{"id":"https://openalex.org/W4312607226","doi":"https://doi.org/10.1109/tcsvt.2022.3217586","title":"Efficient SAV Algorithms for Curvature Minimization Problems","display_name":"Efficient SAV Algorithms for Curvature Minimization Problems","publication_year":2022,"publication_date":"2022-11-03","ids":{"openalex":"https://openalex.org/W4312607226","doi":"https://doi.org/10.1109/tcsvt.2022.3217586"},"language":"en","primary_location":{"id":"doi:10.1109/tcsvt.2022.3217586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2022.3217586","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","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/A5018694366","display_name":"Chenxin Wang","orcid":"https://orcid.org/0000-0003-0083-7401"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Chenxin Wang","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Kowloon Tsai, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Kowloon Tsai, Hong Kong","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100744071","display_name":"Zhenwei Zhang","orcid":"https://orcid.org/0000-0003-3205-0021"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenwei Zhang","raw_affiliation_strings":["Center for Applied Mathematics, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-3205-0021","affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045483287","display_name":"Zhichang Guo","orcid":"https://orcid.org/0000-0002-6602-1061"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhichang Guo","raw_affiliation_strings":["School of Mathematics, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-6602-1061","affiliations":[{"raw_affiliation_string":"School of Mathematics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059443966","display_name":"Tieyong Zeng","orcid":"https://orcid.org/0000-0002-0688-202X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tieyong Zeng","raw_affiliation_strings":["Department of Mathematics, Center for Mathematical Artificial Intelligence, The Chinese University of Hong Kong, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0002-0688-202X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Center for Mathematical Artificial Intelligence, The Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067783344","display_name":"Yuping Duan","orcid":"https://orcid.org/0000-0003-2433-3056"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuping Duan","raw_affiliation_strings":["Center for Applied Mathematics, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-2433-3056","affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5018694366"],"corresponding_institution_ids":["https://openalex.org/I141568987"],"apc_list":null,"apc_paid":null,"fwci":1.6603,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81518212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"4","first_page":"1624","last_page":"1642"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9977999925613403,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/deblurring","display_name":"Deblurring","score":0.7221832871437073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6911249160766602},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6304494142532349},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5924582481384277},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5307992100715637},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5022296905517578},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.48981067538261414},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.4649699032306671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45573151111602783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44686996936798096},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.4121842086315155},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33403849601745605},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.3226247727870941},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.31541937589645386},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31476283073425293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0937701165676117}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.7221832871437073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6911249160766602},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6304494142532349},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5924582481384277},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5307992100715637},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5022296905517578},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.48981067538261414},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.4649699032306671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45573151111602783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44686996936798096},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.4121842086315155},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33403849601745605},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.3226247727870941},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.31541937589645386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31476283073425293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0937701165676117},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsvt.2022.3217586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2022.3217586","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.699999988079071,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G154337340","display_name":"\u56fe\u50cf\u7eb9\u7406\u7684\u5206\u6570\u9636\u6269\u6563\u65b9\u7a0b\u5efa\u6a21\u53ca\u5176\u6570\u503c\u89e3\u6cd5\u7814\u7a76","funder_award_id":"11971131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3207047859","display_name":null,"funder_award_id":"11701418","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G42876061","display_name":null,"funder_award_id":"ZD2022A001","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G4533358387","display_name":null,"funder_award_id":"NSRIF 2020081","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4878624722","display_name":null,"funder_award_id":"12171123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G553269877","display_name":null,"funder_award_id":"U21B2075","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8298663019","display_name":null,"funder_award_id":"12071345","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320316923","display_name":"Society for Industrial and Applied Mathematics","ror":"https://ror.org/052y0j663"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W35586206","https://openalex.org/W1791560514","https://openalex.org/W1912194039","https://openalex.org/W1971042117","https://openalex.org/W2034192630","https://openalex.org/W2050969603","https://openalex.org/W2056370875","https://openalex.org/W2090427126","https://openalex.org/W2094839903","https://openalex.org/W2098713549","https://openalex.org/W2103559027","https://openalex.org/W2130184048","https://openalex.org/W2211578221","https://openalex.org/W2236372174","https://openalex.org/W2295652899","https://openalex.org/W2331376995","https://openalex.org/W2379948024","https://openalex.org/W2508457857","https://openalex.org/W2526298107","https://openalex.org/W2547777900","https://openalex.org/W2766149883","https://openalex.org/W2798450085","https://openalex.org/W2918380492","https://openalex.org/W2954779526","https://openalex.org/W2962853966","https://openalex.org/W2963026800","https://openalex.org/W2963725279","https://openalex.org/W2964580220","https://openalex.org/W3011136928","https://openalex.org/W3024213355","https://openalex.org/W3034707487","https://openalex.org/W3087439622","https://openalex.org/W3088006479","https://openalex.org/W3093196859","https://openalex.org/W3108327711","https://openalex.org/W3109942740","https://openalex.org/W3116563599","https://openalex.org/W3142777946","https://openalex.org/W3185298382","https://openalex.org/W3189175238","https://openalex.org/W3202566931","https://openalex.org/W4226098466","https://openalex.org/W4226246492","https://openalex.org/W6785550577","https://openalex.org/W6788677503"],"related_works":["https://openalex.org/W2031788393","https://openalex.org/W2066613488","https://openalex.org/W791927757","https://openalex.org/W2315427282","https://openalex.org/W2182590612","https://openalex.org/W2066650801","https://openalex.org/W2489950269","https://openalex.org/W3153582293","https://openalex.org/W2269775642","https://openalex.org/W3080537281"],"abstract_inverted_index":{"The":[0,68],"curvature":[1,62,65],"regularization":[2],"method":[3],"is":[4],"well-known":[5],"for":[6,58,84],"its":[7],"good":[8],"geometric":[9],"interpretability":[10],"and":[11,34,63,78,95,104,112],"strong":[12],"priors":[13],"in":[14],"the":[15,31,110],"continuity":[16],"of":[17,114],"edges,":[18],"which":[19],"has":[20],"been":[21],"applied":[22],"to":[23,30,81,108],"various":[24],"image":[25,86,93,97,106],"processing":[26],"tasks.":[27],"However,":[28],"due":[29],"non-convex,":[32],"non-smooth,":[33],"highly":[35],"non-linear":[36],"intrinsic":[37],"limitations,":[38],"most":[39],"existing":[40],"algorithms":[41,70],"lack":[42],"a":[43],"convergence":[44],"guarantee.":[45],"This":[46],"paper":[47],"proposes":[48],"an":[49],"efficient":[50],"yet":[51],"accurate":[52],"scalar":[53],"auxiliary":[54],"variable":[55],"(SAV)":[56],"scheme":[57],"solving":[59],"both":[60,102],"mean":[61],"Gaussian":[64],"minimization":[66],"problems.":[67],"SAV-based":[69],"are":[71,99,119],"shown":[72],"unconditionally":[73],"energy":[74],"diminishing,":[75],"fast":[76],"convergent,":[77],"very":[79],"easy":[80],"be":[82],"implemented":[83],"different":[85],"applications.":[87],"Numerical":[88],"experiments":[89],"on":[90,101],"noise":[91],"removal,":[92],"deblurring,":[94],"single":[96],"super-resolution":[98],"presented":[100],"gray":[103],"color":[105],"datasets":[107],"demonstrate":[109],"robustness":[111],"efficiency":[113],"our":[115],"method.":[116],"Source":[117],"codes":[118],"made":[120],"publicly":[121],"available":[122],"at":[123],"<uri":[124],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[125],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">https://github.com/Duanlab123/SAV-curvature</uri>":[126],".":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}