A bivariate rational cubic interpolating spline with biquadratic denominator

被引：0
|
作者：
Tao, Youtian [1 ,2 ,3 ]
Wang, Dongyin [1 ]
机构：
[1] Chaohu Coll, Dept Math, Chaohu 238000, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[3] Anhui Fuhuang Steel Struct, Chaohu 238076, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 264卷
关键词：
Bivariate rational interpolating spline; Shape parameter; Bounded property; Error estimate; Symmetry; NURBS;
D O I：
10.1016/j.amc.2015.04.100
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bivariate rational bicubic interpolating spline (BRIS) with biquadratic denominator and six shape parameters is constructed in a rectangle domain. The C-1 continuous condition of BRIS discussed. BRIS is proved to be bounded and its error is estimated. In the case of the equally spaced knots, the matrix expression and symmetry of BRIS are presented. Some properties of the basis of BRIS are given. In the end, a numerical example is given to illustrat the effect of the shape parameters on the shape of BRIS surface. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：366 / 377
页数：12
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