Based on two-point digital differential formula,a model to represent the surface of a grid DEM based on two-element splines interpolation is obtained,and a propagation error formula by the spline is derived.
根据两点数值微分公式建立了基于二元样条函数的规则格网数字高程模型(DEM)的表面表达模型,得出了基于二元样条函数的传递误差公式。
In this paper,by using the well-known B-net method,a minimal determining set for bivariate weak spline space W_(2μ)~μ(I_1 star(v_i)) is constructed and therefore the dimension of the space is determined.
基于B-网方法,在一定条件下构造了由一列星形域构成的三角剖分star(v_i)相应定点剖分I_1 star(v_i)下2μ次μ阶光滑二元弱样条函数空间W_(2μ)~μ(I_1 star(v_i))的一个最小决定集,据此给出了该空间的维数。
Under uniform partition, univariate quadric spline as form is in S.
通常给出的一元二次样条函数的插值方法均是递推的。
The thesis is organized as follows: In Chapter 1, we brie?y introducebivariate spline spaces, summarise some known results on the dimension of bivariate splinespaces.
内容安排如下:第一章介绍有关二元样条函数空间的基础知识,简要总结国内外研究样条函数空间维数的进展情况及本论文的主要工作。
Bivariate Spline Method for Scattered Data Fitting;
二元样条函数方法求数据插值拟合问题
Dimensions of Bivariate Spline Spaces and Bivariate Weak Spline Spaces
二元样条函数空间及弱样条函数空间的维数
Bivariate Spline Method for Numerical Solution of Partial Differential Equations;
二元样条函数方法求偏微分方程数值解
Dimensions of Bivariate Spline Spaces over Unconstricted Triangulations;
非收缩三角剖分下二元样条函数空间的维数
Bivariate Spline Method for Scattered Data Fitting;
二元样条函数方法求数据插值拟合问题
Local Basis and Dimensions of Bivariate Spline Spaces Over Some Special Triangulations
特殊三角剖分下二元样条函数空间的局部基和维数
On construction of orthogonal periodic wavelt of birariate Box splines function
二元Box样条的正交周期小波函数构造
Bivariate Cubic Spline Spaces on Powell-Sabin Triangulations;
Powell-Sabin加密三角剖分下二元三次样条函数空间
Bivariate Cubic Spline Space on Wang s Rerined Triangulation;
Wang-型加密三角剖分下二元三次样条函数空间
Kernel Function based on Two-variable b-spline basis and SVM
基于二元B样条基的核函数及支持向量机研究
A Local Basis for C~2 Quintic Spline Space over S_5~2△_W Triangulation
二元五次C~2样条函数空间S_5~2(△_W)的局部基
Bivariate C～2 Quartic Spline Spaces over Uniform Type-2 Triangulation with Boundary Conditions;
均匀Ⅱ—型三角剖分上带边界条件的二元四次样条函数空间
The Connection Problem of the Bivariate Quadratic Spline on Some Triangulations;
某些三角剖分上的二元二次样条函数的光滑连接问题
Local Lagrange Interpolation by Bivariate Splines of Degree Seven on Triangulated Quadrangulation
四边形三角化部分下二元七次样条函数空间上局部Lagrange插值
Research on the Dimension of Multivariate Weak Spline Space;
多元弱样条函数空间维数问题的研究
New Proof of the Adequate Conditions for the Judgment of Dualistic Function Extreme Point;
二元函数极值点判定的充分条件新证
A Note on the Xufficient Condition of Binary Function s Extremum;
二元函数极值的充分条件的一点补充
A method of getting multivariate distribution functions by B-splines
多元分布函数的一种B-样条构造法
Two variable operator-valued functions in Mikusinski operators
Mikusinski二元算符函数