{"id":"https://openalex.org/W2052968649","doi":"https://doi.org/10.1016/0167-8396(87)90020-3","title":"Surface/surface intersection","display_name":"Surface/surface intersection","publication_year":1987,"publication_date":"1987-07-01","ids":{"openalex":"https://openalex.org/W2052968649","doi":"https://doi.org/10.1016/0167-8396(87)90020-3","mag":"2052968649"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8396(87)90020-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(87)90020-3","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","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/A5110742646","display_name":"Robert E. Barnhill","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R.E. Barnhill","raw_affiliation_strings":["Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","University of Utah, Salt Lake City"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Utah, Salt Lake City","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030194777","display_name":"Gerald Farin","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Farin","raw_affiliation_strings":["Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","University of Utah, Salt Lake City"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Utah, Salt Lake City","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114256220","display_name":"M. Jordan","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Jordan","raw_affiliation_strings":["Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","University of Utah, Salt Lake City"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Utah, Salt Lake City","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111868261","display_name":"Bruce Piper","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B.R. Piper","raw_affiliation_strings":["Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","University of Utah, Salt Lake City"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Utah, Salt Lake City, UT 84112, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Utah, Salt Lake City","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110742646"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":20.0064,"has_fulltext":false,"cited_by_count":194,"citation_normalized_percentile":{"value":0.99664237,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":"1-2","first_page":"3","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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":0.994700014591217,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9921000003814697,"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/parametric-surface","display_name":"Parametric surface","score":0.7439506649971008},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7101407051086426},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.674561083316803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388968825340271},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5947222709655762},{"id":"https://openalex.org/keywords/geometric-design","display_name":"Geometric design","score":0.5468834638595581},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.5308091640472412},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5142528414726257},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.48110073804855347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.455456405878067},{"id":"https://openalex.org/keywords/computer-aided-design","display_name":"Computer Aided Design","score":0.42507821321487427},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3594570457935333},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32205045223236084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2243397831916809},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18179044127464294},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10216978192329407}],"concepts":[{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.7439506649971008},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7101407051086426},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.674561083316803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388968825340271},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5947222709655762},{"id":"https://openalex.org/C40319758","wikidata":"https://www.wikidata.org/wiki/Q5535477","display_name":"Geometric design","level":2,"score":0.5468834638595581},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.5308091640472412},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5142528414726257},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.48110073804855347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.455456405878067},{"id":"https://openalex.org/C119823426","wikidata":"https://www.wikidata.org/wiki/Q184793","display_name":"Computer Aided Design","level":2,"score":0.42507821321487427},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3594570457935333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32205045223236084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2243397831916809},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18179044127464294},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10216978192329407},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8396(87)90020-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(87)90020-3","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2060996147","https://openalex.org/W2083632529","https://openalex.org/W2316390858","https://openalex.org/W6665435278"],"related_works":["https://openalex.org/W3729366","https://openalex.org/W2350142587","https://openalex.org/W1586734903","https://openalex.org/W2033912262","https://openalex.org/W2086189052","https://openalex.org/W2032513317","https://openalex.org/W2106836404","https://openalex.org/W2023260768","https://openalex.org/W3195524536","https://openalex.org/W82078837"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}