{"id":"https://openalex.org/W7115939833","doi":"https://doi.org/10.1093/jcde/qwaf134","title":"Robust tessellation of CAD models without self-intersections","display_name":"Robust tessellation of CAD models without self-intersections","publication_year":2025,"publication_date":"2025-12-17","ids":{"openalex":"https://openalex.org/W7115939833","doi":"https://doi.org/10.1093/jcde/qwaf134"},"language":"en","primary_location":{"id":"doi:10.1093/jcde/qwaf134","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jcde/qwaf134","pdf_url":null,"source":{"id":"https://openalex.org/S2485147958","display_name":"Journal of Computational Design and Engineering","issn_l":"2288-4300","issn":["2288-4300","2288-5048"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"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":"Journal of Computational Design and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1093/jcde/qwaf134","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gangyi Li","orcid":null},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gangyi Li","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhongxuan Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongxuan Luo","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yuhao Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhao Feng","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Lingfeng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingfeng Zhang","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yuqiao Gai","orcid":null},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuqiao Gai","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"last","author":{"id":null,"display_name":"Na Lei","orcid":"https://orcid.org/0000-0003-3361-0756"},"institutions":[{"id":"https://openalex.org/I156292868","display_name":"Dalian University of Foreign Languages","ror":"https://ror.org/008a8z393","country_code":"CN","type":"education","lineage":["https://openalex.org/I156292868"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Na Lei","raw_affiliation_strings":["School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,"],"raw_orcid":"https://orcid.org/0000-0003-3361-0756","affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology , Dalian, Liaoning 116024 ,","institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I156292868","https://openalex.org/I27357992","https://openalex.org/I4210092944"],"apc_list":{"value":1650,"currency":"USD","value_usd":1650},"apc_paid":{"value":1650,"currency":"USD","value_usd":1650},"fwci":2.2667,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92026194,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"13","issue":"1","first_page":"239","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.5027999877929688,"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":0.5027999877929688,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.3312000036239624,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.06499999761581421,"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/polygon-mesh","display_name":"Polygon mesh","score":0.669700026512146},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.6568999886512756},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.5819000005722046},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.5346999764442444},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.5343999862670898},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5024999976158142},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4715999960899353},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4627000093460083},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.42329999804496765},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4196999967098236}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.669700026512146},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.6568999886512756},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.5819000005722046},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.5346999764442444},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.5343999862670898},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5024999976158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49900001287460327},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4715999960899353},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4627000093460083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4602999985218048},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4196999967098236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39959999918937683},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.38659998774528503},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.3544999957084656},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.3513000011444092},{"id":"https://openalex.org/C117258860","wikidata":"https://www.wikidata.org/wiki/Q895153","display_name":"Boundary representation","level":3,"score":0.3488999903202057},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.3452000021934509},{"id":"https://openalex.org/C50637493","wikidata":"https://www.wikidata.org/wiki/Q1136781","display_name":"Morphing","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3353999853134155},{"id":"https://openalex.org/C13670688","wikidata":"https://www.wikidata.org/wiki/Q3500548","display_name":"Space partitioning","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3206999897956848},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C147037132","wikidata":"https://www.wikidata.org/wiki/Q6865426","display_name":"Minimum bounding box","level":3,"score":0.30889999866485596},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C181095308","wikidata":"https://www.wikidata.org/wiki/Q1541599","display_name":"Geometric primitive","level":2,"score":0.30790001153945923},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C136520226","wikidata":"https://www.wikidata.org/wiki/Q302814","display_name":"Geometric data