Computation of Hermite interpolation in terms of B-spline basis using polar forms

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• 作者：A. Lamnii^a ; ^{a_lamnii@yahoo.fr} ; M. Lamnii^b ; ^{m_lamnii1@yahoo.fr} ; F. Oumellal^a ; ^{fatimaoumellal5@gmail.com}
• 关键词：B-splines ; Hermite interpolation ; Polar forms
• 刊名：Mathematics and Computers in Simulation
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：134
• 期：Complete
• 页码：17-27
• 全文大小：321 K
• 卷排序：134

文摘

The aim of this paper is to present an Hermite interpolation problem with B-splines of high degree of smoothness. More precisely, we use polar forms to find the B-spline control points for Hermite interpolation. The resulting formula is used to give Hermite basis functions. In particular, Quadratic C1C1 and cubic C2C2 interpolations with sharp parameters are analyzed.