{"id":"https://openalex.org/W1843687452","doi":"https://doi.org/10.1016/b978-044451104-1/50009-5","title":"Geometric Continuity","display_name":"Geometric Continuity","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1843687452","doi":"https://doi.org/10.1016/b978-044451104-1/50009-5","mag":"1843687452"},"language":"en","primary_location":{"id":"doi:10.1016/b978-044451104-1/50009-5","doi":"https://doi.org/10.1016/b978-044451104-1/50009-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-044451104-1/50009-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Computer Aided Geometric Design","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1593821512","display_name":"Handbook of Computer Aided Geometric Design"},"type":"book-chapter","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/A5027686327","display_name":"J\u00f6rg Peters","orcid":"https://orcid.org/0000-0002-2499-1529","observed_orcids":["https://orcid.org/0000-0002-2499-1529"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J\u00f6rg Peters","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5027686327"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0048,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.94198565,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"193","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9818999767303467,"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":0.9818999767303467,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.007699999958276749,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.0031999999191612005,"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/geometric-continuity","display_name":"geometric continuity","score":0.9959999918937683},{"id":"https://openalex.org/keywords/parametric-curves","display_name":"parametric curves","score":0.7620000243186951},{"id":"https://openalex.org/keywords/parametric-surfaces","display_name":"parametric surfaces","score":0.9210000038146973},{"id":"https://openalex.org/keywords/quadratic-curves","display_name":"quadratic curves","score":0.414000004529953},{"id":"https://openalex.org/keywords/continuity-of-derivatives","display_name":"derivative continuity","score":0.44200000166893005},{"id":"https://openalex.org/keywords/smoothness-of-functions","display_name":"smoothness of functions","score":0.3330000042915344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6881807446479797},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6429738402366638},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5609778165817261},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.45445963740348816},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.41782790422439575},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36760830879211426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3554348945617676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22859495878219604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19764432311058044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18276232481002808},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08581110835075378},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.07060319185256958},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/b978-044451104-1/50009-5","doi":"https://doi.org/10.1016/b978-044451104-1/50009-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-044451104-1/50009-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Computer Aided Geometric Design","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.145.7555","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.145.7555","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cise.ufl.edu/research/SurfLab/papers/01handbook.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.7828","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.7828","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cise.ufl.edu/research/SurfLab/papers/01handbook.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.7799999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":117,"referenced_works":["https://openalex.org/W38024642","https://openalex.org/W53929717","https://openalex.org/W116390007","https://openalex.org/W120125598","https://openalex.org/W164135727","https://openalex.org/W167059701","https://openalex.org/W182550205","https://openalex.org/W257525205","https://openalex.org/W380705384","https://openalex.org/W575078097","https://openalex.org/W748918678","https://openalex.org/W1504372553","https://openalex.org/W1505363777","https://openalex.org/W1516308706","https://openalex.org/W1517600383","https://openalex.org/W1531884956","https://openalex.org/W1559488781","https://openalex.org/W1563362762","https://openalex.org/W1566704245","https://openalex.org/W1571105655","https://openalex.org/W1587467920","https://openalex.org/W1601543771","https://openalex.org/W1608206702","https://openalex.org/W1768224602","https://openalex.org/W1804816935","https://openalex.org/W1861718797","https://openalex.org/W1862031973","https://openalex.org/W1967996170","https://openalex.org/W1974107472","https://openalex.org/W1976617228","https://openalex.org/W1978165033","https://openalex.org/W1978746189","https://openalex.org/W1980382628","https://openalex.org/W1981921898","https://openalex.org/W1984152806","https://openalex.org/W1985106582","https://openalex.org/W1985405234","https://openalex.org/W1985426375","https://openalex.org/W1986350305","https://openalex.org/W1996474504","https://openalex.org/W1997506119","https://openalex.org/W2002355661","https://openalex.org/W2003398498","https://openalex.org/W2004097438","https://openalex.org/W2004300317","https://openalex.org/W2005319929","https://openalex.org/W2010600508","https://openalex.org/W2014814801","https://openalex.org/W2018251585","https://openalex.org/W2020392827","https://openalex.org/W2021885507","https://openalex.org/W2023872995","https://openalex.org/W2029119997","https://openalex.org/W2030596107","https://openalex.org/W2031909806","https://openalex.org/W2032133082","https://openalex.org/W2034981996","https://openalex.org/W2039153495","https://openalex.org/W2039562297","https://openalex.org/W2042737223","https://openalex.org/W2048516151","https://openalex.org/W2049965054","https://openalex.org/W2053674850","https://openalex.org/W2055566346","https://openalex.org/W2060126595","https://openalex.org/W2061336733","https://openalex.org/W2062436516","https://openalex.org/W2062709283","https://openalex.org/W2063581946","https://openalex.org/W2064547597","https://openalex.org/W2071294457","https://openalex.org/W2072052031","https://openalex.org/W2073422063","https://openalex.org/W2073867255","https://openalex.org/W2074135659","https://openalex.org/W2077553158","https://openalex.org/W2078349886","https://openalex.org/W2078818360","https://openalex.org/W2079256987","https://openalex.org/W2082328913","https://openalex.org/W2082405142","https://openalex.org/W2084326687","https://openalex.org/W2086264654","https://openalex.org/W2087110612","https://openalex.org/W2091775660","https://openalex.org/W2092585034","https://openalex.org/W2092593653","https://openalex.org/W2097415784","https://openalex.org/W2101468456","https://openalex.org/W2118355331","https://openalex.org/W2124009217","https://openalex.org/W2126805686","https://openalex.org/W2138517065","https://openalex.org/W2158589654","https://openalex.org/W2160676410","https://openalex.org/W2288476045","https://openalex.org/W2470305353","https://openalex.org/W2479688730","https://openalex.org/W2595897327","https://openalex.org/W2911559457","https://openalex.org/W2911668542","https://openalex.org/W2912858543","https://openalex.org/W2913816397","https://openalex.org/W2915042505","https://openalex.org/W2923943767","https://openalex.org/W2949146770","https://openalex.org/W3144112538","https://openalex.org/W4233121810","https://openalex.org/W4247266993","https://openalex.org/W4255120022","https://openalex.org/W6601538931","https://openalex.org/W6609199575","https://openalex.org/W6631103962","https://openalex.org/W6631698296","https://openalex.org/W6633889522","https://openalex.org/W6635305951","https://openalex.org/W7071507000"],"related_works":["https://openalex.org/W4232176367","https://openalex.org/W4251197022","https://openalex.org/W2061336733","https://openalex.org/W2462571725","https://openalex.org/W177391181","https://openalex.org/W2596627024","https://openalex.org/W2551246478","https://openalex.org/W149058363","https://openalex.org/W2391001157","https://openalex.org/W2058387119"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}