{"id":"https://openalex.org/W2018292290","doi":"https://doi.org/10.1145/1360612.1360678","title":"Watertight trimmed NURBS","display_name":"Watertight trimmed NURBS","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2018292290","doi":"https://doi.org/10.1145/1360612.1360678","mag":"2018292290"},"language":"en","primary_location":{"id":"doi:10.1145/1360612.1360678","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1360612.1360678","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","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/A5113576321","display_name":"Thomas W. Sederberg","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas W. Sederberg","raw_affiliation_strings":["Brigham Young University"],"affiliations":[{"raw_affiliation_string":"Brigham Young University","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045059630","display_name":"G. Thomas Finnigan","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Thomas Finnigan","raw_affiliation_strings":["Brigham Young University"],"affiliations":[{"raw_affiliation_string":"Brigham Young University","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353783","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-0144-9489"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010927583","display_name":"Hongwei Lin","orcid":"https://orcid.org/0000-0002-9337-9624"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Lin","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023034975","display_name":"Heather Ipson","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Heather Ipson","raw_affiliation_strings":["Brigham Young University"],"affiliations":[{"raw_affiliation_string":"Brigham Young University","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5113576321"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":6.112,"has_fulltext":false,"cited_by_count":152,"citation_normalized_percentile":{"value":0.96819511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"27","issue":"3","first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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":0.9842000007629395,"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":0.9825000166893005,"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/spline","display_name":"Spline (mechanical)","score":0.7329193949699402},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6400215029716492},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6128888130187988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5896759629249573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4176385998725891},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4120647609233856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35378700494766235},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34028154611587524},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07816246151924133},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07040703296661377}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.7329193949699402},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6400215029716492},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6128888130187988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5896759629249573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4176385998725891},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4120647609233856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35378700494766235},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34028154611587524},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07816246151924133},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07040703296661377},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1145/1360612.1360678","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1360612.1360678","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.865.5670","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.865.5670","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"http://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article%3D1905%26context%3Dfacpub","raw_type":"text"},{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-1808","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/809","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-1811","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/812","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:scholarsarchive.byu.edu:facpub-1905","is_oa":false,"landing_page_url":"https://scholarsarchive.byu.edu/facpub/906","pdf_url":null,"source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.146.3590","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.3590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tsplines.com/technology/WTN.pdf","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-1808","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/809","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-1811","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/812","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W38949178","https://openalex.org/W1518848263","https://openalex.org/W1981603350","https://openalex.org/W1981845593","https://openalex.org/W1989151181","https://openalex.org/W1994372415","https://openalex.org/W2010315317","https://openalex.org/W2011434217","https://openalex.org/W2036463286","https://openalex.org/W2043775053","https://openalex.org/W2045898758","https://openalex.org/W2050576295","https://openalex.org/W2052286413","https://openalex.org/W2055270817","https://openalex.org/W2059908495","https://openalex.org/W2064044318","https://openalex.org/W2070354526","https://openalex.org/W2083574922","https://openalex.org/W2084547505","https://openalex.org/W2088875936","https://openalex.org/W2094078373","https://openalex.org/W2114060909","https://openalex.org/W2118911208","https://openalex.org/W2121574995","https://openalex.org/W2129552963","https://openalex.org/W2152301798","https://openalex.org/W2168619051","https://openalex.org/W4249019869","https://openalex.org/W4302564868","https://openalex.org/W6674136061"],"related_works":["https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2941610985","https://openalex.org/W2791431590","https://openalex.org/W4235810826","https://openalex.org/W1978900583","https://openalex.org/W2350688482","https://openalex.org/W2122135111","https://openalex.org/W2053575972"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,7,14,37],"long-standing":[4],"problem":[5],"of":[6,16,50,79],"unavoidable":[8],"gaps":[9],"that":[10,59],"arise":[11],"when":[12],"expressing":[13],"intersection":[15],"two":[17],"NURBS":[18,29,51,80],"surfaces":[19],"using":[20],"conventional":[21],"trimmed-NURBS":[22],"representation.":[23],"The":[24,45,67],"solution":[25,46],"converts":[26],"each":[27],"trimmed":[28],"into":[30,40],"an":[31],"untrimmed":[32,38],"T-Spline,":[33],"and":[34],"then":[35],"merges":[36],"T-Splines":[39],"a":[41,77],"single,":[42],"watertight":[43,48],"model.":[44],"enables":[47],"fillets":[49],"models,":[52],"as":[53,55,76],"well":[54],"arbitrary":[56],"feature":[57],"curves":[58],"do":[60],"not":[61],"have":[62],"to":[63],"follow":[64],"iso-parameter":[65],"curves.":[66],"resulting":[68],"T-Spline":[69],"representation":[70],"can":[71],"be":[72],"exported":[73],"without":[74],"error":[75],"collection":[78],"surfaces.":[81]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