analysis","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C108882727","wikidata":"https://www.wikidata.org/wiki/Q2991685","display_name":"Solid modeling","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C194789388","wikidata":"https://www.wikidata.org/wiki/Q17855283","display_name":"CAD","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C184585634","wikidata":"https://www.wikidata.org/wiki/Q1434060","display_name":"Bounding volume","level":4,"score":0.26499998569488525},{"id":"https://openalex.org/C56435381","wikidata":"https://www.wikidata.org/wiki/Q1196371","display_name":"Geometric transformation","level":3,"score":0.25949999690055847},{"id":"https://openalex.org/C200585589","wikidata":"https://www.wikidata.org/wiki/Q752176","display_name":"Texture mapping","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jcde/qwaf134","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jcde/qwaf134","pdf_url":null,"source":{"id":"https://openalex.org/S2485147958","display_name":"Journal of Computational Design and Engineering","issn_l":"2288-4300","issn":["2288-4300","2288-5048"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"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":"Journal of Computational Design and Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1093/jcde/qwaf134","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jcde/qwaf134","pdf_url":null,"source":{"id":"https://openalex.org/S2485147958","display_name":"Journal of Computational Design and Engineering","issn_l":"2288-4300","issn":["2288-4300","2288-5048"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"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":"Journal of Computational Design and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.40388649702072144,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1032059337","display_name":null,"funder_award_id":"T2225012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G448083289","display_name":null,"funder_award_id":"12494554","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8903252080","display_name":null,"funder_award_id":"12494550","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W748135821","https://openalex.org/W1967337063","https://openalex.org/W1987076234","https://openalex.org/W1989513862","https://openalex.org/W2002386777","https://openalex.org/W2006502673","https://openalex.org/W2014915688","https://openalex.org/W2019701954","https://openalex.org/W2024506048","https://openalex.org/W2026082049","https://openalex.org/W2037813360","https://openalex.org/W2046227230","https://openalex.org/W2077124930","https://openalex.org/W2088406929","https://openalex.org/W2091982023","https://openalex.org/W2099973502","https://openalex.org/W2112311198","https://openalex.org/W2116319659","https://openalex.org/W2134931521","https://openalex.org/W2155785488","https://openalex.org/W2161987835","https://openalex.org/W2172924291","https://openalex.org/W2224136207","https://openalex.org/W2621368410","https://openalex.org/W2908157879","https://openalex.org/W3007989415","https://openalex.org/W3021176705","https://openalex.org/W3047739499","https://openalex.org/W3110038577","https://openalex.org/W4241535784","https://openalex.org/W4254707034","https://openalex.org/W4313067792","https://openalex.org/W4404334673"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1],"tessellation":[2,41,68],"of":[3,38,79,131],"Computer-Aided":[4],"Design":[5],"(CAD)":[6],"models":[7,31],"into":[8],"high-quality":[9],"triangular":[10],"meshes":[11,181],"is":[12],"a":[13,61,114],"fundamental":[14],"preprocessing":[15],"step":[16],"for":[17,65],"downstream":[18],"applications":[19],"in":[20,50,178],"visualization,":[21],"numerical":[22],"simulation,":[23],"and":[24,36,48,82,153,170,186],"digital":[25],"manufacturing.":[26],"While":[27],"modern":[28],"boundary":[29],"representation":[30],"are":[32],"typically":[33],"geometrically":[34],"valid":[35],"free":[37],"self-intersections,":[39],"their":[40],"frequently":[42],"introduces":[43],"artificial":[44],"geometric":[45,88,125,166,184],"artifacts-including":[46],"self-intersections":[47],"gaps-particularly":[49],"regions":[51,84,98],"containing":[52],"narrow":[53],"features":[54],"or":[55],"high-curvature":[56],"surfaces.":[57],"This":[58],"paper":[59],"presents":[60],"robust,":[62],"general":[63],"framework":[64],"watertight":[66],"B-rep":[67],"with":[69,182],"three":[70],"key":[71],"contributions.":[72],"First,":[73],"we":[74,106,136],"introduce":[75],"mathematically":[76],"rigorous":[77],"definitions":[78],"critical":[80,83,133,148],"points":[81],"that":[85,93],"characterize":[86],"local":[87],"behavior;":[89],"our":[90,174],"analysis":[91],"proves":[92],"sampling":[94],"constrained":[95,140],"to":[96,124],"these":[97],"guarantees":[99],"intersection-free":[100,180],"refinement":[101],"under":[102],"arbitrary":[103],"resolution.":[104],"Second,":[105],"develop":[107],"an":[108,138],"accelerated":[109],"spatial":[110],"indexing":[111],"structure":[112],"using":[113],"novel":[115],"parallel":[116],"hexahedron":[117],"bounding":[118],"volume":[119],"hierarchy,":[120],"which":[121],"dynamically":[122],"adapts":[123],"complexity":[126],"while":[127],"minimizing":[128],"the":[129],"number":[130],"required":[132],"regions.":[134],"Third,":[135],"propose":[137],"improved":[139],"Delaunay":[141],"triangulation":[142],"algorithm":[143],"that,":[144],"when":[145],"guided":[146],"by":[147],"regions,":[149],"simultaneously":[150],"enforces":[151],"watertightness":[152],"optimal":[154],"element":[155],"quality":[156],"across":[157],"surface":[158],"patch":[159],"boundaries.":[160],"Comprehensive":[161],"experimental":[162],"evaluations":[163],"against":[164],"state-of-the-art":[165],"kernels":[167],"(NetGen,":[168],"Gmsh,":[169],"Open":[171],"CASCADE)":[172],"demonstrate":[173],"method\u2019s":[175],"superior":[176],"performance":[177],"generating":[179],"enhanced":[183],"fidelity":[185],"computational":[187],"efficiency.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-12-19T00:00:00"}