Local Lagrange interpolation on Powell-Sabin triangulations and terrain modelling

被引：0

作者：

Nürnberger, G ^{[1
]}

Zeilfelder, F ^{[1
]}

机构：

[1] Univ Mannheim, Fak Math & Informat, D-68131 Mannheim, Germany

来源：

RECENT PROGRESS IN MULTIVARIATE APPROXIMATION | 2001年 / 137卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local Lagrange interpolation schemes for quadratic C-1-splines on arbitrary triangulations with Powell-Sabin splits are constructed. By using the concept of weak interpolation, it is proved that the interpolation method yields optimal approximation order. We test our method by interpolating scattered data and show how the method can be applied for terrain modelling. We compare the interpolating splines on fine and coarse triangulations obtained from thinning strategies and analyze the data reduction.

引用

页码：227 / 244

页数：18

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