{"id":"https://openalex.org/W2288304097","doi":"https://doi.org/10.1142/s0219467816500030","title":"Anisotropic Diffusion Model Based on a New Diffusion Coefficient and Fractional Order Differential for Image Denoising","display_name":"Anisotropic Diffusion Model Based on a New Diffusion Coefficient and Fractional Order Differential for Image Denoising","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2288304097","doi":"https://doi.org/10.1142/s0219467816500030","mag":"2288304097"},"language":"en","primary_location":{"id":"doi:10.1142/s0219467816500030","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219467816500030","pdf_url":null,"source":{"id":"https://openalex.org/S60080701","display_name":"International Journal of Image and Graphics","issn_l":"0219-4678","issn":["0219-4678","1793-6756"],"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 Image and Graphics","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/A5024915129","display_name":"Jianjun Yuan","orcid":"https://orcid.org/0000-0003-1400-8866"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianjun Yuan","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Tiansheng Road 2, Beibei District, Chongqing 400715, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Tiansheng Road 2, Beibei District, Chongqing 400715, P. R. China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074266536","display_name":"Lipei Liu","orcid":"https://orcid.org/0000-0002-8248-3063"},"institutions":[{"id":"https://openalex.org/I4210110609","display_name":"Chongqing University of Arts and Sciences","ror":"https://ror.org/01rcvq140","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110609"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lipei Liu","raw_affiliation_strings":["Department of Mathematics, Chongqing University of Arts and Sciences, Yongchuan, Chongqing 402160, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chongqing University of Arts and Sciences, Yongchuan, Chongqing 402160, P. R. China","institution_ids":["https://openalex.org/I4210110609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024915129"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":0.334,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63738735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"01","first_page":"1650003","last_page":"1650003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9871000051498413,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9869999885559082,"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":0.8236981630325317},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.7260207533836365},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6098303198814392},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5168336033821106},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.4859841763973236},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.47096019983291626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.466748982667923},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42678070068359375},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.41809144616127014},{"id":"https://openalex.org/keywords/effective-diffusion-coefficient","display_name":"Effective diffusion coefficient","score":0.4174700081348419},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40310120582580566},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3896504044532776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3474279046058655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33801737427711487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2202337086200714},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13428285717964172},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1018206775188446},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05059081315994263}],"concepts":[{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.8236981630325317},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7260207533836365},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6098303198814392},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5168336033821106},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4859841763973236},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.47096019983291626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.466748982667923},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42678070068359375},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.41809144616127014},{"id":"https://openalex.org/C70816921","wikidata":"https://www.wikidata.org/wiki/Q258852","display_name":"Effective diffusion coefficient","level":3,"score":0.4174700081348419},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40310120582580566},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3896504044532776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474279046058655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33801737427711487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2202337086200714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13428285717964172},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1018206775188446},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05059081315994263},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219467816500030","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219467816500030","pdf_url":null,"source":{"id":"https://openalex.org/S60080701","display_name":"International Journal of Image and Graphics","issn_l":"0219-4678","issn":["0219-4678","1793-6756"],"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 Image and Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1553338987","https://openalex.org/W1986423700","https://openalex.org/W2020989074","https://openalex.org/W2042547537","https://openalex.org/W2043431622","https://openalex.org/W2049984505","https://openalex.org/W2053672385","https://openalex.org/W2069441534","https://openalex.org/W2072722647","https://openalex.org/W2083799719","https://openalex.org/W2087246087","https://openalex.org/W2103559027","https://openalex.org/W2109991658","https://openalex.org/W2125527601","https://openalex.org/W2133665775","https://openalex.org/W2145402794","https://openalex.org/W2150134853","https://openalex.org/W2151958211","https://openalex.org/W2963190952"],"related_works":["https://openalex.org/W2475096862","https://openalex.org/W2379232376","https://openalex.org/W2895947835","https://openalex.org/W2087258800","https://openalex.org/W2810018092","https://openalex.org/W1992788508","https://openalex.org/W2387428419","https://openalex.org/W2098237619","https://openalex.org/W2091700257","https://openalex.org/W2162583040"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"improved":[4],"anisotropic":[5],"diffusion":[6,14,29,60],"model":[7,71],"which":[8],"is":[9,44,63],"based":[10],"on":[11],"a":[12],"new":[13,28],"coefficient":[15,30,61],"and":[16,34,75],"fractional":[17,41],"order":[18,42],"differential":[19,43],"for":[20],"image":[21],"denoising.":[22],"In":[23],"the":[24,27,48,55,69],"proposed":[25,70],"model,":[26],"can":[31],"protect":[32],"edges":[33],"fine":[35,52,77],"characteristics":[36],"from":[37],"being":[38],"over-smoothed.":[39],"The":[40],"applied":[45],"to":[46],"weaken":[47],"staircasing":[49],"effect,":[50],"preserve":[51],"characteristics.":[53,78],"Additionally,":[54],"automatic":[56],"set":[57],"method":[58],"of":[59],"threshold":[62],"developed.":[64],"Comparative":[65],"experiments":[66],"show":[67],"that":[68],"succeeds":[72],"in":[73],"denoising":[74],"preserving":[76]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
