{"id":"https://openalex.org/W2100404480","doi":"https://doi.org/10.1142/s0218195998000278","title":"Free-Form Modeling in Bilateral Brep and CSG Representation Schemes","display_name":"Free-Form Modeling in Bilateral Brep and CSG Representation Schemes","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2100404480","doi":"https://doi.org/10.1142/s0218195998000278","mag":"2100404480"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195998000278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195998000278","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry & Applications","raw_type":"journal-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/A5112610491","display_name":"Jai Menon","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jai Menon","raw_affiliation_strings":["IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA","[IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA]"],"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA","institution_ids":[]},{"raw_affiliation_string":"[IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA]","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101666011","display_name":"Baining Guo","orcid":"https://orcid.org/0000-0001-8349-8868"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Baining Guo","raw_affiliation_strings":["Department of Computer Science, York University, North York, Ontario, Canada, M3J 1P3, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, York University, North York, Ontario, Canada, M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112610491"],"corresponding_institution_ids":["https://openalex.org/I1341412227"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.19134039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"08","issue":"05n06","first_page":"537","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983000159263611,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983000159263611,"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":0.9979000091552734,"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":0.9945999979972839,"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/quadratic-equation","display_name":"Quadratic equation","score":0.6271873116493225},{"id":"https://openalex.org/keywords/constructive-solid-geometry","display_name":"Constructive solid geometry","score":0.5573159456253052},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5377751588821411},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.509212851524353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5088610649108887},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.42254000902175903},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.414615273475647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36090993881225586},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.359512597322464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23226118087768555},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16246694326400757}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6271873116493225},{"id":"https://openalex.org/C188032258","wikidata":"https://www.wikidata.org/wiki/Q1128371","display_name":"Constructive solid geometry","level":2,"score":0.5573159456253052},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5377751588821411},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.509212851524353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5088610649108887},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.42254000902175903},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.414615273475647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36090993881225586},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.359512597322464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23226118087768555},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16246694326400757},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195998000278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195998000278","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry & Applications","raw_type":"journal-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":9,"referenced_works":["https://openalex.org/W1966739849","https://openalex.org/W1989708343","https://openalex.org/W2035153735","https://openalex.org/W2064784401","https://openalex.org/W2086570324","https://openalex.org/W2091213677","https://openalex.org/W2100185791","https://openalex.org/W2100588603","https://openalex.org/W2131809931"],"related_works":["https://openalex.org/W2245459674","https://openalex.org/W4300353038","https://openalex.org/W2127083305","https://openalex.org/W1493128123","https://openalex.org/W2050107832","https://openalex.org/W2273071723","https://openalex.org/W4243120341","https://openalex.org/W2394335584","https://openalex.org/W1577945567","https://openalex.org/W4233025965"],"abstract_inverted_index":{"This":[0,50,93],"paper":[1],"presents":[2],"a":[3,28,34,38,42,46,73,157],"unified":[4],"approach":[5],"for":[6,99,115,120],"incorporating":[7],"free-form":[8,35],"solids":[9,133],"in":[10,140],"bilateral":[11],"Brep":[12,74],"and":[13,45,171],"CSG":[14,30,104,146],"representation":[15,143],"schemes,":[16],"by":[17],"resorting":[18],"to":[19,54,71,128,155],"low-degree":[20],"(quadratic,":[21],"cubic)":[22],"algebraic":[23,78],"surface":[24],"patches.":[25,101],"We":[26,67],"develop":[27],"general":[29,103,165],"solution":[31,51,105],"that":[32,80,86,125],"represents":[33],"solid":[36,161],"as":[37],"boolean":[39],"combination":[40],"of":[41,76,122,134,160],"direct":[43],"term":[44,62],"complicated":[47],"delta":[48,61],"term.":[49],"gives":[52],"rise":[53],"the":[55,60,87,152],"trunctet-subshell":[56,88,109],"conditions,":[57],"under":[58],"which":[59],"computation":[63],"can":[64,137],"be":[65,138],"obviated.":[66],"use":[68],"polyhedral":[69],"smoothing":[70],"construct":[72],"consisting":[75],"quadratic":[77],"patches":[79,117,121],"meet":[81],"with":[82],"tangent-plane":[83],"continuity,":[84],"such":[85],"conditions":[89,110],"are":[90,111,126,148],"guaranteed":[91],"automatically.":[92],"guarantee":[94],"is":[95],"not":[96],"currently":[97],"available":[98],"cubic":[100,116],"The":[102],"thus":[106],"applies":[107],"whenever":[108],"violated,":[112],"e.g.":[113],"sometimes":[114,119],"or":[118],"any":[123],"degree":[124],"subject":[127],"shape":[129],"control":[130],"operations.":[131],"Manifold":[132],"arbitrary":[135],"topology":[136],"represented":[139],"our":[141],"dual":[142],"system.":[144],"Ensuing":[145],"constructs":[147],"parallel":[149],"processed":[150],"on":[151],"RayCasting":[153],"Engine":[154],"support":[156],"wide":[158],"range":[159],"modeling":[162],"applications,":[163],"including":[164],"sweeping,":[166],"Minkowski":[167],"operations,":[168],"NC":[169],"machining,":[170],"touch-sense":[172],"probing.":[173]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}