A Family of Spline Quasi-Interpolants on the Sphere

被引：0
|
作者：
O. Nouisser
D. Sbibih
Paul Sablonnière
机构：
[1] Faculté des Sciences,Département de Mathématiques et Informatique
[2] Université Mohammed I,undefined
[3] Oujda,undefined
[4] INSA,undefined
来源：
Numerical Algorithms | 2003年 / 33卷
关键词：
tensor products; polynomial splines; trigonometric splines; quasi-interpolants;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we construct a local quasi-interpolant Q for fitting a function f defined on the sphere S. We first map the surface S onto a rectangular domain and next, by using the tensor product of polynomial splines and 2π-periodic trigonometric splines, we give the expression of Qf. The use of trigonometric splines is necessary to enforce some boundary conditions which are useful to ensure the C2 continuity of the associated surface. Finally, we prove that Q realizes an accuracy of optimal order.
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页码：399 / 413
页数：14
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