标题：Local shape control of a bivariate rational interpolating surface with mixing conditions
作者：Zhang, Yunfeng ;Bao, Fangxun ;Zhang, Caiming ;Qi, Duan
作者机构：[Zhang, Yunfeng ;Zhang, Caiming ] School of Computer Science and Technology, Shandong Economic University, Shandong Provincial Key Laboratory of Digit 更多
会议名称：2011 8th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2011
会议日期：28 June 2011 through 30 June 2011
来源：Proceedings - 2011 8th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2011
关键词：bivariate interpolation; computer-aided geometric design; mixingconditions; rational spline
摘要：A bivariate rational interpolation method with parameters was created which was based on function values and partial derivatives, it is called the bivariate rational interpolation with mixing conditions. This paper will deal with the bounded property and the point control method of the interpolating surface. It is proved that the values of the interpolating function in the interpolation region are bounded no matter what the parameters might be. Also, the approximation expressions of the interpolation are derived, it is not depends on the parameters. More important is that the value of the interpolating function at any point in the interpolating region can be modified under the condition that the interpolating data are not changed by selecting the suitable parameters, so the interpolation surface can be modified for the given interpolation data when needed in practical design. © 2011 IEEE.