{"id":"https://openalex.org/W2142586112","doi":"https://doi.org/10.1109/smi.2003.1199601","title":"Isotropic surface remeshing","display_name":"Isotropic surface remeshing","publication_year":2003,"publication_date":"2003-12-22","ids":{"openalex":"https://openalex.org/W2142586112","doi":"https://doi.org/10.1109/smi.2003.1199601","mag":"2142586112"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2003.1199601","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2003.1199601","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 Shape Modeling International.","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/A5086753450","display_name":"Pierre Alliez","orcid":"https://orcid.org/0000-0002-6214-4005"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Alliez","raw_affiliation_strings":["INRIA Sophia-Antipolis, France","INRIA, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060821725","display_name":"E.C. de Verdire","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E.C. de Verdire","raw_affiliation_strings":["ENS Paris;"],"affiliations":[{"raw_affiliation_string":"ENS Paris;","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043040182","display_name":"Olivier Devillers","orcid":"https://orcid.org/0000-0003-4275-5068"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O. Devillers","raw_affiliation_strings":["INRIA Sophia-Antipolis, France","[INRIA-Sophia Antipolis, France]"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"[INRIA-Sophia Antipolis, France]","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043312264","display_name":"Martin Isenburg","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Isenburg","raw_affiliation_strings":["UNC at Chapel Hill, Chapel Hill, USA"],"affiliations":[{"raw_affiliation_string":"UNC at Chapel Hill, Chapel Hill, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086753450"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":16.8991,"has_fulltext":false,"cited_by_count":175,"citation_normalized_percentile":{"value":0.99570573,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"49","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.783696174621582},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.7029213309288025},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.649520218372345},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6428571343421936},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6396380066871643},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6027043461799622},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5708145499229431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5356220006942749},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.4935406446456909},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4702666699886322},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46997660398483276},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.46456706523895264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4287852644920349},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4273113012313843},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4112272560596466},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38354480266571045},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3189529478549957},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2493697702884674},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08782902359962463}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.783696174621582},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.7029213309288025},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.649520218372345},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6428571343421936},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6396380066871643},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6027043461799622},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5708145499229431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5356220006942749},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.4935406446456909},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4702666699886322},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46997660398483276},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.46456706523895264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4287852644920349},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4273113012313843},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4112272560596466},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38354480266571045},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3189529478549957},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2493697702884674},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08782902359962463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smi.2003.1199601","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2003.1199601","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 Shape Modeling International.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W140937755","https://openalex.org/W174979102","https://openalex.org/W1425488884","https://openalex.org/W1525169043","https://openalex.org/W1572286032","https://openalex.org/W1578998830","https://openalex.org/W1626653188","https://openalex.org/W1659568777","https://openalex.org/W1966577626","https://openalex.org/W1969549682","https://openalex.org/W1974956622","https://openalex.org/W1976584051","https://openalex.org/W1982289281","https://openalex.org/W1989480677","https://openalex.org/W2003000984","https://openalex.org/W2009256901","https://openalex.org/W2009835586","https://openalex.org/W2010674016","https://openalex.org/W2011981813","https://openalex.org/W2020479845","https://openalex.org/W2027947870","https://openalex.org/W2031634294","https://openalex.org/W2032350951","https://openalex.org/W2051752778","https://openalex.org/W2062337771","https://openalex.org/W2068922602","https://openalex.org/W2070597190","https://openalex.org/W2074981114","https://openalex.org/W2075010828","https://openalex.org/W2080528912","https://openalex.org/W2084631168","https://openalex.org/W2086543656","https://openalex.org/W2086713863","https://openalex.org/W2094472302","https://openalex.org/W2100076445","https://openalex.org/W2102151147","https://openalex.org/W2107735645","https://openalex.org/W2115396978","https://openalex.org/W2115763539","https://openalex.org/W2126151059","https://openalex.org/W2130470231","https://openalex.org/W2133493855","https://openalex.org/W2134756023","https://openalex.org/W2144083240","https://openalex.org/W2150593711","https://openalex.org/W2151329844","https://openalex.org/W2155688397","https://openalex.org/W2156247583","https://openalex.org/W2157121998","https://openalex.org/W2159978942","https://openalex.org/W2250107905","https://openalex.org/W2293644818","https://openalex.org/W2294238806","https://openalex.org/W2341600683","https://openalex.org/W2614835259","https://openalex.org/W2615466847","https://openalex.org/W2998584800","https://openalex.org/W3140955151","https://openalex.org/W3141742114","https://openalex.org/W3150574965","https://openalex.org/W3151546419","https://openalex.org/W4237579241","https://openalex.org/W4244605506","https://openalex.org/W4249153352","https://openalex.org/W4249353371","https://openalex.org/W6605712888","https://openalex.org/W6607236334","https://openalex.org/W6634762012","https://openalex.org/W6667882451","https://openalex.org/W6677061549","https://openalex.org/W6677577277","https://openalex.org/W6683393623","https://openalex.org/W6729021831"],"related_works":["https://openalex.org/W2024358741","https://openalex.org/W2009236621","https://openalex.org/W2046449274","https://openalex.org/W4793565","https://openalex.org/W2046152814","https://openalex.org/W2058313718","https://openalex.org/W1741864703","https://openalex.org/W2115655895","https://openalex.org/W2041771459","https://openalex.org/W181724929"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,14,22,67,73,110,125],"new":[4],"method":[5],"for":[6,65,84],"isotropic":[7],"remeshing":[8,137],"of":[9,35,113,132],"triangulated":[10,15],"surface":[11,16],"meshes.":[12],"Given":[13],"mesh":[17,50,90],"to":[18,46,123],"be":[19],"resampled":[20],"and":[21,52],"user-specified":[23],"density":[24,80,115],"function":[25,81],"defined":[26],"over":[27,104],"it,":[28],"we":[29],"first":[30],"distribute":[31],"the":[32,58,78,89,93,105,114,117,130],"desired":[33],"number":[34],"samples":[36],"by":[37,91],"generalizing":[38],"error":[39],"diffusion,":[40],"commonly":[41],"used":[42,83],"in":[43,72],"image":[44],"halftoning,":[45],"work":[47],"directly":[48],"on":[49],"triangles":[51],"feature":[53],"edges.":[54],"We":[55,86,128],"then":[56],"use":[57],"resulting":[59],"sampling":[60,106],"as":[61],"an":[62],"initial":[63],"configuration":[64],"building":[66],"weighted":[68],"centroidal":[69],"Voronoi":[70],"tessellation":[71],"conformal":[74],"parameter":[75,99],"space,":[76],"where":[77],"specified":[79],"is":[82,107],"weighing.":[85],"finally":[87],"create":[88],"lifting":[92],"corresponding":[94],"constrained":[95],"Delaunay":[96],"triangulation":[97],"from":[98],"space.":[100],"A":[101],"precise":[102],"control":[103],"obtained":[108],"through":[109,135],"flexible":[111],"design":[112],"function,":[116],"latter":[118],"being":[119],"possibly":[120],"low-pass":[121],"filtered":[122],"obtain":[124],"smoother":[126],"gradation.":[127],"demonstrate":[129],"versatility":[131],"our":[133],"approach":[134],"various":[136],"examples.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}