{"id":"https://openalex.org/W2139883794","doi":"https://doi.org/10.1080/00207160801966071","title":"A feature-oriented forward\u2013backward diffusion model for intensity image restoration based on level set motion","display_name":"A feature-oriented forward\u2013backward diffusion model for intensity image restoration based on level set motion","publication_year":2009,"publication_date":"2009-04-21","ids":{"openalex":"https://openalex.org/W2139883794","doi":"https://doi.org/10.1080/00207160801966071","mag":"2139883794"},"language":"en","primary_location":{"id":"doi:10.1080/00207160801966071","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160801966071","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5101148392","display_name":"Zhongdan Huan","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongdan Huan","raw_affiliation_strings":["School of Mathematical Science, Beijing Normal University , Beijing,  P.R. China","School of Mathematical Science, Beijing Normal University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Beijing Normal University , Beijing,  P.R. China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Mathematical Science, Beijing Normal University, Beijing, P. R. China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111843930","display_name":"Linghai Kong","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linghai Kong","raw_affiliation_strings":["Institute of Applied Physics and Computational Mathematics , Beijing,  P.R. China","Institute of Applied Physics and Computational Mathematics , Beijing, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics , Beijing,  P.R. China","institution_ids":["https://openalex.org/I4210145278"]},{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics , Beijing, P.R. China","institution_ids":["https://openalex.org/I4210145278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032668331","display_name":"Xi\u2010Nian Zuo","orcid":"https://orcid.org/0000-0001-9110-585X"},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinian Zuo","raw_affiliation_strings":["National Laboratory of Pattern Recognition , Institute of Automation, Chinese Academy of Science , Beijing,  P.R. China","National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Science, Beijing, P.R. China"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Pattern Recognition , Institute of Automation, Chinese Academy of Science , Beijing,  P.R. China","institution_ids":["https://openalex.org/I4210112150"]},{"raw_affiliation_string":"National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Science, Beijing, P.R. China","institution_ids":["https://openalex.org/I4210112150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111843930"],"corresponding_institution_ids":["https://openalex.org/I4210145278"],"apc_list":null,"apc_paid":null,"fwci":0.3236,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62915251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"86","issue":"12","first_page":"2072","last_page":"2094"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9968000054359436,"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":0.9968000054359436,"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":0.9954000115394592,"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"}},{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7540148496627808},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6633437871932983},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5224853157997131},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.48760977387428284},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4843229353427887},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.46655791997909546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4454536736011505},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.4214901924133301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39824163913726807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3800603449344635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3636561632156372},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2714300751686096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20161816477775574},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.18949708342552185},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18580284714698792}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7540148496627808},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6633437871932983},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5224853157997131},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.48760977387428284},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4843229353427887},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.46655791997909546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4454536736011505},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.4214901924133301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39824163913726807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3800603449344635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3636561632156372},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2714300751686096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20161816477775574},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.18949708342552185},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18580284714698792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160801966071","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160801966071","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6299999952316284}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320336475","display_name":"National Safety Academic Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W112727521","https://openalex.org/W1481909973","https://openalex.org/W1569775974","https://openalex.org/W1572455705","https://openalex.org/W1595201262","https://openalex.org/W1604679511","https://openalex.org/W1918539434","https://openalex.org/W1963743024","https://openalex.org/W1981848266","https://openalex.org/W1983047266","https://openalex.org/W1989893875","https://openalex.org/W1991113069","https://openalex.org/W2003370853","https://openalex.org/W2022735534","https://openalex.org/W2030646463","https://openalex.org/W2032316144","https://openalex.org/W2047625347","https://openalex.org/W2057220024","https://openalex.org/W2062895895","https://openalex.org/W2064632689","https://openalex.org/W2072685235","https://openalex.org/W2078349085","https://openalex.org/W2097924771","https://openalex.org/W2103559027","https://openalex.org/W2103913786","https://openalex.org/W2104404402","https://openalex.org/W2104492732","https://openalex.org/W2107341511","https://openalex.org/W2108944658","https://openalex.org/W2109863423","https://openalex.org/W2110563224","https://openalex.org/W2116609734","https://openalex.org/W2117776696","https://openalex.org/W2144133758","https://openalex.org/W2145023731","https://openalex.org/W2146052399","https://openalex.org/W2149184914","https://openalex.org/W2150134853","https://openalex.org/W2151958211","https://openalex.org/W2152838595","https://openalex.org/W2156394893","https://openalex.org/W2164822588","https://openalex.org/W2165252576","https://openalex.org/W2167400582","https://openalex.org/W2369386221","https://openalex.org/W2602753196","https://openalex.org/W3011612142","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W2149396808","https://openalex.org/W1006433933","https://openalex.org/W2149747548"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,35,46,66,82],"new":[4],"enhancing":[5,42],"and":[6,58,78,98],"smoothing":[7],"partial":[8],"differential":[9],"equation":[10,111],"coupled":[11,69],"with":[12,45,70],"time-delay":[13,71],"regularization":[14,50,72],"is":[15,18,43,62,88,112],"presented,":[16],"which":[17],"based":[19],"on":[20],"local":[21],"geometric":[22],"properties":[23],"desired":[24],"for":[25,40,116],"image":[26,33],"restoration.":[27],"To":[28],"reverse":[29],"the":[30,55,59,96,105,110],"process":[31,57,61],"of":[32,92,100,109,119],"deterioration,":[34],"newly":[36],"defined":[37],"shock":[38],"filter":[39],"edge":[41],"combined":[44],"level":[47],"set":[48],"motion-based":[49],"equation.":[51],"The":[52,85],"balance":[53],"between":[54],"backward":[56],"forward":[60],"carried":[63],"out":[64],"by":[65],"weighting":[67],"function":[68],"helping":[73],"to":[74,104,124],"identify":[75],"boundary":[76],"areas":[77],"homogeneous":[79],"regions":[80],"in":[81,90],"given":[83],"image.":[84],"proposed":[86],"model":[87],"well-posed":[89],"terms":[91],"viscosity":[93,102],"solutions":[94],"\u2013":[95],"existence":[97],"uniqueness":[99],"periodic":[101],"solution":[103],"initial":[106],"value":[107],"problem":[108],"established.":[113],"Numerical":[114],"results":[115],"some":[117],"kinds":[118],"grey-level":[120],"images":[121],"are":[122],"demonstrated":[123],"confirm":[125],"our":[126],"anticipation.":[127]},"counts_by_year":[{"year":2025,"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"}