THE LOCATION OF THE CONTROL POINTS IN THE CASE OF BOX SPLINES

被引：1

作者：

PRAUTZSCH, H

机构：

[1] Technische Universität Braunschweig, Germany

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1986年 / 6卷 / 01期

关键词：

Vectors;

D O I：

10.1093/imanum/6.1.43

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a theorem of Greville (1967) for univariate splines is carried over to multivariate box splines; namely, it is shown how the vector-valued function s(x)=x can expressed in terms of some translates of a box spline. The result means that the graph of a spline function s(x), which is given as a linear combination of box splines, can be viewed as a parametric spline surface. The control points of the graph are explicitly given. © 1986 Oxford University Press.

引用

页码：43 / 49

页数：7