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康斯插值及其误差估计
引用本文:何永富,胥泽银,李德珍,李华,周维奎. 康斯插值及其误差估计[J]. 成都理工大学学报(自然科学版), 1998, 0(1)
作者姓名:何永富  胥泽银  李德珍  李华  周维奎
作者单位:成都理工学院应用数学系,四川石油局地调处
摘    要:文章研究了康斯插值的基本理论,给出了构造康斯插值曲面的一般方法,对布尔和逼近与误差估计也作了探讨;最后,用双三次康斯曲面拟合1/8椭球面。理论和实践都证明,该方法精度高、效果好。

关 键 词:混合函数,角点信息矩阵,布尔和,截断误差,双三次康斯曲面

COONS INTERPOLATION AND ITS ERROR ESTIMATES
He Yongfu ,Xi Zeyin ,Li Dezhen ,Li Hua ,Zhou Weikui. COONS INTERPOLATION AND ITS ERROR ESTIMATES[J]. Journal of Chengdu University of Technology: Sci & Technol Ed, 1998, 0(1)
Authors:He Yongfu   Xi Zeyin   Li Dezhen   Li Hua   Zhou Weikui
Affiliation:He Yongfu 1,Xi Zeyin 1,Li Dezhen 2,Li Hua 1,Zhou Weikui 1
Abstract:In this paper, the fundamental theory of coons interpolation is studied, and the general method to construct coons interpolation surface presented. At the same time, the Boole sum approximation and its error estimates are also discussed. Finally, the authors use bicubic coons surface fitting 1/8 ellipsoid. This method has been proved to be highly accurate and efficient not only in theory but also in practice.
Keywords:mixed function  information matrix of angular point  Boole sum  truncation error  bicubic coons surface  
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