{"id":"https://openalex.org/W1552358399","doi":"https://doi.org/10.1007/978-3-540-79246-8_25","title":"Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter","display_name":"Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter","publication_year":2008,"publication_date":"2008-04-29","ids":{"openalex":"https://openalex.org/W1552358399","doi":"https://doi.org/10.1007/978-3-540-79246-8_25","mag":"1552358399"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-79246-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79246-8_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5016255619","display_name":"Gang Xu","orcid":"https://orcid.org/0000-0003-3557-9529"},"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":true,"raw_author_name":"Gang Xu","raw_affiliation_strings":["Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R. China","Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, P.R. China#TAB#","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032478523","display_name":"Guozhao Wang","orcid":"https://orcid.org/0000-0003-2397-197X"},"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":"Guozhao Wang","raw_affiliation_strings":["Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R. China","Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R. China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, P.R. China#TAB#","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016255619"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.484,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.9343209,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"329","last_page":"343"},"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":0.9944999814033508,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.7796506881713867},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6890522837638855},{"id":"https://openalex.org/keywords/minimal-surface","display_name":"Minimal surface","score":0.6753040552139282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6635628938674927},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6122446656227112},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5487481355667114},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5301759243011475},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5257179141044617},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5091187357902527},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.4935251474380493},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36664798855781555},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3310151994228363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3222847580909729},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09939882159233093}],"concepts":[{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.7796506881713867},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6890522837638855},{"id":"https://openalex.org/C30707913","wikidata":"https://www.wikidata.org/wiki/Q1545397","display_name":"Minimal surface","level":2,"score":0.6753040552139282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6635628938674927},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6122446656227112},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5487481355667114},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5301759243011475},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5257179141044617},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5091187357902527},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.4935251474380493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36664798855781555},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3310151994228363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3222847580909729},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09939882159233093},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-79246-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79246-8_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W359282339","https://openalex.org/W1496664306","https://openalex.org/W1550010440","https://openalex.org/W1565212980","https://openalex.org/W1576882143","https://openalex.org/W1580207690","https://openalex.org/W1850664221","https://openalex.org/W1974956622","https://openalex.org/W1978397569","https://openalex.org/W2014629680","https://openalex.org/W2020820949","https://openalex.org/W2032658265","https://openalex.org/W2046579463","https://openalex.org/W2049119031","https://openalex.org/W2054414694","https://openalex.org/W2055410695","https://openalex.org/W2059327787","https://openalex.org/W2068967700","https://openalex.org/W2074009974","https://openalex.org/W2080304293","https://openalex.org/W2101756685","https://openalex.org/W2112624456","https://openalex.org/W2118125272","https://openalex.org/W2121078288","https://openalex.org/W2135073078","https://openalex.org/W2139502098","https://openalex.org/W2141305318","https://openalex.org/W2167341662","https://openalex.org/W2229156033","https://openalex.org/W2282739418","https://openalex.org/W2345461164","https://openalex.org/W2365252937","https://openalex.org/W2499641901","https://openalex.org/W2906407074","https://openalex.org/W2950868589","https://openalex.org/W3023293374","https://openalex.org/W3138586438","https://openalex.org/W3150792027","https://openalex.org/W4240325009","https://openalex.org/W6812042197"],"related_works":["https://openalex.org/W2156818801","https://openalex.org/W2563408919","https://openalex.org/W1993974580","https://openalex.org/W2325706200","https://openalex.org/W2030797602","https://openalex.org/W2488306859","https://openalex.org/W3146523919","https://openalex.org/W1997522605","https://openalex.org/W2357892194","https://openalex.org/W2356764904"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}