【摘要】 传统的插值方法一般是基于三角形或四边形剖分的 ,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 给出一种新的基于同心圆与直线剖分的插值方法 ,由于该剖分的节点分布是对称的 ,加之所构造的基函数是对称的 ,因而插值函数具有保对称性 ,且是多项式函数 数值实例表明 ,该插值方法对此类问题有很好的效果 ,并给出了相应的误差分析 另外 ,若剖分线退化为射线 ,该方法可适用更一般情形更多还原

【Abstract】 Many traditional interpolation methods are based on the triangular and quadrilateral partition These approaches have drawback when they are applied to deal with problems of circular distribution This paper presents a new method to construct the multivariate polynomial interpolation based on the partition of concentric circles and lines The data points are distributed circularly, and the basis functions are symmetrical, thus the interpolation function preserves symmetry and it is polynomial Examples are given to illustrate the efficiency of interpolation, and the error analysis is also included更多还原