{"id":"https://openalex.org/W2072004195","doi":"https://doi.org/10.3166/tsi.25.709-734","title":"Conversion d'un carreau de B\u00e9zier rationnel biquadratique en un carreau de cyclide de Dupin quartique","display_name":"Conversion d'un carreau de B\u00e9zier rationnel biquadratique en un carreau de cyclide de Dupin quartique","publication_year":2006,"publication_date":"2006-07-01","ids":{"openalex":"https://openalex.org/W2072004195","doi":"https://doi.org/10.3166/tsi.25.709-734","mag":"2072004195"},"language":"fr","primary_location":{"id":"doi:10.3166/tsi.25.709-734","is_oa":false,"landing_page_url":"https://doi.org/10.3166/tsi.25.709-734","pdf_url":null,"source":{"id":"https://openalex.org/S4210191397","display_name":"Techniques et sciences informatiques","issn_l":"0752-4072","issn":["0752-4072","2116-5920"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Techniques et sciences informatiques","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/A5027545765","display_name":"Lionel Garnier","orcid":"https://orcid.org/0000-0002-9534-920X"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lionel Garnier","raw_affiliation_strings":["University of Burgundy ,"],"affiliations":[{"raw_affiliation_string":"University of Burgundy ,","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060004234","display_name":"Sebti Foufou","orcid":"https://orcid.org/0000-0002-3555-9125"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebti Foufou","raw_affiliation_strings":["University of Burgundy ,"],"affiliations":[{"raw_affiliation_string":"University of Burgundy ,","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113694702","display_name":"Marc Neveu","orcid":null},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Neveu","raw_affiliation_strings":["University of Burgundy ,"],"affiliations":[{"raw_affiliation_string":"University of Burgundy ,","institution_ids":["https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027545765"],"corresponding_institution_ids":["https://openalex.org/I177064439"],"apc_list":null,"apc_paid":null,"fwci":0.4114,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.6577625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"6","first_page":"709","last_page":"734"},"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":0.9937000274658203,"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":0.9804999828338623,"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/carreau-fluid","display_name":"Carreau fluid","score":0.7600013613700867},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22283801436424255},{"id":"https://openalex.org/keywords/non-newtonian-fluid","display_name":"Non-Newtonian fluid","score":0.06403043866157532},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.04535794258117676}],"concepts":[{"id":"https://openalex.org/C102560166","wikidata":"https://www.wikidata.org/wiki/Q3258307","display_name":"Carreau fluid","level":3,"score":0.7600013613700867},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22283801436424255},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.06403043866157532},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.04535794258117676}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3166/tsi.25.709-734","is_oa":false,"landing_page_url":"https://doi.org/10.3166/tsi.25.709-734","pdf_url":null,"source":{"id":"https://openalex.org/S4210191397","display_name":"Techniques et sciences informatiques","issn_l":"0752-4072","issn":["0752-4072","2116-5920"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Techniques et sciences informatiques","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":35,"referenced_works":["https://openalex.org/W167920528","https://openalex.org/W264803790","https://openalex.org/W375671282","https://openalex.org/W598166337","https://openalex.org/W605743156","https://openalex.org/W624213318","https://openalex.org/W1505008027","https://openalex.org/W1519874652","https://openalex.org/W1547048629","https://openalex.org/W1559070872","https://openalex.org/W1569179563","https://openalex.org/W1591888463","https://openalex.org/W1593707030","https://openalex.org/W1605417017","https://openalex.org/W1964673636","https://openalex.org/W1965982184","https://openalex.org/W1970622855","https://openalex.org/W1977246238","https://openalex.org/W1987255415","https://openalex.org/W2002673021","https://openalex.org/W2006320754","https://openalex.org/W2008497618","https://openalex.org/W2025782335","https://openalex.org/W2026433308","https://openalex.org/W2043227468","https://openalex.org/W2080589039","https://openalex.org/W2091692250","https://openalex.org/W2103744370","https://openalex.org/W2111993502","https://openalex.org/W2139748658","https://openalex.org/W2158435770","https://openalex.org/W2165049285","https://openalex.org/W2327455747","https://openalex.org/W2914076913","https://openalex.org/W3143929513"],"related_works":["https://openalex.org/W3138250717","https://openalex.org/W2767811659","https://openalex.org/W4313120222","https://openalex.org/W4313181535","https://openalex.org/W2978217490","https://openalex.org/W2174040004","https://openalex.org/W3210565590","https://openalex.org/W2063642135","https://openalex.org/W2898784203","https://openalex.org/W2298631686"],"abstract_inverted_index":{"Dupin":[0,50,79,94],"cyclides":[1],"were":[2],"introduced":[3],"in":[4,34],"1822":[5],"by":[6],"the":[7,64,69,90,97,100,105],"French":[8],"mathematician":[9],"C-P.":[10],"Dupin.":[11],"They":[12],"are":[13],"algebraic":[14],"surfaces":[15,28],"of":[16,23,26,42,71,73,92,99],"degree":[17],"3":[18],"or":[19],"4.":[20],"The":[21],"set":[22],"geometric":[24,38],"properties":[25],"these":[27],"has":[29],"encouraged":[30],"an":[31],"increasing":[32],"interest":[33],"using":[35],"them":[36],"for":[37],"modeling.":[39],"A":[40],"couple":[41],"algorithmes":[43],"is":[44],"already":[45],"developed":[46],"to":[47,88,104],"convert":[48],"a":[49,54,74,78,85,93],"cyclide":[51,80,95],"patch":[52,76,101],"into":[53,77],"rational":[55],"biquadratic":[56],"Bezier":[57,75,107],"patch.":[58,108],"In":[59],"this":[60],"paper,":[61],"we":[62,67,83],"consider":[63],"inverse":[65],"problem:":[66],"investigate":[68],"conditions":[70],"convertibility":[72],"one,":[81],"and":[82],"present":[84],"conversion":[86],"algorithm":[87],"compute":[89],"parameters":[91],"with":[96],"boundary":[98],"that":[102],"corresponds":[103],"given":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"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"}