{"id":"https://openalex.org/W1968407673","doi":"https://doi.org/10.1007/s00371-010-0462-x","title":"Constructing up to G 2 continuous curve on freeform surface","display_name":"Constructing up to G 2 continuous curve on freeform surface","publication_year":2010,"publication_date":"2010-04-16","ids":{"openalex":"https://openalex.org/W1968407673","doi":"https://doi.org/10.1007/s00371-010-0462-x","mag":"1968407673"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-010-0462-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-010-0462-x","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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/A5088994802","display_name":"Xiaoping Wang","orcid":"https://orcid.org/0000-0001-6518-673X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoping Wang","raw_affiliation_strings":["Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045156613","display_name":"Yaqin Meng","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqin Meng","raw_affiliation_strings":["College of Science, East China University of Science and Technology, Shanghai, 200237, China","East China University of Science and Technology, College of Science, 200237, Shanghai, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, East China University of Science and Technology, Shanghai, 200237, China","institution_ids":["https://openalex.org/I143593769"]},{"raw_affiliation_string":"East China University of Science and Technology, College of Science, 200237, Shanghai, China#TAB#","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100430088","display_name":"Zhiguo Wang","orcid":"https://orcid.org/0000-0002-3628-8275"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiguo Wang","raw_affiliation_strings":["Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100618152","display_name":"Liyan Zhang","orcid":"https://orcid.org/0000-0002-8846-1666"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyan Zhang","raw_affiliation_strings":["Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics, Research Center of CAD/CAM Engineering, 210016, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088994802"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0052,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75795345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"6-8","first_page":"813","last_page":"822"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.996399998664856,"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":0.9952999949455261,"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/mathematics","display_name":"Mathematics","score":0.664657473564148},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6333633065223694},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6232722997665405},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5940577983856201},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.5777580142021179},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5628878474235535},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.5212759971618652},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5151726007461548},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4958697259426117},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4894779920578003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4720098674297333},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.4436197280883789},{"id":"https://openalex.org/keywords/torsion-of-a-curve","display_name":"Torsion of a curve","score":0.43252891302108765},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.411312460899353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27389442920684814},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.1938149631023407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1723748743534088},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.15106269717216492},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08385342359542847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.664657473564148},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6333633065223694},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6232722997665405},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5940577983856201},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.5777580142021179},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5628878474235535},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.5212759971618652},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5151726007461548},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4958697259426117},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4894779920578003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4720098674297333},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.4436197280883789},{"id":"https://openalex.org/C84985374","wikidata":"https://www.wikidata.org/wiki/Q1892644","display_name":"Torsion of a curve","level":5,"score":0.43252891302108765},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.411312460899353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27389442920684814},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.1938149631023407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1723748743534088},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.15106269717216492},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08385342359542847},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00371-010-0462-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-010-0462-x","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1524850277","https://openalex.org/W1562841042","https://openalex.org/W1565212980","https://openalex.org/W1608206702","https://openalex.org/W1970439956","https://openalex.org/W1982241268","https://openalex.org/W1982729005","https://openalex.org/W1985294186","https://openalex.org/W1986578548","https://openalex.org/W1991080137","https://openalex.org/W2009513239","https://openalex.org/W2016361136","https://openalex.org/W2017427737","https://openalex.org/W2017635859","https://openalex.org/W2018702193","https://openalex.org/W2030394252","https://openalex.org/W2039917315","https://openalex.org/W2046598658","https://openalex.org/W2076123236","https://openalex.org/W2076715871","https://openalex.org/W2089358519","https://openalex.org/W2094530836","https://openalex.org/W2147774191","https://openalex.org/W2341283081","https://openalex.org/W2375321949","https://openalex.org/W2912354748","https://openalex.org/W3129861368","https://openalex.org/W4210620228"],"related_works":["https://openalex.org/W2064797526","https://openalex.org/W2146308848","https://openalex.org/W1416690941","https://openalex.org/W2373435319","https://openalex.org/W3091690691","https://openalex.org/W22444828","https://openalex.org/W2504489403","https://openalex.org/W4365129241","https://openalex.org/W2000986152","https://openalex.org/W1968407673"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
