{"id":"https://openalex.org/W2037981501","doi":"https://doi.org/10.1137/s1064827598344169","title":"High-Order Total Variation-Based Image Restoration","display_name":"High-Order Total Variation-Based Image Restoration","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2037981501","doi":"https://doi.org/10.1137/s1064827598344169","mag":"2037981501"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598344169","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598344169","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/A5003735769","display_name":"Tony F. Chan","orcid":"https://orcid.org/0000-0001-6196-2068"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tony Chan","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062369970","display_name":"Antonio Marquina","orcid":"https://orcid.org/0000-0001-8767-4208"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antonio Marquina","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034723240","display_name":"Pep Mulet","orcid":"https://orcid.org/0000-0002-7915-7726"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pep Mulet","raw_affiliation_strings":["University of California at Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003735769"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":6.0077,"has_fulltext":false,"cited_by_count":762,"citation_normalized_percentile":{"value":0.96523685,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"22","issue":"2","first_page":"503","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9945999979972839,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9921000003814697,"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":0.8188000917434692},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7445369958877563},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6895167827606201},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.6392574310302734},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.541153073310852},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5185109376907349},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4877258241176605},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4797414541244507},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47869327664375305},{"id":"https://openalex.org/keywords/total-variation-diminishing","display_name":"Total variation diminishing","score":0.44105929136276245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3328777551651001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11198937892913818}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8188000917434692},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7445369958877563},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6895167827606201},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6392574310302734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.541153073310852},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5185109376907349},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4877258241176605},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4797414541244507},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47869327664375305},{"id":"https://openalex.org/C152284280","wikidata":"https://www.wikidata.org/wiki/Q7828154","display_name":"Total variation diminishing","level":2,"score":0.44105929136276245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3328777551651001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11198937892913818},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827598344169","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598344169","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:repository.hkust.edu.hk:1783.1-48456","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-48456","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1985588167","https://openalex.org/W2012118748","https://openalex.org/W2017848200","https://openalex.org/W2018816711","https://openalex.org/W2039939700","https://openalex.org/W2080744942","https://openalex.org/W2103559027","https://openalex.org/W2167400582","https://openalex.org/W3011612142","https://openalex.org/W4212946773"],"related_works":["https://openalex.org/W3098629791","https://openalex.org/W3125305985","https://openalex.org/W2043634277","https://openalex.org/W2107099361","https://openalex.org/W2118767721","https://openalex.org/W2051018371","https://openalex.org/W2049021870","https://openalex.org/W1964531236","https://openalex.org/W837759118","https://openalex.org/W2091553596"],"abstract_inverted_index":{"The":[0],"total":[1],"variation":[2],"(TV)":[3],"denoising":[4],"method":[5],"is":[6],"a":[7,46],"PDE-based":[8],"technique":[9,62],"that":[10],"preserves":[11],"edges":[12],"well":[13],"but":[14],"has":[15],"the":[16,22,53,57,65,79,90],"sometimes":[17],"undesirable":[18],"staircase":[19,66],"effect,":[20,67],"namely,":[21],"transformation":[23],"of":[24,56,78,81,83],"smooth":[25],"regions":[26,32],"(":[27,33],"ramps)":[28],"into":[29],"piecewise":[30],"constant":[31],"stairs).":[34],"In":[35],"this":[36,84],"paper":[37],"we":[38],"present":[39],"an":[40],"improved":[41],"model,":[42],"constructed":[43],"by":[44],"adding":[45],"nonlinear":[47],"fourth":[48],"order":[49],"diffusive":[50],"term":[51],"to":[52,89],"Euler--Lagrange":[54],"equations":[55],"variational":[58],"TV":[59,91],"model.":[60],"Our":[61],"substantially":[63],"reduces":[64],"while":[68],"preserving":[69],"sharp":[70],"jump":[71],"discontinuities":[72],"(edges).":[73],"We":[74],"show":[75],"numerical":[76,98],"evidence":[77],"power":[80],"resolution":[82],"novel":[85],"model":[86,92],"with":[87],"respect":[88],"in":[93],"some":[94],"1D":[95],"and":[96],"2D":[97],"examples.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":47},{"year":2021,"cited_by_count":54},{"year":2020,"cited_by_count":40},{"year":2019,"cited_by_count":57},{"year":2018,"cited_by_count":44},{"year":2017,"cited_by_count":49},{"year":2016,"cited_by_count":46},{"year":2015,"cited_by_count":54},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":45},{"year":2012,"cited_by_count":40}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}