{"id":"https://openalex.org/W2806736382","doi":"https://doi.org/10.1109/access.2018.2844163","title":"A Hybrid Model for Image Denoising Combining Modified Isotropic Diffusion Model and Modified Perona-Malik Model","display_name":"A Hybrid Model for Image Denoising Combining Modified Isotropic Diffusion Model and Modified Perona-Malik Model","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2806736382","doi":"https://doi.org/10.1109/access.2018.2844163","mag":"2806736382"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2844163","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2844163","pdf_url":null,"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":null,"license_id":null,"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://doi.org/10.1109/access.2018.2844163","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100461366","display_name":"Na Wang","orcid":"https://orcid.org/0000-0001-6968-6416"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Wang","raw_affiliation_strings":["Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China"],"raw_orcid":"https://orcid.org/0000-0001-6968-6416","affiliations":[{"raw_affiliation_string":"Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014863634","display_name":"Yu Shang","orcid":"https://orcid.org/0000-0002-2615-8944"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Shang","raw_affiliation_strings":["Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China"],"raw_orcid":"https://orcid.org/0000-0002-2615-8944","affiliations":[{"raw_affiliation_string":"Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100350437","display_name":"Yang Chen","orcid":"https://orcid.org/0000-0002-5660-6349"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Chen","raw_affiliation_strings":["LIST, Key Laboratory of Computer Network and Information Integration, Ministry of Education, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-5660-6349","affiliations":[{"raw_affiliation_string":"LIST, Key Laboratory of Computer Network and Information Integration, Ministry of Education, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101547002","display_name":"Min Yang","orcid":"https://orcid.org/0000-0001-9866-8313"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Yang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100406666","display_name":"Quan Zhang","orcid":"https://orcid.org/0000-0001-7778-4243"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quan Zhang","raw_affiliation_strings":["Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100330616","display_name":"Yi Liu","orcid":"https://orcid.org/0000-0003-1335-7626"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Liu","raw_affiliation_strings":["Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075478974","display_name":"Zhiguo Gui","orcid":"https://orcid.org/0000-0002-8991-9907"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiguo Gui","raw_affiliation_strings":["Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China"],"raw_orcid":"https://orcid.org/0000-0002-8991-9907","affiliations":[{"raw_affiliation_string":"Shanxi Provincial Key Laboratory for Biomedical Imaging and Big Data, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.5607,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.87613555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"33568","last_page":"33582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9896000027656555,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9714999794960022,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.6664524674415588},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6599372029304504},{"id":"https://openalex.org/keywords/edge-preserving-smoothing","display_name":"Edge-preserving smoothing","score":0.6519233584403992},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.637175440788269},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5095394253730774},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5036248564720154},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.49285101890563965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48180311918258667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4626641273498535},{"id":"https://openalex.org/keywords/edge-detection","display_name":"Edge detection","score":0.45794859528541565},{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.4381352663040161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42331111431121826},{"id":"https://openalex.org/keywords/hybrid-image","display_name":"Hybrid image","score":0.4152362048625946},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4123136103153229},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3766128420829773},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3474787473678589},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3352641463279724},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3042857348918915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21470233798027039},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09149432182312012}],"concepts":[{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.6664524674415588},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6599372029304504},{"id":"https://openalex.org/C141651230","wikidata":"https://www.wikidata.org/wiki/Q5337637","display_name":"Edge-preserving smoothing","level":4,"score":0.6519233584403992},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.637175440788269},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5095394253730774},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5036248564720154},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.49285101890563965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48180311918258667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4626641273498535},{"id":"https://openalex.org/C193536780","wikidata":"https://www.wikidata.org/wiki/Q1513153","display_name":"Edge detection","level":4,"score":0.45794859528541565},{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.4381352663040161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42331111431121826},{"id":"https://openalex.org/C2778328480","wikidata":"https://www.wikidata.org/wiki/Q1639904","display_name":"Hybrid