{"id":"https://openalex.org/W2045818224","doi":"https://doi.org/10.1109/sibgrapi.2011.18","title":"Geodesic Conic Subdivision Curves on Surfaces","display_name":"Geodesic Conic Subdivision Curves on Surfaces","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2045818224","doi":"https://doi.org/10.1109/sibgrapi.2011.18","mag":"2045818224"},"language":"en","primary_location":{"id":"doi:10.1109/sibgrapi.2011.18","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sibgrapi.2011.18","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 24th SIBGRAPI Conference on Graphics, Patterns and Images","raw_type":"proceedings-article"},"type":"conference-paper","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/A5055011148","display_name":"Jorge Estrada Sarlabous","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119680","display_name":"Instituto de Cibern\u00e9tica Matem\u00e1tica y F\u00edsica","ror":"https://ror.org/02n3qcb27","country_code":"CU","type":"facility","lineage":["https://openalex.org/I4210119680"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"Jorge Estrada Sarlabous","raw_affiliation_strings":["Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","Dept. de Mat., ICIMAF, Havana, Cuba"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]},{"raw_affiliation_string":"Dept. de Mat., ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048135909","display_name":"Victoria Hern \u0301ndez Mederos","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119680","display_name":"Instituto de Cibern\u00e9tica Matem\u00e1tica y F\u00edsica","ror":"https://ror.org/02n3qcb27","country_code":"CU","type":"facility","lineage":["https://openalex.org/I4210119680"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"Victoria Hern\u00b4ndez Mederos","raw_affiliation_strings":["Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","Dept. de Mat., ICIMAF, Havana, Cuba"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]},{"raw_affiliation_string":"Dept. de Mat., ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078441487","display_name":"Nayla L\u00f3pez Gil","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119680","display_name":"Instituto de Cibern\u00e9tica Matem\u00e1tica y F\u00edsica","ror":"https://ror.org/02n3qcb27","country_code":"CU","type":"facility","lineage":["https://openalex.org/I4210119680"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"Nayla Lopez Gil","raw_affiliation_strings":["Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","Dept. de Mat., ICIMAF, Havana, Cuba"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]},{"raw_affiliation_string":"Dept. de Mat., ICIMAF, Havana, Cuba","institution_ids":["https://openalex.org/I4210119680"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015241528","display_name":"Luiz Velho","orcid":"https://orcid.org/0000-0001-5489-4909"},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Luiz Velho","raw_affiliation_strings":["Visgraf Laboratory, IMPA, Rio de Janeiro, Brazil","Visgraf Lab., IMPA, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visgraf Laboratory, IMPA, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Visgraf Lab., IMPA, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038866816","display_name":"Dimas Mart\u00ednez","orcid":"https://orcid.org/0000-0001-5192-8376"},"institutions":[{"id":"https://openalex.org/I79889768","display_name":"Universidade Federal de Alagoas","ror":"https://ror.org/00dna7t83","country_code":"BR","type":"education","lineage":["https://openalex.org/I79889768"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Dimas Martinez Morera","raw_affiliation_strings":["Instituto de Matem\u00e1tica, UFAL, Maceio, Brazil","Inst. de Mat., UFAL, Maceio, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, UFAL, Maceio, Brazil","institution_ids":["https://openalex.org/I79889768"]},{"raw_affiliation_string":"Inst. de Mat., UFAL, Maceio, Brazil","institution_ids":["https://openalex.org/I79889768"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":null,"first_page":"56","last_page":"63"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9904000163078308,"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":0.9700999855995178,"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/conic-section","display_name":"Conic section","score":0.6789773106575012},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6747628450393677},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6686797738075256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6459641456604004},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5998312830924988},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5821795463562012},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.4670756161212921},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.42257237434387207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4171156585216522},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3603760600090027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32756179571151733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21443766355514526},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.09059539437294006}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6789773106575012},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6747628450393677},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6686797738075256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6459641456604004},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5998312830924988},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5821795463562012},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.4670756161212921},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.42257237434387207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4171156585216522},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3603760600090027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32756179571151733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21443766355514526},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.09059539437294006},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/sibgrapi.2011.18","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sibgrapi.2011.18","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 24th SIBGRAPI Conference on Graphics, Patterns and Images","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.228.8004","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.8004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.visgraf.impa.br/Data/RefBib/PS_PDF/sib11-dimas/dimas.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7400000095367432,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1587477963","https://openalex.org/W1594267047","https://openalex.org/W1601815956","https://openalex.org/W1737290713","https://openalex.org/W1975297463","https://openalex.org/W1986353267","https://openalex.org/W1986578548","https://openalex.org/W1999244633","https://openalex.org/W1999690352","https://openalex.org/W2021955223","https://openalex.org/W2027202324","https://openalex.org/W2030382224","https://openalex.org/W2033647758","https://openalex.org/W2034940548","https://openalex.org/W2037613906","https://openalex.org/W2042746037","https://openalex.org/W2057823172","https://openalex.org/W2115142737","https://openalex.org/W2123913325","https://openalex.org/W2129612824","https://openalex.org/W4243302541","https://openalex.org/W4388250268"],"related_works":["https://openalex.org/W1570723700","https://openalex.org/W2391229861","https://openalex.org/W1985106461","https://openalex.org/W2045442863","https://openalex.org/W2357962293","https://openalex.org/W2068447834","https://openalex.org/W4385453521","https://openalex.org/W2364758704","https://openalex.org/W2378962820","https://openalex.org/W2110097997"],"abstract_inverted_index":{"In":[0,44],"this":[1],"paper":[2],"we":[3],"present":[4],"a":[5,18,25,30,38,52,74,83],"nonlinear":[6],"curve":[7,40,50],"subdivision":[8,61],"scheme,":[9],"suitable":[10,110],"for":[11,111],"designing":[12,112],"curves":[13,113],"on":[14,24,41,73,114],"surfaces.":[15],"Starting":[16],"with":[17,22],"geodesic":[19,33],"control":[20,70,85],"polygon":[21],"vertices":[23],"surface,":[26],"the":[27,42,45,48,60,69,87,90,95,107,119],"scheme":[28,108],"generates":[29],"sequence":[31],"of":[32,59,68,86,89],"polygons":[34],"that":[35,106],"converges":[36],"to":[37,64,81,102],"continuous":[39],"surface.":[43],"planar":[46],"case,":[47],"limit":[49],"is":[51,109],"conic":[53],"Bezier":[54],"spline":[55],"curve.":[56,91],"Each":[57],"section":[58],"curve,":[62],"corresponding":[63],"three":[65],"consecutive":[66],"points":[67],"polygon,":[71],"depends":[72],"free":[75],"parameter":[76],"which":[77],"can":[78],"be":[79],"used":[80],"obtain":[82],"local":[84],"shape":[88],"Furthermore,":[92],"it":[93],"has":[94,118],"convex":[96,120],"hull":[97,121],"property.":[98,122],"Results":[99],"are":[100],"extended":[101],"triangulated":[103],"surfaces":[104,116],"showing":[105],"these":[115],"and":[117]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}