Semi-cardinal interpolation and difference equations: From cubic B-splines to a three-direction box-spline construction

被引：7
作者：
Bejancu, Aurelian
机构：
[1] Kuwait Univ, Dept Math & Comp Sci, Kuwait 13060, Kuwait
[2] Univ Leeds, Dept Math Appl, Leeds LS2 9JT, W Yorkshire, England
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 197卷 / 01期
关键词：
multivariable interpolation; box-splines; boundary conditions; difference equations; Wiener-Hopf;
D O I：
10.1016/j.cam.2005.10.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the problem of interpolation on a semi-plane grid from a space of box-splines on the three-direction mesh. Building on a new treatment of univariate semi-cardinal interpolation for natural cubic splines, the solution is obtained as a Lagrange series with suitable localization and polynomial reproduction properties. It is proved that the extension of the natural boundary conditions to box-spline semi-cardinal interpolation attains half of the approximation order of the cardinal case. (c) 2005 Elsevier B.V. All rights reserved.
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收藏
页码：62 / 77
页数：16
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