Quadratic spline quasi-interpolants on Powell-Sabin partitions

Quadratic spline quasi-interpolants on Powell-Sabin partitions
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DOI:
10.1007/s10444-006-9025-0
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发表时间:
2007-01
影响因子:
1.7
通讯作者:
C. Manni;P. Sablonnière
C. Manni;P. Sablonnière
中科院分区:
数学4区
文献类型:
--
作者:
C. Manni;P. Sablonnière

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本文讨论了非均匀三角剖分上的二次Powell-Sabin样条空间中拟插值的构造问题。提出了最佳逼近阶的拟插值,并给出了数值试验。
In this paper we address the problem of constructing quasi-interpolants in the space of quadratic Powell-Sabin splines on nonuniform triangulations. Quasi-interpolants of optimal approximation order are proposed and numerical tests are presented.