摘要
以代数几何中某些理论方法为工具,对球面上Lagrange插值问题进行了研究和探讨.将文献[1]中所给出构造关于球面插值适定结点组的添加平面法推广到了添加圆锥曲面的情形,该方法是以迭加过程来实现的,因此便于在计算机上实现其构造过程.
In this paper,using some methods and theories in algebraic geometry as tools,the problem of Lagrange Interpolation on a sphere is researched and approached.The plane-superposed process which was given in ／ for constructing Properly Posed set of Nodes of trivariate Lagrange interpolation along a sphere is generalized to some new methods.The conicoid-superposed process will assure not only the existence and uniqueness of the interpolation function,but also the schemes of interpolation can be conveniently acquired.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2011年第4期416-418,共3页
Journal of Liaoning Normal University:Natural Science Edition
关键词
LAGRANGE插值
适定结点组
球面插值
空间代数曲线插值
Lagrange interpolation
Properly Posped set of Nodes
interpolation along a sphere
interpolation along a space curve
