{"id":"https://openalex.org/W3196623649","doi":"https://doi.org/10.1111/cgf.14393","title":"At\u2010Most\u2010Hexa Meshes","display_name":"At\u2010Most\u2010Hexa Meshes","publication_year":2021,"publication_date":"2021-09-07","ids":{"openalex":"https://openalex.org/W3196623649","doi":"https://doi.org/10.1111/cgf.14393","mag":"3196623649"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.14393","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.14393","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.14393","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.14393","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045007619","display_name":"Dennis R. Bukenberger","orcid":"https://orcid.org/0000-0002-0659-7181"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dennis R. Bukenberger","raw_affiliation_strings":["Computer Graphics, Wilhelm Schickard Institut for Computer Science Eberhard Karls University  T\u00fcbingen Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics, Wilhelm Schickard Institut for Computer Science Eberhard Karls University  T\u00fcbingen Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088977284","display_name":"Marco Tarini","orcid":"https://orcid.org/0000-0003-2301-3173"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Tarini","raw_affiliation_strings":["Dipartimento di Informatica Universit\u00e1 degli Studi di Milano  Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica Universit\u00e1 degli Studi di Milano  Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036948222","display_name":"Hendrik P. A. Lensch","orcid":"https://orcid.org/0000-0003-3616-8668"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hendrik P. A. Lensch","raw_affiliation_strings":["Computer Graphics, Wilhelm Schickard Institut for Computer Science Eberhard Karls University  T\u00fcbingen Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics, Wilhelm Schickard Institut for Computer Science Eberhard Karls University  T\u00fcbingen Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036948222","https://openalex.org/A5045007619","https://openalex.org/A5088977284"],"corresponding_institution_ids":["https://openalex.org/I189158943","https://openalex.org/I8087733"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":400,"currency":"EUR","value_usd":431},"fwci":1.5847,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88661226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"41","issue":"1","first_page":"7","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9976000189781189,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/polygon-mesh","display_name":"Polygon mesh","score":0.9117177724838257},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.8391500115394592},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.8270673751831055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.698868989944458},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5256814956665039},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.49136796593666077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4049474596977234},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.3977794051170349},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3864613175392151},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3821004629135132},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32593822479248047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2285589575767517}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.9117177724838257},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.8391500115394592},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.8270673751831055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.698868989944458},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5256814956665039},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.49136796593666077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4049474596977234},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.3977794051170349},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3864613175392151},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3821004629135132},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32593822479248047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2285589575767517},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1111/cgf.14393","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.14393","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.14393","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:air.unimi.it:2434/869865","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/869865","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:103617","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/103617","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1111/cgf.14393","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.14393","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.14393","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G233922387","display_name":null,"funder_award_id":"EXC number 2064/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7907426250","display_name":null,"funder_award_id":"390727645","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8915364236","display_name":null,"funder_award_id":"2064/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3196623649.pdf","grobid_xml":"https://content.openalex.org/works/W3196623649.