],"solution.":[84],"Extensive":[85],"comparative":[86],"experiments":[87],"three":[89],"benchmark":[90],"datasets":[91],"demonstrate":[92],"that":[93],"proposed":[95],"approach":[96],"yields":[97],"substantial":[98],"improvements":[99],"over":[100],"baseline":[101],"methods":[102],"achieves":[104],"performance":[105],"competitive":[106],"with":[107],"state-of-the-art":[108],"models.":[109]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
