{"id":"https://openalex.org/W7148686677","doi":"https://doi.org/10.48550/arxiv.2604.02141","title":"Topology-First B-Rep Meshing","display_name":"Topology-First B-Rep Meshing","publication_year":2026,"publication_date":"2026-04-02","ids":{"openalex":"https://openalex.org/W7148686677","doi":"https://doi.org/10.48550/arxiv.2604.02141"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.02141","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.02141","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.02141","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5132830849","display_name":"YunFan Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, YunFan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050128796","display_name":"Daniel Zint","orcid":"https://orcid.org/0000-0003-4491-1685"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zint, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132838124","display_name":"Nafiseh Izadyar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Izadyar, Nafiseh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048017779","display_name":"Michael Tao","orcid":"https://orcid.org/0000-0002-6312-4989"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao, Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046160172","display_name":"Daniele Panozzo","orcid":"https://orcid.org/0000-0003-1183-2454"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Panozzo, Daniele","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5132852947","display_name":"Teseo Schneider","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schneider, Teseo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.505299985408783,"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":0.505299985408783,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.41290000081062317,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.014600000344216824,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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":0.7454000115394592},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6452000141143799},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48809999227523804},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.45680001378059387},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.41519999504089355},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.41100001335144043},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.39340001344680786},{"id":"https://openalex.org/keywords/boundary-representation","display_name":"Boundary representation","score":0.387800008058548},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.3813000023365021},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.3734999895095825}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7454000115394592},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6452000141143799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5263000130653381},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48809999227523804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4724999964237213},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.45680001378059387},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.41519999504089355},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.41100001335144043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3968999981880188},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.39340001344680786},{"id":"https://openalex.org/C117258860","wikidata":"https://www.wikidata.org/wiki/Q895153","display_name":"Boundary representation","level":3,"score":0.387800008058548},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3734999895095825},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.36640000343322754},{"id":"https://openalex.org/C50637493","wikidata":"https://www.wikidata.org/wiki/Q1136781","display_name":"Morphing","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C194401833","wikidata":"https://www.wikidata.org/wiki/Q3456889","display_name":"Triangle mesh","level":3,"score":0.35179999470710754},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.33629998564720154},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32030001282691956},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.30399999022483826},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3018999993801117},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.28139999508857727},{"id":"https://openalex.org/C123691950","wikidata":"https://www.wikidata.org/wiki/Q25552104","display_name":"Mesh networking","level":3,"score":0.28029999136924744},{"id":"https://openalex.org/C194789388","wikidata":"https://www.wikidata.org/wiki/Q17855283","display_name":"CAD","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C108882727","wikidata":"https://www.wikidata.org/wiki/Q2991685","display_name":"Solid modeling","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C160403270","wikidata":"https://www.wikidata.org/wiki/Q7667943","display_name":"T-vertices","level":4,"score":0.27219998836517334},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C181095308","wikidata":"https://www.wikidata.org/wiki/Q1541599","display_name":"Geometric primitive","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.26499998569488525},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2612000107765198},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.02141","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.02141","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.02141","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.02141","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Parametric":[0],"boundary":[1],"representation":[2],"models":[3,178],"(B-Reps)":[4],"are":[5],"the":[6,27,39,47,52,90,99,105,117,120,123,132,144,150,161,180,201],"de":[7],"facto":[8],"standard":[9,191],"in":[10,51],"CAD,":[11],"graphics,":[12],"and":[13,33,70,78,155,182],"robotics,":[14],"yet":[15],"converting":[16],"them":[17],"into":[18],"valid":[19],"meshes":[20,55,158],"remains":[21],"fragile.":[22],"The":[23,194],"difficulty":[24],"originates":[25],"from":[26,122,179],"unavoidable":[28],"approximation":[29],"of":[30,98,119,175],"high-order":[31],"surface":[32],"curve":[34],"intersections":[35],"to":[36,45,115],"low-order":[37],"primitives:":[38],"resulting":[40],"geometric":[41,140],"realization":[42],"often":[43],"fails":[44],"respect":[46],"exact":[48,106],"topology":[49,92,108],"encoded":[50],"B-Rep,":[53],"producing":[54],"with":[56,190],"incorrect":[57],"or":[58,166],"missing":[59],"adjacencies.":[60],"Existing":[61],"meshing":[62,100,192],"pipelines":[63],"address":[64],"these":[65],"inconsistencies":[66],"through":[67],"heuristic":[68],"feature-merging":[69],"repair":[71],"strategies":[72],"that":[73,188,197],"offer":[74],"no":[75],"topological":[76,198],"guarantees":[77,199],"frequently":[79],"fail":[80,189],"on":[81,173],"complex":[82],"models.":[83],"We":[84,169],"propose":[85],"a":[86,111],"fundamentally":[87],"different":[88],"approach:":[89],"B-Rep":[91,107],"is":[93,135,164],"treated":[94],"as":[95,143],"an":[96],"invariant":[97],"process.":[101],"Our":[102],"algorithm":[103],"enforces":[104],"while":[109],"allowing":[110],"single":[112],"user-defined":[113],"tolerance":[114,145],"control":[116],"deviation":[118],"mesh":[121,134,206],"underlying":[124,162],"parametric":[125],"surfaces.":[126],"Consequently,":[127],"for":[128,152,209],"any":[129],"admissible":[130],"tolerance,":[131],"output":[133],"topologically":[136],"correct;":[137],"only":[138],"its":[139],"fidelity":[141],"degrades":[142],"increases.":[146],"This":[147],"decoupling":[148],"eliminates":[149],"need":[151],"post-hoc":[153],"repairs":[154],"yields":[156],"robust":[157],"even":[159],"when":[160],"geometry":[163],"inconsistent":[165],"highly":[167],"approximated.":[168],"evaluate":[170],"our":[171],"method":[172],"thousands":[174],"real-world":[176],"CAD":[177],"ABC":[181],"Fusion":[183],"360":[184],"repositories,":[185],"including":[186],"instances":[187],"tools.":[193],"results":[195],"demonstrate":[196],"at":[200],"algorithmic":[202],"level":[203],"enable":[204],"reliable":[205],"generation":[207],"suitable":[208],"downstream":[210],"applications.":[211]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-04T00:00:00"}