{"id":"https://openalex.org/W1996724333","doi":"https://doi.org/10.1137/080736612","title":"Analogue of the Total Variation Denoising Model in the Context of Geometry Processing","display_name":"Analogue of the Total Variation Denoising Model in the Context of Geometry Processing","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1996724333","doi":"https://doi.org/10.1137/080736612","mag":"1996724333"},"language":"en","primary_location":{"id":"doi:10.1137/080736612","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080736612","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 &amp; 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/A5012610563","display_name":"Matthew Elsey","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Elsey","raw_affiliation_strings":["(University of Michigan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097061952","display_name":"Selim Esedolu","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Selim Esedolu","raw_affiliation_strings":["(University of Michigan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6133,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.93346029,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":"4","first_page":"1549","last_page":"1573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983999729156494,"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":0.9983999729156494,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6870188117027283},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.6674766540527344},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.6431299448013306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5990350842475891},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5742852091789246},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.5688995718955994},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5603052973747253},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5152664184570312},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.5061454176902771},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4182828664779663},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.3141099214553833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3138406276702881},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2942429184913635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2818986177444458},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2726071774959564},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.2596941590309143}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6870188117027283},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.6674766540527344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6431299448013306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5990350842475891},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5742852091789246},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.5688995718955994},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5603052973747253},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5152664184570312},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.5061454176902771},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4182828664779663},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.3141099214553833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3138406276702881},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2942429184913635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2818986177444458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2726071774959564},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.2596941590309143},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080736612","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080736612","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 &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.169.5135","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.169.5135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.lsa.umich.edu/%7Eesedoglu/Papers_Preprints/elsey_esedoglu.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W18837666","https://openalex.org/W117814827","https://openalex.org/W1493584658","https://openalex.org/W1530781020","https://openalex.org/W1548333856","https://openalex.org/W1565212980","https://openalex.org/W1569587969","https://openalex.org/W1596118678","https://openalex.org/W1626653188","https://openalex.org/W1963799857","https://openalex.org/W1976584051","https://openalex.org/W1984713107","https://openalex.org/W1985588167","https://openalex.org/W1990323259","https://openalex.org/W1991113069","https://openalex.org/W1992367773","https://openalex.org/W2000214666","https://openalex.org/W2005089986","https://openalex.org/W2017128277","https://openalex.org/W2039939700","https://openalex.org/W2041170998","https://openalex.org/W2052099027","https://openalex.org/W2054328864","https://openalex.org/W2066822731","https://openalex.org/W2078148932","https://openalex.org/W2079017595","https://openalex.org/W2081160575","https://openalex.org/W2084311783","https://openalex.org/W2099085357","https://openalex.org/W2100400186","https://openalex.org/W2103559027","https://openalex.org/W2104095591","https://openalex.org/W2110600113","https://openalex.org/W2112325291","https://openalex.org/W2114487471","https://openalex.org/W2122890444","https://openalex.org/W2122978905","https://openalex.org/W2131831293","https://openalex.org/W2132363464","https://openalex.org/W2140865211","https://openalex.org/W2145932638","https://openalex.org/W2148952796","https://openalex.org/W2150134853","https://openalex.org/W2162463235","https://openalex.org/W2295936755","https://openalex.org/W3011612142"],"related_works":["https://openalex.org/W2588406281","https://openalex.org/W2495078643","https://openalex.org/W2344001031","https://openalex.org/W3010678772","https://openalex.org/W3209466624","https://openalex.org/W1605636162","https://openalex.org/W2053223715","https://openalex.org/W2612397051","https://openalex.org/W1490451209","https://openalex.org/W2586189899"],"abstract_inverted_index":{"We":[0,145],"propose":[1],"a":[2,60,91],"new":[3],"variational":[4],"model":[5,27,68,138,152],"for":[6],"surface":[7,67,97,155],"processing.":[8,78],"It":[9],"is":[10,84],"the":[11,15,21,57,65,80,131,136,140,148,151],"natural":[12],"analogue,":[13],"in":[14,44,118,129,139],"context":[16],"of":[17,20,28,59,76,93,113,135,142,150],"geometry":[18,82],"processing,":[19],"total":[22],"variation":[23],"based":[24,72],"image":[25,63,77],"denoising":[26],"Rudin,":[29],"Osher,":[30],"and":[31,47,54],"Fatemi.":[32],"In":[33],"particular,":[34],"it":[35,86],"admits":[36],"as":[37,96],"solutions":[38],"surfaces":[39],"that":[40],"may":[41],"have":[42],"discontinuties":[43],"their":[45],"normals,":[46],"can":[48,87],"reconstruct":[49],"shapes":[50],"with":[51,153],"sharp":[52],"ridges":[53],"corners.":[55],"As":[56],"analogue":[58],"perfectly":[61],"well-posed":[62],"model,":[64],"proposed":[66,81,137],"differs":[69],"from":[70,102],"those":[71],"on":[73,109],"ill-posed":[74],"equations":[75],"Since":[79],"regularization":[83],"variational,":[85],"be":[88],"incorporated":[89],"into":[90],"variety":[92],"applications,":[94],"such":[95],"fairing,":[98],"3D":[99],"object":[100],"reconstruction":[101],"multiple":[103],"view-points,":[104],"or":[105],"shape":[106],"optimization.":[107],"Drawing":[108],"important":[110],"previous":[111],"work":[112],"geometers":[114],"who":[115],"were":[116],"interested":[117],"extending":[119],"certain":[120],"classical":[121],"theoremsfrom":[122],"smooth":[123],"to":[124],"polyhedral":[125],"manifolds,":[126],"we":[127],"describe":[128],"detail":[130],"appropriate":[132],"numerical":[133],"implementation":[134],"case":[141],"triangulated":[143],"surfaces.":[144],"then":[146],"demonstrate":[147],"efficacy":[149],"several":[154],"fairing":[156],"examples.":[157],"1":[158]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
