The Control of Symmetric Data Interpolation Surface

This paper discuss the property of symmetric data interpolation surface. For the given data, when the parameters very, the interpolating surface varies, so the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed. The problem is that when the two parameters vary, how does the interpolating surface change. The discussion focuses on the problem in this paper. With the change of the two parameters, the trend of variations of the interpolating surface is derived. Based on the conclusion on the two parameters, one easy to control the shape of the surface. Examples to show the effect of the parameters on the surfaces are given.