Shape Preserving Hermite Interpolation by Rational Biquadratic Splines

被引：0

作者：

Sablonniere, Paul ^{[1
]}

机构：

[1] INSA Rennes, F-35043 Rennes, France

来源：

MATHEMATICAL METHODS FOR CURVES AND SURFACES | 2010年 / 5862卷

关键词：

Bivariate interpolation; bivariate rational splines; RECTANGULAR MESH; CONSTRAINTS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We construct a rational biquadratic spline interpolating an arbitrary function and its gradient at vertices of a rectangular grid of a domain Omega = [a, b] x [c,d]. The introduction of the control net allows to give sufficient conditions ensuring the bimonotonicity or the biconvexity of the underlying surface.

引用

页码：370 / 384

页数：15

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