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W121402315","https://openalex.org/W1563211680","https://openalex.org/W1584095431","https://openalex.org/W1798731418","https://openalex.org/W1825294361","https://openalex.org/W1912568406","https://openalex.org/W1973730326","https://openalex.org/W1977533012","https://openalex.org/W1979039862","https://openalex.org/W1985127753","https://openalex.org/W1991393198","https://openalex.org/W1993309788","https://openalex.org/W2016603590","https://openalex.org/W2017947362","https://openalex.org/W2020995339","https://openalex.org/W2027276065","https://openalex.org/W2055410695","https://openalex.org/W2065978712","https://openalex.org/W2069533434","https://openalex.org/W2075768929","https://openalex.org/W2076702317","https://openalex.org/W2088125199","https://openalex.org/W2100829795","https://openalex.org/W2109991971","https://openalex.org/W2110026675","https://openalex.org/W2125083429","https://openalex.org/W2130527887","https://openalex.org/W2139226296","https://openalex.org/W2161987835","https://openalex.org/W2169411235","https://openalex.org/W2202697052","https://openalex.org/W2232710831","https://openalex.org/W2293626636","https://openalex.org/W2342708195","https://openalex.org/W2366389387","https://openalex.org/W2519427229","https://openalex.org/W2739288568","https://openalex.org/W2739447304","https://openalex.org/W2768294793","https://openalex.org/W2769325917","https://openalex.org/W2807385636","https://openalex.org/W2808407777","https://openalex.org/W2809944305","https://openalex.org/W2810146865","https://openalex.org/W2811052594","https://openalex.org/W2888879731","https://openalex.org/W2898099969","https://openalex.org/W2902725192","https://openalex.org/W2907532096","https://openalex.org/W2922761305","https://openalex.org/W2947807161","https://openalex.org/W2956434516","https://openalex.org/W2963039621","https://openalex.org/W2965121748","https://openalex.org/W2968850406","https://openalex.org/W3002609743","https://openalex.org/W3004386410","https://openalex.org/W3048555161","https://openalex.org/W4214522959","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2171421712","https://openalex.org/W2068781699","https://openalex.org/W4236665358","https://openalex.org/W4367672810","https://openalex.org/W2069605750","https://openalex.org/W2783511335","https://openalex.org/W2648827758","https://openalex.org/W2138197125","https://openalex.org/W2381018316","https://openalex.org/W2048163432"],"abstract_inverted_index":{"Abstract":[0],"Volumetric":[1],"polyhedral":[2],"meshes":[3,31,163,174],"are":[4,35,50,69,135],"required":[5],"in":[6,39,110,131,235],"many":[7],"applications,":[8,43],"especially":[9],"for":[10,185,196,244,283],"solving":[11],"partial":[12],"differential":[13],"equations":[14],"on":[15,268,290],"finite":[16],"element":[17],"simulations.":[18],"Still,":[19],"their":[20,105,108],"construction":[21,160],"bears":[22],"several":[23],"additional":[24],"challenges":[25],"compared":[26],"to":[27,53,56,171,193,225,273],"boundary\u2010based":[28],"representations.":[29],"Tetrahedral":[30],"and":[32,47,72,147,168,211,260,293],"(pure)":[33,197],"hex\u2010meshes":[34],"two":[36],"popular":[37],"formats":[38],"scenarios":[40],"like":[41],"CAD":[42],"offering":[44],"opposite":[45],"advantages":[46],"disadvantages.":[48],"Hex\u2010meshes":[49],"more":[51,70,142,151],"intricate":[52],"construct":[54],"due":[55],"the":[57,61,74,157,227,242,269,277],"global":[58],"structure":[59,272],"of":[60,122,159,161,175,207,230],"meshing,":[62,199],"but":[63,85,104,138],"feature":[64,255],"much":[65],"better":[66],"regularity,":[67],"alignment,":[68,256],"expressive,":[71],"offer":[73],"same":[75],"simulation":[76],"accuracy":[77],"with":[78,287],"fewer":[79],"elements.":[80],"Hex\u2010dominant":[81],"meshes,":[82,125],"where":[83],"most":[84,133],"not":[86,202],"all":[87],"cell":[88,140],"elements":[89],"have":[90],"a":[91,119,166,188,221,236],"hexahedral":[92,198],"structure,":[93],"constitute":[94],"an":[95,204,232,284],"attractive":[96],"compromise,":[97],"potentially":[98],"unlocking":[99],"benefits":[100],"from":[101,180,187,215],"both":[102],"structures,":[103],"generality":[106],"makes":[107],"employment":[109],"downstream":[111],"applications":[112],"difficult.":[113],"In":[114,191],"this":[115,176],"work,":[116],"we":[117,127],"introduce":[118,265],"strict":[120],"subset":[121],"general":[123],"hex\u2010dominant":[124],"which":[126,132],"term":[128],"\u2018at\u2010most\u2010hexa":[129],"meshes\u2019,":[130],"cells":[134],"still":[136],"hexahedral,":[137],"no":[139,148],"has":[141,150],"than":[143,152],"six":[144],"boundary":[145,262],"faces,":[146],"face":[149],"four":[153],"sides.":[154],"We":[155,219,264],"exemplify":[156],"ease":[158],"at\u2010most\u2010hexa":[162],"by":[164],"proposing":[165],"frugal":[167],"straightforward":[169],"method":[170],"generate":[172],"high\u2010quality":[173],"kind,":[177],"starting":[178],"directly":[179,214],"hulls":[181],"or":[182,217],"point":[183],"clouds,":[184],"example,":[186],"3D":[189,238],"scan.":[190],"contrast":[192],"existing":[194],"methods":[195],"ours":[200],"does":[201],"require":[203],"intermediate":[205],"parameterization":[206],"other":[208],"costly":[209],"pre\u2010computations":[210],"can":[212],"start":[213],"surfaces":[216],"samples.":[218],"leverage":[220],"Lloyd":[222],"relaxation":[223],"process":[224],"exploit":[226],"synergistic":[228],"effects":[229],"aligning":[231],"orientation":[233],"field":[234],"modified":[237],"Voronoi":[239],"diagram":[240],"using":[241],"norm":[243],"cubical":[245],"cells.":[246],"The":[247,279],"extracted":[248],"geometry":[249],"incorporates":[250],"regularity":[251],"as":[252,254],"well":[253],"following":[257],"sharp":[258],"edges":[259],"curved":[261],"surfaces.":[263],"specialized":[266],"operations":[267],"three\u2010dimensional":[270],"graph":[271],"enforce":[274],"consistency":[275],"during":[276],"relaxation.":[278],"resulting":[280],"algorithm":[281],"allows":[282],"efficient":[285],"evaluation":[286],"parallel":[288],"algorithms":[289],"GPU":[291],"hardware":[292],"completes":[294],"even":[295],"large":[296],"reconstructions":[297],"within":[298],"minutes.":[299]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2021-09-13T00:00:00"}