【作者】 王强； 檀结庆；

【Author】 Qiang Wang~(1,2) Jieqing Tan~1 (1 School of Computer & Information,Hefei University of Technology,Hefei 230009) (2 Dept of Maths and Phys Anhui University of Science and Technology,Huainan,Anhui,232001)

【机构】 合肥工业大学计算机与信息学院； 安徽理工大学数理系；

【摘要】 本文构造了含参数的分段线性有理插值函数(分子、分母均为一次多项式),通过适当选择形状参数,由此函数产生的曲线一阶连续并且保单调。文中用张量积方法将此结果推广到二元矩形网格上的曲面插值,同时给出了插值函数的误差估计及数值例子。更多还原

【Abstract】 A piecewise linear rational interpolating function with shape parameters is constructed,which is linear numerator and linear denominator.Through giving approvite values to the shape parameters,the function is continuity and shape preserving.Using this result,we construct an interpolatory surface on the rectangular grids.Furthermore,the error analysis of the interpolant and the numerial examples are also given.更多还原