{"id":"https://openalex.org/W2114275307","doi":"https://doi.org/10.1109/gmap.2002.1027503","title":"Mesh smoothing via mean and median filtering applied to face normals","display_name":"Mesh smoothing via mean and median filtering applied to face normals","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2114275307","doi":"https://doi.org/10.1109/gmap.2002.1027503","mag":"2114275307"},"language":"en","primary_location":{"id":"doi:10.1109/gmap.2002.1027503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2002.1027503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings","raw_type":"proceedings-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/A5089752073","display_name":"H. Yagou","orcid":null},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Yagou","raw_affiliation_strings":["University of Aizu, Fukushima, Japan","Univ. of Aizu, Wakamatsu City, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Aizu, Fukushima, Japan","institution_ids":["https://openalex.org/I141591182"]},{"raw_affiliation_string":"Univ. of Aizu, Wakamatsu City, Japan","institution_ids":["https://openalex.org/I141591182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049557830","display_name":"Yutaka Ohtake","orcid":"https://orcid.org/0000-0002-1368-9172"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Y. Ohtake","raw_affiliation_strings":["Computer Graphics Group, Max-Planck-Institut f\u00fcr Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics Group, Max-Planck-Institut f\u00fcr Informatik, Germany","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101941729","display_name":"Alexander Belyaev","orcid":"https://orcid.org/0000-0002-7043-8847"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Belyaev","raw_affiliation_strings":["Computer Graphics Group, Max-Planck-Institut f\u00fcr Informatik, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics Group, Max-Planck-Institut f\u00fcr Informatik, Germany","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.321,"has_fulltext":false,"cited_by_count":185,"citation_normalized_percentile":{"value":0.97419865,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"124","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":1.0,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.9465203285217285},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.8675910234451294},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8612023591995239},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.6463634371757507},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.6070841550827026},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.577178418636322},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5562341213226318},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.52188640832901},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5186485648155212},{"id":"https://openalex.org/keywords/median-filter","display_name":"Median filter","score":0.46568527817726135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4636095464229584},{"id":"https://openalex.org/keywords/bilateral-filter","display_name":"Bilateral filter","score":0.45516952872276306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4465197026729584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4355849623680115},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.33106255531311035},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2955784797668457},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2399841845035553},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.23654311895370483},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.21766898036003113},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17367586493492126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13950639963150024},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.09898540377616882}],"concepts":[{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.9465203285217285},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8675910234451294},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8612023591995239},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.6463634371757507},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.6070841550827026},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.577178418636322},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5562341213226318},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.52188640832901},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5186485648155212},{"id":"https://openalex.org/C55352655","wikidata":"https://www.wikidata.org/wiki/Q304247","display_name":"Median filter","level":4,"score":0.46568527817726135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4636095464229584},{"id":"https://openalex.org/C156140930","wikidata":"https://www.wikidata.org/wiki/Q860417","display_name":"Bilateral filter","level":3,"score":0.45516952872276306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4465197026729584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4355849623680115},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.33106255531311035},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2955784797668457},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2399841845035553},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.23654311895370483},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.21766898036003113},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17367586493492126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13950639963150024},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.09898540377616882},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/gmap.2002.1027503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2002.1027503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.5959","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.5959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-sb.mpg.de/~belyaev/papers/gmp02yob.ps.gz","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:202227","is_oa":false,"landing_page_url":"http://edoc.mpg.de/202227","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Geometric Modeling and Processing, IEEE, 124-131 (2002)","raw_type":"Conference-Paper"},{"id":"pmh:oai:pure.mpg.de:item_1330379","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-2FE8-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Geometric Modeling and Processing","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W96148421","https://openalex.org/W581389087","https://openalex.org/W1489195553","https://openalex.org/W1616186945","https://openalex.org/W1990816220","https://openalex.org/W2000214666","https://openalex.org/W2074981114","https://openalex.org/W2079017595","https://openalex.org/W2097924771","https://openalex.org/W2143607173","https://openalex.org/W2156210116","https://openalex.org/W2164903251","https://openalex.org/W2237825899","https://openalex.org/W2288352283","https://openalex.org/W3148091194","https://openalex.org/W6617096134"],"related_works":["https://openalex.org/W2387173477","https://openalex.org/W2028530852","https://openalex.org/W2392892071","https://openalex.org/W1793332957","https://openalex.org/W1972974167","https://openalex.org/W2189111378","https://openalex.org/W2374796219","https://openalex.org/W2137854927","https://openalex.org/W2114275307","https://openalex.org/W2067577094"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"frameworks":[3,25],"to":[4,15,36,49],"extend":[5],"the":[6,28,31,43,53,63,131],"mean":[7,32,82,104,116],"and":[8,33,42,68,81,96,105,115],"median":[9,34,106],"filtering":[10,66,107],"schemes":[11,67],"in":[12,90],"image":[13],"processing":[14],"smoothing":[16,74,79,124],"noisy":[17],"3D":[18],"shapes":[19],"given":[20],"by":[21],"triangle":[22,40],"meshes.":[23],"The":[24,85],"consist":[26],"of":[27,30,45,62,130],"application":[29],"filters":[35],"face":[37],"normals":[38],"on":[39,93],"meshes":[41],"editing":[44],"mesh":[46,65,73,94,103,123],"vertex":[47],"positions":[48],"make":[50],"them":[51,70],"fit":[52],"modified":[54],"normals.":[55,97],"We":[56,119],"also":[57],"give":[58],"a":[59],"quantitative":[60,86],"evaluation":[61,87],"proposed":[64],"compare":[69],"with":[71],"conventional":[72,113],"methods":[75,108,125],"such":[76],"as":[77,126],"Laplacian":[78,114],"flow":[80],"curvature":[83,117],"flow.":[84],"is":[88],"performed":[89],"error":[91],"metrics":[92],"vertices":[95],"Experimental":[98],"results":[99],"demonstrate":[100],"that":[101],"our":[102],"are":[109],"more":[110],"stable":[111],"than":[112],"flows.":[118],"propose":[120],"thee":[121],"new":[122],"one":[127],"possible":[128],"solution":[129],"oversmoothing":[132],"problem.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}