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.
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页码：370 / 384
页数：15
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