{"id":"https://openalex.org/W2078285475","doi":"https://doi.org/10.1137/070705556","title":"Level Set Based Nonlocal Surface Restoration","display_name":"Level Set Based Nonlocal Surface Restoration","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2078285475","doi":"https://doi.org/10.1137/070705556","mag":"2078285475"},"language":"en","primary_location":{"id":"doi:10.1137/070705556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070705556","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","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/A5035683291","display_name":"Bin Dong","orcid":"https://orcid.org/0000-0003-1295-3362"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bin Dong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100370193","display_name":"Jian Ye","orcid":"https://orcid.org/0000-0002-8101-8362"},"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":"Jian Ye","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/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"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":"Stanley Osher","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/A5049834238","display_name":"Ivo D. Dinov","orcid":"https://orcid.org/0000-0003-3825-4375"},"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":"Ivo Dinov","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":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1551,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92123705,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"2","first_page":"589","last_page":"598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9990000128746033,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9990000128746033,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/regularization","display_name":"Regularization (linguistics)","score":0.8687512278556824},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.830242931842804},{"id":"https://openalex.org/keywords/imaging-phantom","display_name":"Imaging phantom","score":0.6693994402885437},{"id":"https://openalex.org/keywords/terrain","display_name":"Terrain","score":0.6080737113952637},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5772475004196167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5530619025230408},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4444538652896881},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42995285987854004},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42665237188339233},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3697143495082855},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29987388849258423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29974377155303955},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2878454327583313},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17630553245544434},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09514006972312927},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0892246663570404},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.060281455516815186}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.8687512278556824},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.830242931842804},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"score":0.6693994402885437},{"id":"https://openalex.org/C161840515","wikidata":"https://www.wikidata.org/wiki/Q186131","display_name":"Terrain","level":2,"score":0.6080737113952637},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5772475004196167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5530619025230408},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4444538652896881},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42995285987854004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42665237188339233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3697143495082855},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29987388849258423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29974377155303955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2878454327583313},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17630553245544434},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09514006972312927},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0892246663570404},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.060281455516815186},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/070705556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070705556","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.8059","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.8059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ucla.edu/~bdong/Publications/NLM Shape Denoising.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1530781020","https://openalex.org/W1673090216","https://openalex.org/W1981940178","https://openalex.org/W1990323259","https://openalex.org/W1996724333","https://openalex.org/W2000214666","https://openalex.org/W2003009438","https://openalex.org/W2010209818","https://openalex.org/W2011181254","https://openalex.org/W2017132642","https://openalex.org/W2019248995","https://openalex.org/W2024221621","https://openalex.org/W2038649727","https://openalex.org/W2060945009","https://openalex.org/W2066822731","https://openalex.org/W2080385522","https://openalex.org/W2095982525","https://openalex.org/W2099244020","https://openalex.org/W2100400186","https://openalex.org/W2101419919","https://openalex.org/W2103559027","https://openalex.org/W2110600113","https://openalex.org/W2125517557","https://openalex.org/W2126922884","https://openalex.org/W2136396015","https://openalex.org/W2150134853","https://openalex.org/W2163387104"],"related_works":["https://openalex.org/W1992962589","https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W3032871857","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W2356798868"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"extend":[4],"nonlocal":[5],"smoothing":[6],"techniques":[7],"for":[8],"image":[9],"regularization":[10],"in":[11],"[G.":[12],"Gilboa":[13],"and":[14,41,47],"S.":[15],"Osher,":[16],"Multiscale":[17],"Model.":[18],"Simul.,":[19],"6":[20],"(2007),":[21],"pp.":[22],"595\u2013630]":[23],"to":[24],"surface":[25],"regularization,":[26],"with":[27],"surfaces":[28],"represented":[29],"by":[30],"level":[31],"set":[32],"functions.":[33],"We":[34],"test":[35],"our":[36],"algorithm":[37],"on":[38],"both":[39],"phantom":[40],"observed":[42],"surfaces,":[43],"including":[44],"city":[45],"terrain":[46],"cortical":[48],"surfaces.":[49]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}