{"id":"https://openalex.org/W2069769348","doi":"https://doi.org/10.1109/cadcg.2009.5246927","title":"C<sup>1</sup> bicubic splines over general T-meshes","display_name":"C<sup>1</sup> bicubic splines over general T-meshes","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2069769348","doi":"https://doi.org/10.1109/cadcg.2009.5246927","mag":"2069769348"},"language":"en","primary_location":{"id":"doi:10.1109/cadcg.2009.5246927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2009.5246927","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics","raw_type":"proceedings-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/A5100353783","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-0144-9489"},"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":"Xin Li","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100604592","display_name":"Jiansong Deng","orcid":"https://orcid.org/0000-0003-4093-373X"},"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":false,"raw_author_name":"Jiansong Deng","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","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":false,"raw_author_name":"Falai Chen","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China, 230026","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100353783"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.3502,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64103646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":null,"first_page":"92","last_page":"95"},"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":0.9521999955177307,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9247999787330627,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/polygon-mesh","display_name":"Polygon mesh","score":0.8646895885467529},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.760280966758728},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6564843058586121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5136996507644653},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.512841522693634},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.49551689624786377},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42396241426467896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3271762728691101},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.31467482447624207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30195310711860657},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2984011173248291},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.13000935316085815},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.084056556224823}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8646895885467529},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.760280966758728},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6564843058586121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5136996507644653},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.512841522693634},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.49551689624786377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42396241426467896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3271762728691101},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.31467482447624207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30195310711860657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2984011173248291},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.13000935316085815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.084056556224823},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cadcg.2009.5246927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2009.5246927","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-1800","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/801","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1989151181","https://openalex.org/W2036463286","https://openalex.org/W2098439479","https://openalex.org/W2139010991","https://openalex.org/W2141262722","https://openalex.org/W4249019869"],"related_works":["https://openalex.org/W2005478455","https://openalex.org/W1968086293","https://openalex.org/W2050851932","https://openalex.org/W2184057547","https://openalex.org/W4210950568","https://openalex.org/W3201757880","https://openalex.org/W2381018316","https://openalex.org/W2048163432","https://openalex.org/W1542092300","https://openalex.org/W1740070153"],"abstract_inverted_index":{"The":[0,34],"present":[1,75],"authors":[2],"have":[3],"introduced":[4],"polynomial":[5],"splines":[6],"over":[7,18,28,69,82],"T-meshes":[8,30],"(PHT-splines)":[9],"and":[10,14,64],"provided":[11],"the":[12,47,52,56,61],"theories":[13],"applications":[15],"for":[16,67],"PHT-splines":[17,24,68],"hierarchical":[19],"T-meshes.":[20,71],"This":[21],"paper":[22],"generalizes":[23],"to":[25,45,77],"arbitrary":[26],"topology":[27],"general":[29,35,70],"with":[31],"any":[32],"structures.":[33],"PHT-spline":[36],"surfaces":[37],"can":[38],"be":[39],"constructed":[40],"through":[41],"an":[42],"unified":[43],"scheme":[44],"interpolate":[46],"local":[48],"geometric":[49],"information":[50],"at":[51],"basis":[53],"vertices":[54],"of":[55],"T-mesh.":[57],"We":[58],"also":[59],"discuss":[60],"edge":[62],"insertion":[63],"removal":[65],"algorithms":[66,76],"As":[72],"applications,":[73],"we":[74],"construct":[78],"a":[79,83,86],"spline":[80],"surface":[81],"T-mesh":[84],"from":[85],"quadrilateral":[87],"mesh.":[88]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}