{"id":"https://openalex.org/W1980133112","doi":"https://doi.org/10.1016/s0167-8396(02)00191-7","title":"Reparametrization of a rational ruled surface using the \u03bc-basis","display_name":"Reparametrization of a rational ruled surface using the \u03bc-basis","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W1980133112","doi":"https://doi.org/10.1016/s0167-8396(02)00191-7","mag":"1980133112"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(02)00191-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(02)00191-7","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/A5032285268","display_name":"Falai Chen","orcid":"https://orcid.org/0000-0002-9898-5922"},"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":true,"raw_author_name":"Falai Chen","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China","\u00a7Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026,PR China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"\u00a7Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026,PR China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032285268"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.2857,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.86230807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":"1","first_page":"11","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.8087344169616699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7800082564353943},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.7070257663726807},{"id":"https://openalex.org/keywords/rational-surface","display_name":"Rational surface","score":0.5453284978866577},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5303866267204285},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5246791243553162},{"id":"https://openalex.org/keywords/ruled-surface","display_name":"Ruled surface","score":0.5091533064842224},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4707285463809967},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.419423371553421},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38919326663017273},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2826550304889679},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23494741320610046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11008152365684509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05431446433067322},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05079951882362366}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.8087344169616699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7800082564353943},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.7070257663726807},{"id":"https://openalex.org/C2777979628","wikidata":"https://www.wikidata.org/wiki/Q208756","display_name":"Rational surface","level":3,"score":0.5453284978866577},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5303866267204285},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5246791243553162},{"id":"https://openalex.org/C123635137","wikidata":"https://www.wikidata.org/wiki/Q840376","display_name":"Ruled surface","level":3,"score":0.5091533064842224},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4707285463809967},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.419423371553421},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38919326663017273},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2826550304889679},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23494741320610046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11008152365684509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05431446433067322},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05079951882362366},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8396(02)00191-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(02)00191-7","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1483218536","https://openalex.org/W2058522117","https://openalex.org/W2059451733","https://openalex.org/W2059860265","https://openalex.org/W2133261933","https://openalex.org/W2232657515","https://openalex.org/W2530332639","https://openalex.org/W6689850006"],"related_works":["https://openalex.org/W4226239329","https://openalex.org/W4375947497","https://openalex.org/W2409338856","https://openalex.org/W2767209261","https://openalex.org/W1968881099","https://openalex.org/W3172293894","https://openalex.org/W1980133112","https://openalex.org/W2811354194","https://openalex.org/W2148139001","https://openalex.org/W2952710633"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}