{"title":"A 非稳态 C 4 近似细分技术","authors":"Iqra Abdul Razzaq","doi":"10.62227/as/74206","DOIUrl":null,"url":null,"abstract":"This paper comprises the behavior of a non-stationary four-point SD technique that generates C 4 -continuous limit curves using shape parameter δ \\textsuperscript{0}. The asymptotically equivalence behavior and Laurent polynomial method is discussed to prove the convergence analysis and smoothness of the proposed technique.","PeriodicalId":55478,"journal":{"name":"Archives Des Sciences","volume":" 48","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Non-stationary C 4 Approximating Subdivision Technique\",\"authors\":\"Iqra Abdul Razzaq\",\"doi\":\"10.62227/as/74206\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper comprises the behavior of a non-stationary four-point SD technique that generates C 4 -continuous limit curves using shape parameter δ \\\\textsuperscript{0}. The asymptotically equivalence behavior and Laurent polynomial method is discussed to prove the convergence analysis and smoothness of the proposed technique.\",\"PeriodicalId\":55478,\"journal\":{\"name\":\"Archives Des Sciences\",\"volume\":\" 48\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives Des Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.62227/as/74206\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Multidisciplinary\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives Des Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.62227/as/74206","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了一种非稳态四点自变量技术的行为，该技术使用形状参数 δ \textsuperscript{0} 生成 C 4 - 连续极限曲线。本文讨论了渐近等价行为和劳伦多项式方法，以证明所提技术的收敛分析和平滑性。
A Non-stationary C 4 Approximating Subdivision Technique
This paper comprises the behavior of a non-stationary four-point SD technique that generates C 4 -continuous limit curves using shape parameter δ \textsuperscript{0}. The asymptotically equivalence behavior and Laurent polynomial method is discussed to prove the convergence analysis and smoothness of the proposed technique.
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