{"id":"https://openalex.org/W2004482947","doi":"https://doi.org/10.1007/bf01914785","title":"Apex: Two architectures for generating parametric curves and surfaces","display_name":"Apex: Two architectures for generating parametric curves and surfaces","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W2004482947","doi":"https://doi.org/10.1007/bf01914785","mag":"2004482947"},"language":"en","primary_location":{"id":"doi:10.1007/bf01914785","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01914785","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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/A5030916311","display_name":"Tony DeRose","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tony DeRose","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110257986","display_name":"Mary L. Bailey","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mary L. Bailey","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085419279","display_name":"Bill Barnard","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bill Barnard","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008478066","display_name":"Robert Cypher","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Cypher","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052892754","display_name":"David Dobrikin","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Dobrikin","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032101034","display_name":"Carl Ebeling","orcid":"https://orcid.org/0000-0001-5032-3615"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carl Ebeling","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078318947","display_name":"S. Konstantinidou","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Smaragda Konstantinidou","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052062835","display_name":"L. McMurchie","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Larry McMurchie","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032118858","display_name":"Haim Mizrahi","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haim Mizrahi","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032902015","display_name":"Bill Yost","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bill Yost","raw_affiliation_strings":["Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","Department of Computer Science, University of Washington Seattle, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Washington, 98195, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Computer Science, University of Washington Seattle, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5030916311"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5855,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80863961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"5","first_page":"264","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9976999759674072,"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":0.996399998664856,"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/computer-graphics","display_name":"Computer graphics","score":0.6897543668746948},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.6058696508407593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5646037459373474},{"id":"https://openalex.org/keywords/apex","display_name":"Apex (geometry)","score":0.5576761364936829},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.4712051749229431},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4700019955635071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3732953667640686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23402535915374756}],"concepts":[{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.6897543668746948},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.6058696508407593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5646037459373474},{"id":"https://openalex.org/C67139541","wikidata":"https://www.wikidata.org/wiki/Q2858200","display_name":"Apex (geometry)","level":2,"score":0.5576761364936829},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.4712051749229431},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4700019955635071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3732953667640686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23402535915374756},{"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:10.1007/bf01914785","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01914785","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W276995","https://openalex.org/W115996756","https://openalex.org/W2000366549","https://openalex.org/W2003874529","https://openalex.org/W2032402250","https://openalex.org/W2034966370","https://openalex.org/W2075870347","https://openalex.org/W2124378066","https://openalex.org/W2137859839","https://openalex.org/W3007989415","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3013205837","https://openalex.org/W2119387544","https://openalex.org/W4377239781","https://openalex.org/W4251589718","https://openalex.org/W2313004275","https://openalex.org/W2095627444","https://openalex.org/W2354039148","https://openalex.org/W2058351347","https://openalex.org/W2293096836","https://openalex.org/W2005836823"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}