{"id":"https://openalex.org/W1989893875","doi":"https://doi.org/10.1137/s1064827599351751","title":"Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal","display_name":"Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1989893875","doi":"https://doi.org/10.1137/s1064827599351751","mag":"1989893875"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827599351751","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599351751","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5062369970","display_name":"Antonio Marquina","orcid":"https://orcid.org/0000-0001-8767-4208"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Antonio Marquina","raw_affiliation_strings":["University of Valencia"],"affiliations":[{"raw_affiliation_string":"University of Valencia","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stanley Osher","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062369970"],"corresponding_institution_ids":["https://openalex.org/I16097986"],"apc_list":null,"apc_paid":null,"fwci":14.6389,"has_fulltext":false,"cited_by_count":279,"citation_normalized_percentile":{"value":0.99539621,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"22","issue":"2","first_page":"387","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9955000281333923,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9955000281333923,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.995199978351593,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"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/deblurring","display_name":"Deblurring","score":0.9786117076873779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7180158495903015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6311483383178711},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5984625220298767},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5380887985229492},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.49325770139694214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47251543402671814},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45953038334846497},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3934970200061798},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.27251338958740234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17636758089065552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1250956654548645}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.9786117076873779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7180158495903015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6311483383178711},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5984625220298767},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5380887985229492},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.49325770139694214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47251543402671814},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45953038334846497},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3934970200061798},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.27251338958740234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17636758089065552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1250956654548645},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827599351751","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599351751","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.4700","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.4700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.math.ucla.edu/pub/camreport/cam99-5.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W114314968","https://openalex.org/W1607633407","https://openalex.org/W1973481688","https://openalex.org/W1980884128","https://openalex.org/W1985588167","https://openalex.org/W1991113069","https://openalex.org/W1994875376","https://openalex.org/W1996199419","https://openalex.org/W2012118748","https://openalex.org/W2034976587","https://openalex.org/W2039939700","https://openalex.org/W2040623864","https://openalex.org/W2053223715","https://openalex.org/W2054662916","https://openalex.org/W2057220024","https://openalex.org/W2065164181","https://openalex.org/W2068056613","https://openalex.org/W2080202186","https://openalex.org/W2080744942","https://openalex.org/W2089134771","https://openalex.org/W2103559027","https://openalex.org/W2112548197","https://openalex.org/W2130604180","https://openalex.org/W2149846618","https://openalex.org/W2167400582","https://openalex.org/W2264885058","https://openalex.org/W4245037559"],"related_works":["https://openalex.org/W2031788393","https://openalex.org/W791927757","https://openalex.org/W2182590612","https://openalex.org/W2905397092","https://openalex.org/W3153582293","https://openalex.org/W2269775642","https://openalex.org/W3080537281","https://openalex.org/W2289746762","https://openalex.org/W2359633702","https://openalex.org/W2140617750"],"abstract_inverted_index":{"In":[0],"this":[1,115],"paper":[2],"we":[3],"formulate":[4],"a":[5],"time":[6],"dependent":[7],"model":[8,68],"to":[9,13],"approximate":[10],"the":[11,14,108],"solution":[12],"nonlinear":[15],"total":[16],"variation":[17,32],"optimization":[18],"problem":[19],"for":[20],"deblurring":[21],"and":[22,28,54,57,112,123],"noise":[23],"removal":[24],"introduced":[25],"by":[26,81],"Rudin":[27],"Osher":[29],"[":[30,59,91],"Total":[31],"based":[33,70,87],"image":[34],"restoration":[35],"with":[36],"free":[37],"local":[38],"constraints,":[39],"in":[40,100,119],"Proceedings":[41],"IEEE":[42,47],"Internat.":[43],"Conf.":[44],"Imag.":[45],"Proc.,":[46],"Press,":[48],"Piscataway,":[49],"NJ,":[50],"(1994),":[51],"pp.":[52,64,97],"31--35]":[53],"Rudin,":[55],"Osher,":[56],"Fatemi":[58],"Phys.":[60],"D,":[61],"60":[62],"(1992),":[63],"259--268],":[65],"respectively.":[66],"Our":[67],"is":[69,78],"on":[71,88],"level":[72],"set":[73],"motion":[74],"whose":[75],"steady":[76],"state":[77],"quickly":[79],"reached":[80],"means":[82],"of":[83,107,110,114],"an":[84],"explicit":[85,117],"procedure":[86,118],"Roe's":[89],"scheme":[90],"J.":[92],"Comput.":[93],"Phys.,":[94],"43":[95],"(1981),":[96],"357--372],":[98],"used":[99],"fluid":[101],"dynamics.":[102],"We":[103],"show":[104],"numerical":[105,125],"evidence":[106],"speed":[109],"resolution":[111],"stability":[113],"simple":[116],"some":[120],"representative":[121],"1D":[122],"2D":[124],"examples.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":10},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":23}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
