Shape-preserving interpolants with high smoothness

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• 作者：Cravero ; Isabella ; Manni ; Carla
• 关键词：41A05 ; 41A25 ; 41A29 ; 65D05 ; Shape preserving ; Interpolation ; Parametric curves ; Bé ; zier curves
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2003
• 出版时间：August 15, 2003
• 年：2003
• 卷：157
• 期：2
• 页码：383-405
• 全文大小：796 K

文摘

The aim of the present paper is to introduce a new method to construct a C³ function which interpolates a given set of data in a shape-preserving way. The resulting function is a parametric quintic curve whose shape is controlled by tension parameters which have a direct geometric meaning.