{"id":"https://openalex.org/W2910413216","doi":"https://doi.org/10.1007/s10851-018-00870-z","title":"Multiplicative Noise Removal Based on the Smooth Diffusion Equation","display_name":"Multiplicative Noise Removal Based on the Smooth Diffusion Equation","publication_year":2019,"publication_date":"2019-01-09","ids":{"openalex":"https://openalex.org/W2910413216","doi":"https://doi.org/10.1007/s10851-018-00870-z","mag":"2910413216"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-018-00870-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-018-00870-z","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"book-chapter","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/A5088711841","display_name":"Xiujie Shan","orcid":"https://orcid.org/0000-0002-9237-8072"},"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":"Xiujie Shan","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101680536","display_name":"Jiebao Sun","orcid":"https://orcid.org/0000-0003-3511-2873"},"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":"Jiebao Sun","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001168822","display_name":"Zhichang Guo","orcid":"https://orcid.org/0000-0001-8428-1396"},"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":true,"raw_author_name":"Zhichang Guo","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":"https://orcid.org/0000-0001-8428-1396","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001168822"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":6.6027,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.96802741,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"61","issue":"6","first_page":"763","last_page":"779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9904000163078308,"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/T11698","display_name":"Underwater Acoustics Research","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.7378106117248535},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.6780057549476624},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6642449498176575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6176239252090454},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5957727432250977},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5587481260299683},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.5090908408164978},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4992051124572754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49194881319999695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4904880225658417},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4839058816432953},{"id":"https://openalex.org/keywords/gradient-noise","display_name":"Gradient noise","score":0.4641866087913513},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4278918206691742},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.42196163535118103},{"id":"https://openalex.org/keywords/value-noise","display_name":"Value noise","score":0.42167580127716064},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.41834554076194763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3309991657733917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31322506070137024},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.22647425532341003},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.19656071066856384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13076013326644897}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.7378106117248535},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.6780057549476624},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6642449498176575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6176239252090454},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5957727432250977},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5587481260299683},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.5090908408164978},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4992051124572754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49194881319999695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4904880225658417},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4839058816432953},{"id":"https://openalex.org/C200378446","wikidata":"https://www.wikidata.org/wiki/Q4147391","display_name":"Gradient noise","level":5,"score":0.4641866087913513},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4278918206691742},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.42196163535118103},{"id":"https://openalex.org/C182163834","wikidata":"https://www.wikidata.org/wiki/Q2926529","display_name":"Value noise","level":5,"score":0.42167580127716064},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.41834554076194763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3309991657733917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31322506070137024},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.22647425532341003},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.19656071066856384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13076013326644897},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C187612029","wikidata":"https://www.wikidata.org/wiki/Q17083130","display_name":"Noise floor","level":4,"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/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-018-00870-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-018-00870-z","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1664889433","display_name":null,"funder_award_id":"11501149","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G181037567","display_name":null,"funder_award_id":"11301113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G732353624","display_name":"\u57fa\u4e8e\u53d8\u5206\u6cd5\u4e0e\u7eb9\u7406\u5206\u89e3\u7684SAR\u56fe\u50cf\u5206\u5272\u4e0e\u76ee\u6807\u68c0\u6d4b\u7814\u7a76","funder_award_id":"11271100","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W112727521","https://openalex.org/W183757179","https://openalex.org/W843068708","https://openalex.org/W1480546554","https://openalex.org/W1602107991","https://openalex.org/W1855169650","https://openalex.org/W1976248695","https://openalex.org/W1976747969","https://openalex.org/W1985507365","https://openalex.org/W1986938753","https://openalex.org/W1998339281","https://openalex.org/W2000594266","https://openalex.org/W2004928853","https://openalex.org/W2006786206","https://openalex.org/W2010825468","https://openalex.org/W2010954012","https://openalex.org/W2011516671","https://openalex.org/W2020111712","https://openalex.org/W2022977680","https://openalex.org/W2027051720","https://openalex.org/W2031488994","https://openalex.org/W2037981501","https://openalex.org/W2041324809","https://openalex.org/W2049909233","https://openalex.org/W2060945009","https://openalex.org/W2065267700","https://openalex.org/W2068075086","https://openalex.org/W2072685235","https://openalex.org/W2073078790","https://openalex.org/W2080878340","https://openalex.org/W2083086753","https://openalex.org/W2083962542","https://openalex.org/W2090563002","https://openalex.org/W2099626649","https://openalex.org/W2103559027","https://openalex.org/W2104763670","https://openalex.org/W2106219791","https://openalex.org/W2117294245","https://openalex.org/W2129553449","https://openalex.org/W2130094715","https://openalex.org/W2135036909","https://openalex.org/W2146052399","https://openalex.org/W2150134853","https://openalex.org/W2164822588","https://openalex.org/W2165015795","https://openalex.org/W2292304773","https://openalex.org/W2615331742","https://openalex.org/W3011612142","https://openalex.org/W3021722416","https://openalex.org/W4246019369","https://openalex.org/W4298228534","https://openalex.org/W4301034754","https://openalex.org/W6600516157","https://openalex.org/W6602268946"],"related_works":["https://openalex.org/W2056920477","https://openalex.org/W2949211747","https://openalex.org/W2085803788","https://openalex.org/W4378464573","https://openalex.org/W2391941905","https://openalex.org/W2394041740","https://openalex.org/W2299604426","https://openalex.org/W2884752167","https://openalex.org/W2541083084","https://openalex.org/W1652574860"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5}],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}
