{"id":"https://openalex.org/W1979078595","doi":"https://doi.org/10.1016/j.cagd.2010.11.001","title":"Spherical quadratic B\u00e9zier triangles with chord length parameterization and tripolar coordinates in space","display_name":"Spherical quadratic B\u00e9zier triangles with chord length parameterization and tripolar coordinates in space","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W1979078595","doi":"https://doi.org/10.1016/j.cagd.2010.11.001","mag":"1979078595"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cagd.2010.11.001","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5079243183","display_name":"Bohum\u00edr Bastl","orcid":"https://orcid.org/0000-0002-0628-0811"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Bohum\u00edr Bastl","raw_affiliation_strings":["UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045854462","display_name":"Bert J\u00fcttler","orcid":"https://orcid.org/0000-0002-5518-7795"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bert J\u00fcttler","raw_affiliation_strings":["Johannes Kepler University of Linz, Institute of Applied Geometry, Austria"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler University of Linz, Institute of Applied Geometry, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013164325","display_name":"Miroslav L\u00e1vi\u010dka","orcid":"https://orcid.org/0000-0002-1635-2874"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Miroslav L\u00e1vi\u010dka","raw_affiliation_strings":["UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072589415","display_name":"Josef Schicho","orcid":"https://orcid.org/0000-0002-5556-4001"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Josef Schicho","raw_affiliation_strings":["Radon Institute of Computational and Applied Mathematics, Linz, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"Radon Institute of Computational and Applied Mathematics, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015143193","display_name":"Zbyn\u011bk \u0160\u0131\u0301r","orcid":"https://orcid.org/0000-0003-1701-5973"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Zbyn\u011bk \u0160\u00edr","raw_affiliation_strings":["UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF WEST BOHEMIA DEPARTMENT OF MATHEMATICS PLZE\u0147 CZECH REPUBLIC","institution_ids":["https://openalex.org/I92715842"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.598,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.687851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":81,"max":82},"biblio":{"volume":"28","issue":"2","first_page":"127","last_page":"134"},"is_retracted":false,"is_paratext":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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9895,"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":0.9857,"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/chord","display_name":"Chord (peer-to-peer)","score":0.60748076}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7937368},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.72277623},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6263322},{"id":"https://openalex.org/C194147245","wikidata":"https://www.wikidata.org/wiki/Q1076368","display_name":"Chord (peer-to-peer)","level":2,"score":0.60748076},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.50075936},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.48075768},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39056325},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38307568},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36738643},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3403895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0858112},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cagd.2010.11.001","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.58}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":17,"referenced_works":["https://openalex.org/W1505008027","https://openalex.org/W1532721371","https://openalex.org/W1537626162","https://openalex.org/W1590918514","https://openalex.org/W1965429875","https://openalex.org/W1972805588","https://openalex.org/W1989389927","https://openalex.org/W2008320790","https://openalex.org/W2020737958","https://openalex.org/W2053269273","https://openalex.org/W2086033914","https://openalex.org/W2089358519","https://openalex.org/W2116785854","https://openalex.org/W383524443","https://openalex.org/W4252993423","https://openalex.org/W4255120022","https://openalex.org/W624213318"],"related_works":["https://openalex.org/W2734337962","https://openalex.org/W2563912921","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W2363702217","https://openalex.org/W2051058708","https://openalex.org/W1983207144","https://openalex.org/W1976468483","https://openalex.org/W154868527","https://openalex.org/W1494268238"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1979078595","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-03-15T21:34:53.938025","created_date":"2016-06-24"}