image","level":3,"score":0.4152362048625946},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4123136103153229},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3766128420829773},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3474787473678589},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3352641463279724},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3042857348918915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21470233798027039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09149432182312012},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2844163","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2844163","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:00643afc47644b36b7eb91d7d213cb5e","is_oa":true,"landing_page_url":"https://doaj.org/article/00643afc47644b36b7eb91d7d213cb5e","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 6, Pp 33568-33582 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2844163","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2844163","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.550000011920929,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1003838323","display_name":null,"funder_award_id":"201601D021080","funder_id":"https://openalex.org/F4320326179","funder_display_name":"Shanxi Province Science Foundation for Youths"},{"id":"https://openalex.org/G2137713024","display_name":null,"funder_award_id":"XJJ2016019","funder_id":"https://openalex.org/F4320324776","funder_display_name":"North University of China"},{"id":"https://openalex.org/G3944764048","display_name":null,"funder_award_id":"2015011046","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G6805197294","display_name":null,"funder_award_id":"2016YFC0101602","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G871108008","display_name":"\u8fd1\u7ea2\u5916\u6f2b\u5c04\u5149\u8840\u6d41\u6210\u50cf\u7684\u5efa\u6a21\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61671413","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation 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/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null},{"id":"https://openalex.org/F4320324776","display_name":"North University of China","ror":"https://ror.org/047bp1713"},{"id":"https://openalex.org/F4320326179","display_name":"Shanxi Province Science Foundation for Youths","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W127809959","https://openalex.org/W751448332","https://openalex.org/W1099223310","https://openalex.org/W1502309256","https://openalex.org/W1606069290","https://openalex.org/W1966035864","https://openalex.org/W1966364402","https://openalex.org/W1968069998","https://openalex.org/W1974846859","https://openalex.org/W1977472541","https://openalex.org/W1985904127","https://openalex.org/W1986423700","https://openalex.org/W1994250472","https://openalex.org/W1996048318","https://openalex.org/W1997147589","https://openalex.org/W2004895663","https://openalex.org/W2006206662","https://openalex.org/W2026968593","https://openalex.org/W2027401313","https://openalex.org/W2029078578","https://openalex.org/W2029109444","https://openalex.org/W2037804396","https://openalex.org/W2038752786","https://openalex.org/W2047856763","https://openalex.org/W2056370875","https://openalex.org/W2065640043","https://openalex.org/W2092904050","https://openalex.org/W2097073572","https://openalex.org/W2102443333","https://openalex.org/W2103559027","https://openalex.org/W2107341511","https://openalex.org/W2109863423","https://openalex.org/W2112895684","https://openalex.org/W2114898750","https://openalex.org/W2122287830","https://openalex.org/W2131724888","https://openalex.org/W2133665775","https://openalex.org/W2135036909","https://openalex.org/W2138414364","https://openalex.org/W2143049902","https://openalex.org/W2146052399","https://openalex.org/W2149846618","https://openalex.org/W2150134853","https://openalex.org/W2151958211","https://openalex.org/W2153663612","https://openalex.org/W2244003928","https://openalex.org/W2258211000","https://openalex.org/W2314071961","https://openalex.org/W2324239198","https://openalex.org/W2525175200","https://openalex.org/W2529570353","https://openalex.org/W2545309880","https://openalex.org/W2554735790","https://openalex.org/W2567331605","https://openalex.org/W2589952946","https://openalex.org/W2620840351","https://openalex.org/W2746168118","https://openalex.org/W3004818403","https://openalex.org/W3011612142","https://openalex.org/W6676598158","https://openalex.org/W6729782949","https://openalex.org/W7042354276"],"related_works":["https://openalex.org/W2149857113","https://openalex.org/W2352810271","https://openalex.org/W2355942042","https://openalex.org/W2330997998","https://openalex.org/W2008174127","https://openalex.org/W2581436517","https://openalex.org/W2357860405","https://openalex.org/W2611224333","https://openalex.org/W2171261548","https://openalex.org/W2144193479"],"abstract_inverted_index":{"In":[0,64],"this":[1],"paper,":[2],"a":[3,17,54,147],"hybrid":[4,36],"image":[5,52,137],"denoising":[6],"algorithm":[7],"based":[8,58],"on":[9,59,135],"directional":[10,86],"diffusion":[11,26,41],"is":[12,70,112],"proposed.":[13],"Specifically,":[14],"we":[15],"developed":[16],"new":[18,55,74],"noise-removal":[19],"model":[20,27,37,95,145],"by":[21],"combining":[22],"the":[23,29,40,44,50,60,66,73,78,93,98,101,118,130,143,151],"modified":[24,30,79],"isotropic":[25],"and":[28,100,125,138,157],"Perona-Malik":[31,80],"(PM)":[32],"model.":[33,81],"The":[34,82,109],"novel":[35],"can":[38],"adapt":[39],"process":[42],"along":[43],"tangential":[45,90],"direction":[46,91],"of":[47,84,88],"edges":[48],"in":[49],"original":[51],"via":[53],"control":[56],"function":[57],"patch":[61,67],"similarity":[62,68],"modulus.":[63],"addition,":[65],"modulus":[69],"used":[71],"as":[72],"structure":[75],"indicator":[76],"for":[77],"feature":[83],"second-order":[85],"derivative":[87],"edge's":[89],"allows":[92],"proposed":[94,110,144],"to":[96,115],"reduce":[97],"aliasing":[99],"noise":[102],"around":[103],"edge":[104,106],"during":[105],"preserving":[107],"smoothing.":[108],"method":[111],"thus":[113],"able":[114],"efficiently":[116],"preserve":[117],"edges,":[119,124],"textures,":[120],"thin":[121],"lines,":[122],"weak":[123],"fine":[126],"details,":[127],"meanwhile":[128],"preventing":[129],"staircase":[131],"effects.":[132],"Computer":[133],"experiments":[134],"synthetic":[136],"nature":[139],"images":[140],"demonstrate":[141],"that":[142],"achieves":[146],"better":[148],"performance":[149],"than":[150],"conventional":[152],"partial":[153],"differential":[154],"equations":[155],"models":[156],"some":[158],"recent":[159],"advanced":[160],"models.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}