{"id":"https://openalex.org/W2002309171","doi":"https://doi.org/10.1016/0167-8396(94)90026-4","title":"The invariance of weak convexity conditions of B-nets with respect to subdivision","display_name":"The invariance of weak convexity conditions of B-nets with respect to subdivision","publication_year":1994,"publication_date":"1994-02-01","ids":{"openalex":"https://openalex.org/W2002309171","doi":"https://doi.org/10.1016/0167-8396(94)90026-4","mag":"2002309171"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8396(94)90026-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(94)90026-4","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/A5100628030","display_name":"Yu Feng","orcid":"https://orcid.org/0000-0003-0676-7344"},"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":"Yu Yu Feng","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026 People's Republic of China","\u2020 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People\u2019s Republic of China ("],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026 People's Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"\u2020 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People\u2019s Republic of China (","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035003255","display_name":"Fa Lai Chen","orcid":null},"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":"Fa Lai Chen","raw_affiliation_strings":["Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026 People's Republic of China","\u2020 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People\u2019s Republic of China ("],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026 People's Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"\u2020 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People\u2019s Republic of China (","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043304326","display_name":"Hong Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Ling Zhou","raw_affiliation_strings":["Department of Mathematics, Tianjin University, Tianjin, 300072 People's Republic of China","Department of Mathematics, Tianjin University, Tianjin 300072, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tianjin University, Tianjin, 300072 People's Republic of China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"Department of Mathematics, Tianjin University, Tianjin 300072, People\u2019s Republic of China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100628030"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5462,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64236606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"11","issue":"1","first_page":"97","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9940000176429749,"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":0.9940000176429749,"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/convexity","display_name":"Convexity","score":0.9381983280181885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7856730222702026},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6025828719139099},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5645402073860168},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.525107204914093},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.520012378692627},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47685158252716064},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4183497130870819},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3268014192581177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32668793201446533},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.31373611092567444},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.0783035159111023}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9381983280181885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7856730222702026},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6025828719139099},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5645402073860168},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.525107204914093},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.520012378692627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47685158252716064},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4183497130870819},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3268014192581177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32668793201446533},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31373611092567444},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0783035159111023},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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":1,"locations":[{"id":"doi:10.1016/0167-8396(94)90026-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(94)90026-4","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":5,"referenced_works":["https://openalex.org/W1989699150","https://openalex.org/W1999071517","https://openalex.org/W2048963758","https://openalex.org/W2052391364","https://openalex.org/W2149437006"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2349750818","https://openalex.org/W2389027842","https://openalex.org/W2047287464","https://openalex.org/W2062151580","https://openalex.org/W2912909874","https://openalex.org/W4288573727","https://openalex.org/W2768754015","https://openalex.org/W2981448761"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}