散乱数据渐近正定径向基函数插值  

ASYMPTOTIC POSITIVE DEFINITE RADIAL BASIS INTERPOLATION FOR SCATTERED DATA

作　　者：徐应祥[1] 

机构地区：[1]中山大学新华学院,广州510520

出　　处：《数值计算与计算机应用》2016年第1期1-10,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金项目(10871160)

摘　　要：结合一元B样条和已有径向基函数的优点,提出了一种渐近正定径向基函数,并将其应用于散乱数据插值,得到了一种新的插值方法.数值例子表明,这种插值方法具有良好的效果.最后将这种插值与其他散乱数据插值方法做了一些对比,讨论了其优缺点,并提出了进一步的研究方向.Combine the advantages of univariate B-spline and radial basis function, a class of asymptotic positive definite radial basis functions are constructed and be used in scattered data interpolation. A new interpolation method is obtained. Numerical examples illustrate that the interpolation results are good. Finally, the interpolation is compared with other scattered data interpolation methods, its advantages and disadvantages are discussed, and the directions of further research are put forward.

关 键 词：散乱数据 渐近正定 径向基 插值 

分 类 号：O174.42[理学—数学]