With regards to Shepard method, in the paper, we present a better one based on partial approximation to fit messy data. In the method, partial cubic cardinal spline function is chosen as weight function (?)(x) in the ...With regards to Shepard method, in the paper, we present a better one based on partial approximation to fit messy data. In the method, partial cubic cardinal spline function is chosen as weight function (?)(x) in the Shepard formula which is (?)(x)∈C2 and has good attenuation characteristics. So the traditional Shepard method is improved and the better results can be achieved in practical applications.展开更多
In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △（2）mn. the existence, uniqueness and the expression o...In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △（2）mn. the existence, uniqueness and the expression of interpolation periodic bivariate splines are given. And at last, we estimate their approximation order.展开更多
文摘With regards to Shepard method, in the paper, we present a better one based on partial approximation to fit messy data. In the method, partial cubic cardinal spline function is chosen as weight function (?)(x) in the Shepard formula which is (?)(x)∈C2 and has good attenuation characteristics. So the traditional Shepard method is improved and the better results can be achieved in practical applications.
文摘In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △（2）mn. the existence, uniqueness and the expression of interpolation periodic bivariate splines are given. And at last, we estimate their approximation order.
