【摘要】 传统的插值方法一般是基于三角形或四边形剖分的 ,它们在应用上不易处理类似于呈圆形分布的问题 ,有一定的局限性 .文中给出一种新的基于同心圆与平行直线剖分的插值方法 ,使用该方法构造的插值函数是保对称的 ,且是多项式函数 ;并在理论上给出一种误差估计方法 ,最后给出数值实例更多还原

【Abstract】 Many traditional methods of interpolation are based on triangular or quadrilateral partition. Such interpolation has drawback in dealing with certain problems such as circularly distributed data. This paper presents a new method to construct multivariate polynomial interpolation based on the partition of concentric circles and parallel lines, and the interpolation is symmetrical and polynomial. Error analysis of the interpolation is given and examples are presented to illustrate the efficiency of interpolation.更多还原