{"id":"https://openalex.org/W2081077927","doi":"https://doi.org/10.1145/1108590.1108611","title":"Volume subdivision based hexahedral finite element meshing of domains with interior 2-manifold boundaries","display_name":"Volume subdivision based hexahedral finite element meshing of domains with interior 2-manifold boundaries","publication_year":2006,"publication_date":"2006-01-25","ids":{"openalex":"https://openalex.org/W2081077927","doi":"https://doi.org/10.1145/1108590.1108611","mag":"2081077927"},"language":"en","primary_location":{"id":"doi:10.1145/1108590.1108611","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1108590.1108611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa","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/A5030896164","display_name":"Chandrajit Bajaj","orcid":"https://orcid.org/0000-0002-9619-3278"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chandrajit L. Bajaj","raw_affiliation_strings":["The Institute for Computational Engineering and Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute for Computational Engineering and Sciences","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082190743","display_name":"Lalit C. Karlapalem","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lalit C. Karlapalem","raw_affiliation_strings":["The University of Texas at Austin","The University of Texas, at Austin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, at Austin","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13014403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"18","issue":null,"first_page":"127","last_page":"136"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9983999729156494,"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/hexahedron","display_name":"Hexahedron","score":0.9574228525161743},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7069306969642639},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6216048002243042},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.5901980400085449},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5409745573997498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5184264183044434},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4848648011684418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.470980167388916},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4627985656261444},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4534870982170105},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.43739446997642517},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.4293060004711151},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4264048635959625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4066113829612732},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33424854278564453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15704911947250366},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1182163655757904},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09321263432502747},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09209421277046204}],"concepts":[{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.9574228525161743},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7069306969642639},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6216048002243042},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.5901980400085449},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5409745573997498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5184264183044434},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4848648011684418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.470980167388916},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4627985656261444},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4534870982170105},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.43739446997642517},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.4293060004711151},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4264048635959625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4066113829612732},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33424854278564453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15704911947250366},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1182163655757904},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09321263432502747},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09209421277046204},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1108590.1108611","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1108590.1108611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W65479554","https://openalex.org/W126840538","https://openalex.org/W1484840522","https://openalex.org/W1536749971","https://openalex.org/W1714207109","https://openalex.org/W1809711019","https://openalex.org/W2001102988","https://openalex.org/W2019609576","https://openalex.org/W2032325716","https://openalex.org/W2033374064","https://openalex.org/W2052783524","https://openalex.org/W2060942197","https://openalex.org/W2064538920","https://openalex.org/W2069533434","https://openalex.org/W2072693842","https://openalex.org/W2075421840","https://openalex.org/W2080681806","https://openalex.org/W2089906676","https://openalex.org/W2090913070","https://openalex.org/W2098548656","https://openalex.org/W2100196192","https://openalex.org/W2100269060","https://openalex.org/W2119558010","https://openalex.org/W2120018535","https://openalex.org/W2148768866","https://openalex.org/W2150139098","https://openalex.org/W2150874139","https://openalex.org/W2164262763","https://openalex.org/W2182932938","https://openalex.org/W2188761561","https://openalex.org/W2229412420","https://openalex.org/W2911001378","https://openalex.org/W2966022546","https://openalex.org/W4233857083","https://openalex.org/W4285719527","https://openalex.org/W6602638165","https://openalex.org/W6629228711","https://openalex.org/W6668402019","https://openalex.org/W6691954612"],"related_works":["https://openalex.org/W2372388500","https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2782457188","https://openalex.org/W2377450293","https://openalex.org/W2370429828","https://openalex.org/W2415051010","https://openalex.org/W2060942197"],"abstract_inverted_index":{"We":[0,50],"present":[1],"a":[2,13,18,33,52,117,156,161],"subdivision":[3,68],"based":[4],"algorithm":[5,30],"for":[6,56,160,168],"multi-resolution":[7],"Hexahedral":[8],"meshing.":[9],"The":[10,29],"input":[11,88],"is":[12],"bounding":[14],"rectilinear":[15],"domain":[16],"with":[17,164],"set":[19],"of":[20,24,69,92,100,124,127,171],"embedded":[21],"2-manifold":[22],"boundaries":[23],"arbitrary":[25],"genus":[26],"and":[27,77],"topology.":[28],"first":[31],"constructs":[32],"simplified":[34],"Voronoi":[35,58],"structure":[36],"to":[37,86],"partition":[38],"the":[39,79,83,87,96,101,108,121,125,128,134,143,147],"object":[40],"into":[41],"individual":[42],"components":[43],"that":[44,142,153],"can":[45,139],"be":[46],"then":[47],"meshed":[48],"separately.":[49],"create":[51],"coarse":[53],"hexahedral":[54,64,67,71,102,129],"mesh":[55,84,103,130,166],"each":[57,169],"cell":[59],"giving":[60],"us":[61],"an":[62],"initial":[63],"scaffold.":[65],"Recursive":[66],"this":[70],"scaffold":[72],"yields":[73],"adaptive":[74],"meshes.":[75],"Splitting":[76],"Smoothing":[78],"boundary":[80,98],"cells":[81],"makes":[82,95],"conform":[85],"2-manifolds.":[89],"Our":[90],"choice":[91],"smoothing":[93,136],"rules":[94],"resulting":[97],"surface":[99],"as":[104],"C2":[105],"continuous":[106],"in":[107,146],"limit":[109],"(C1":[110],"at":[111],"extra-ordinary":[112],"points),":[113],"while":[114],"also":[115,140],"keeping":[116],"definite":[118],"bound":[119],"on":[120],"condition":[122],"number":[123],"Jacobian":[126],"elements.":[131],"By":[132],"modifying":[133],"crease":[135],"rules,":[137],"we":[138,154],"guarantee":[141],"sharp":[144],"features":[145],"data":[148],"are":[149],"captured.":[150],"Subdivision":[151],"guarantees":[152],"achieve":[155],"very":[157],"good":[158],"approximation":[159],"given":[162],"tolerance,":[163],"optimal":[165],"elements":[167],"Level":[170],"Detail":[172],"(LoD).":[173]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
