Scattered data interpolation and approximation using bivariate C-1 piecewise cubic polynomials

被引：45
|
作者：
Lai, MJ
机构：
[1] Department of Mathematics, University of Georgia, Athens
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1996年 / 13卷 / 01期
关键词：
bivariate splines; B-net; full approximation order; quadrangulation; scattered data interpolation;
D O I：
10.1016/0167-8396(95)00007-0
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We show that if the scattered data over a polygonal domain can be quadrangulated, then the space of bivariate C-1 piecewise cubic polynomial functions on a triangulation obtained from the quadrangulation has the full approximation order. We point out that our method is more efficient than the Clough-Tocher scheme.
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页码：81 / 88
页数：8
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