摘要
本文借助于代数几何技巧构造了具有三次代数精度的基函数。这些基函数计算起来要比E.L.Wachspress定义的楔函数简便且可用于确定多边形域D在三角剖分Δ下空间S′3(Δ,D)中插值多元样条U(x,y)存在的充分必要条件。
In this paper is given the construction of basis functions with accuracy up to degree three by the algebraic geometry technique. These basis functions are shown to be more convenient for computations than those E. L. Wachspress established and are applied to determine the necessary and sufficient conditions for the existence of interpolating multivariate spline u(,x,y) in the space S31 (△, D ) under triangulation △ of polyonal domain D .
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
1992年第4期14-20,共7页
Journal of Hefei University of Technology：Natural Science
关键词
基函数
三角剖分
插值样条
Basis function
Triangulation
Interpolating spline
